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frama_c_files_v2/test_frama_c_1145.c
#include <stddef.h> /*@ predicate monotone_slice(int* a, size_t low, size_t up) = (\forall integer i,j; low <= i < j < up ==> a[i] < a[j]) || (\forall integer i,j; low <= i <= j < up ==> a[i] >= a[j]); */ /*@ requires length < 100; requires a_valid: \valid(a + (0 .. length - 1)); requires res_valid: \valid(cutpoints + (0 .. length)); requires sep: \separated(a + (0 .. length - 1), cutpoints + (0 .. length)); assigns cutpoints[0 .. length]; ensures pos: \result > 0; ensures beg: cutpoints[0] == 0; ensures end: cutpoints[\result - 1] == length; ensures bounds: \forall integer i; 0 <= i < \result ==> 0<= cutpoints[i] <= length; ensures monotonic: \forall integer i; 0 <= i < \result - 1 ==> monotone_slice(a,cutpoints[i],cutpoints[i+1]); */ size_t monotonic(int* a, size_t length, size_t* cutpoints) { cutpoints[0] = 0; if (length == 0) return 1; size_t x = 0, y = 1; size_t res = 1; /*@ loop invariant outer_bound: 1 <= y <= length; loop invariant x_1: y < length ==> x == y - 1; loop invariant x_2: y == length ==> x == y - 1 || x == y; loop invariant monotone: \forall integer i; 0 <= i < res - 1 ==> monotone_slice(a,cutpoints[i],cutpoints[i+1]); loop invariant res_bounds: 1 <= res <= y; loop invariant content_bounds: \forall integer i; 0 <= i < res ==> 0<= cutpoints[i] <= length; loop invariant cuts_increase: \forall integer i, j; 0 <= i <= j < res ==> cutpoints[i] <= cutpoints[j]; loop invariant last_write: cutpoints[res - 1] == x; loop assigns x,y,res,cutpoints[1 .. length]; loop variant length - y; */ while (y < length) { int increasing = a[x] < a[y]; /*@ loop invariant inner_bound: x + 1 <= y <= length; loop invariant res_low: res <= y; loop invariant mono_slice_1: increasing ==> \forall integer i, j; x <= i < j < y ==> a[i] < a[j]; loop invariant mono_slice_2: (!increasing) ==> \forall integer i, j; x <= i <= j < y ==> a[i] >= a[j]; loop assigns y; loop variant length - y; */ while (y < length && (a[y-1] < a[y]) == increasing) y++; /*@ assert mono: monotone_slice(a,x,y); */ cutpoints[res] = y; res++; /*@ assert mono_res: monotone_slice(a,cutpoints[res-2],cutpoints[res-1]);*/ x = y; if (y < length) y++; } if (x < length) { /*@ assert last: x == length - 1; */ /*@ assert mono_2: monotone_slice(a,x,length); */ cutpoints[res] = length; res++; /*@ assert mono_3: monotone_slice(a,cutpoints[res - 2], cutpoints[res - 1]); */ } return res; }
#include <stddef.h> /*@ predicate monotone_slice(int* a, size_t low, size_t up) = (\forall integer i,j; low <= i < j < up ==> a[i] < a[j]) || (\forall integer i,j; low <= i <= j < up ==> a[i] >= a[j]); */ /*@ requires length < 100; requires a_valid: \valid(a + (0 .. length - 1)); requires res_valid: \valid(cutpoints + (0 .. length)); requires sep: \separated(a + (0 .. length - 1), cutpoints + (0 .. length)); assigns cutpoints[0 .. length]; ensures pos: \result > 0; ensures beg: cutpoints[0] == 0; ensures end: cutpoints[\result - 1] == length; ensures bounds: \forall integer i; 0 <= i < \result ==> 0<= cutpoints[i] <= length; ensures monotonic: \forall integer i; 0 <= i < \result - 1 ==> monotone_slice(a,cutpoints[i],cutpoints[i+1]); */
size_t monotonic(int* a, size_t length, size_t* cutpoints) { cutpoints[0] = 0; if (length == 0) return 1; size_t x = 0, y = 1; size_t res = 1; /*@ loop invariant outer_bound: 1 <= y <= length; loop invariant x_1: y < length ==> x == y - 1; loop invariant x_2: y == length ==> x == y - 1 || x == y; loop invariant monotone: \forall integer i; 0 <= i < res - 1 ==> monotone_slice(a,cutpoints[i],cutpoints[i+1]); loop invariant res_bounds: 1 <= res <= y; loop invariant content_bounds: \forall integer i; 0 <= i < res ==> 0<= cutpoints[i] <= length; loop invariant cuts_increase: \forall integer i, j; 0 <= i <= j < res ==> cutpoints[i] <= cutpoints[j]; loop invariant last_write: cutpoints[res - 1] == x; loop assigns x,y,res,cutpoints[1 .. length]; loop variant length - y; */ while (y < length) { int increasing = a[x] < a[y]; /*@ loop invariant inner_bound: x + 1 <= y <= length; loop invariant res_low: res <= y; loop invariant mono_slice_1: increasing ==> \forall integer i, j; x <= i < j < y ==> a[i] < a[j]; loop invariant mono_slice_2: (!increasing) ==> \forall integer i, j; x <= i <= j < y ==> a[i] >= a[j]; loop assigns y; loop variant length - y; */ while (y < length && (a[y-1] < a[y]) == increasing) y++; /*@ assert mono: monotone_slice(a,x,y); */ cutpoints[res] = y; res++; /*@ assert mono_res: monotone_slice(a,cutpoints[res-2],cutpoints[res-1]);*/ x = y; if (y < length) y++; } if (x < length) { /*@ assert last: x == length - 1; */ /*@ assert mono_2: monotone_slice(a,x,length); */ cutpoints[res] = length; res++; /*@ assert mono_3: monotone_slice(a,cutpoints[res - 2], cutpoints[res - 1]); */ } return res; }
true
57
57
size_t monotonic(int* a, size_t length, size_t* cutpoints) { cutpoints[0] = 0; if (length == 0) return 1; size_t x = 0, y = 1; size_t res = 1; /*@ loop invariant outer_bound: 1 <= y <= length; loop invariant x_1: y < length ==> x == y - 1; loop invariant x_2: y == length ==> x == y - 1 || x == y; loop invariant monotone: \forall integer i; 0 <= i < res - 1 ==> monotone_slice(a,cutpoints[i],cutpoints[i+1]); loop invariant res_bounds: 1 <= res <= y; loop invariant content_bounds: \forall integer i; 0 <= i < res ==> 0<= cutpoints[i] <= length; loop invariant cuts_increase: \forall integer i, j; 0 <= i <= j < res ==> cutpoints[i] <= cutpoints[j]; loop invariant last_write: cutpoints[res - 1] == x; loop assigns x,y,res,cutpoints[1 .. length]; loop variant length - y; */ while (y < length) { int increasing = a[x] < a[y]; /*@ loop invariant inner_bound: x + 1 <= y <= length; loop invariant res_low: res <= y; loop invariant mono_slice_1: increasing ==> \forall integer i, j; x <= i < j < y ==> a[i] < a[j]; loop invariant mono_slice_2: (!increasing) ==> \forall integer i, j; x <= i <= j < y ==> a[i] >= a[j]; loop assigns y; loop variant length - y; */ while (y < length && (a[y-1] < a[y]) == increasing) y++; /*@ assert mono: monotone_slice(a,x,y); */ cutpoints[res] = y; res++; /*@ assert mono_res: monotone_slice(a,cutpoints[res-2],cutpoints[res-1]);*/ x = y; if (y < length) y++; } if (x < length) { /*@ assert last: x == length - 1; */ /*@ assert mono_2: monotone_slice(a,x,length); */ cutpoints[res] = length; res++; /*@ assert mono_3: monotone_slice(a,cutpoints[res - 2], cutpoints[res - 1]); */ } return res; }
#include <stddef.h> /*@ predicate monotone_slice(int* a, size_t low, size_t up) = (\forall integer i,j; low <= i < j < up ==> a[i] < a[j]) || (\forall integer i,j; low <= i <= j < up ==> a[i] >= a[j]); */ /*@ requires length < 100; requires a_valid: \valid(a + (0 .. length - 1)); requires res_valid: \valid(cutpoints + (0 .. length)); requires sep: \separated(a + (0 .. length - 1), cutpoints + (0 .. length)); assigns cutpoints[0 .. length]; ensures pos: \result > 0; ensures beg: cutpoints[0] == 0; ensures end: cutpoints[\result - 1] == length; ensures bounds: \forall integer i; 0 <= i < \result ==> 0<= cutpoints[i] <= length; ensures monotonic: \forall integer i; 0 <= i < \result - 1 ==> monotone_slice(a,cutpoints[i],cutpoints[i+1]); */
frama_c_files_v2/test_frama_c_2509.c
/*@ requires \valid(a) && \valid(b); assigns *a, *b; ensures (*a) == \old(*b); ensures (*b) == \old(*a); */ void foo(int* a, int* b) { int tmp = *a; *a = *b; *b = tmp; }
/*@ requires \valid(a) && \valid(b); assigns *a, *b; ensures (*a) == \old(*b); ensures (*b) == \old(*a); */
void foo(int* a, int* b) { int tmp = *a; *a = *b; *b = tmp; }
true
10
10
void foo(int* a, int* b) { int tmp = *a; *a = *b; *b = tmp; }
/*@ requires \valid(a) && \valid(b); assigns *a, *b; ensures (*a) == \old(*b); ensures (*b) == \old(*a); */
frama_c_files_v2/test_frama_c_2563.c
/*@requires a>0 && a<2147483647; ensures\result>1;*/ int next(int a) {return a + 1;}
/*@requires a>0 && a<2147483647; ensures\result>1;*/
int next(int a) {return a + 1;}
true
4
4
int next(int a) {return a + 1;}
/*@requires a>0 && a<2147483647; ensures\result>1;*/
frama_c_files_v2/test_frama_c_2867.c
/*@ predicate swapped {L1, L2}(int* a, int* b) = \at(*a, L1) == \at(*b, L2) && \at(*b, L1) == \at(*a, L2); */ /*@ requires \valid(a); requires \valid(b); assigns *a; assigns *b; ensures *a == \old(*b); ensures *b == \old(*a); ensures swapped{Here, Old}(a,b); */ void swap (int* a, int* b ) { int c = *a; *a = *b; *b = c; }
/*@ predicate swapped {L1, L2}(int* a, int* b) = \at(*a, L1) == \at(*b, L2) && \at(*b, L1) == \at(*a, L2); */ /*@ requires \valid(a); requires \valid(b); assigns *a; assigns *b; ensures *a == \old(*b); ensures *b == \old(*a); ensures swapped{Here, Old}(a,b); */
void swap (int* a, int* b ) { int c = *a; *a = *b; *b = c; }
true
11
11
void swap (int* a, int* b ) { int c = *a; *a = *b; *b = c; }
/*@ predicate swapped {L1, L2}(int* a, int* b) = \at(*a, L1) == \at(*b, L2) && \at(*b, L1) == \at(*a, L2); */ /*@ requires \valid(a); requires \valid(b); assigns *a; assigns *b; ensures *a == \old(*b); ensures *b == \old(*a); ensures swapped{Here, Old}(a,b); */
frama_c_files_v2/test_frama_c_806.c
#include <stdio.h> /*@ requires \valid(a+(0..n-1)); requires n > 0; ensures \forall integer i,j; 0<=i<=j<=n-1 ==> a[i]<=a[j]; */ void bubbleSort(int *a, int n) { int i, j, temp; /*@ loop invariant \forall integer p,q; i<=p<=q<=n-1 ==> a[p]<=a[q]; loop invariant \forall integer p,q; 0<=p<i+1==q<=n-1 ==> a[p]<=a[q]; loop invariant 0<=i<n; loop assigns i,j,temp,a[0..n-1]; loop variant i; */ for(i=n-1; i>0; i--) { /*@ loop invariant 0<=j<=i<n; loop invariant \forall integer k; 0<=k<=j ==> a[k] <= a[j]; loop invariant \forall integer p, q; 0<=p<i+1==q<=n-1 ==> a[p]<=a[q]; loop assigns j,temp,a[0..i]; loop variant i-j; */ for(j=0; j<i; j++) { if (a[j] > a[j+1]) { temp = a[j]; a[j] = a[j+1]; a[j+1] = temp; } } } }
#include <stdio.h> /*@ requires \valid(a+(0..n-1)); requires n > 0; ensures \forall integer i,j; 0<=i<=j<=n-1 ==> a[i]<=a[j]; */
void bubbleSort(int *a, int n) { int i, j, temp; /*@ loop invariant \forall integer p,q; i<=p<=q<=n-1 ==> a[p]<=a[q]; loop invariant \forall integer p,q; 0<=p<i+1==q<=n-1 ==> a[p]<=a[q]; loop invariant 0<=i<n; loop assigns i,j,temp,a[0..n-1]; loop variant i; */ for(i=n-1; i>0; i--) { /*@ loop invariant 0<=j<=i<n; loop invariant \forall integer k; 0<=k<=j ==> a[k] <= a[j]; loop invariant \forall integer p, q; 0<=p<i+1==q<=n-1 ==> a[p]<=a[q]; loop assigns j,temp,a[0..i]; loop variant i-j; */ for(j=0; j<i; j++) { if (a[j] > a[j+1]) { temp = a[j]; a[j] = a[j+1]; a[j+1] = temp; } } } }
true
38
38
void bubbleSort(int *a, int n) { int i, j, temp; /*@ loop invariant \forall integer p,q; i<=p<=q<=n-1 ==> a[p]<=a[q]; loop invariant \forall integer p,q; 0<=p<i+1==q<=n-1 ==> a[p]<=a[q]; loop invariant 0<=i<n; loop assigns i,j,temp,a[0..n-1]; loop variant i; */ for(i=n-1; i>0; i--) { /*@ loop invariant 0<=j<=i<n; loop invariant \forall integer k; 0<=k<=j ==> a[k] <= a[j]; loop invariant \forall integer p, q; 0<=p<i+1==q<=n-1 ==> a[p]<=a[q]; loop assigns j,temp,a[0..i]; loop variant i-j; */ for(j=0; j<i; j++) { if (a[j] > a[j+1]) { temp = a[j]; a[j] = a[j+1]; a[j+1] = temp; } } } }
#include <stdio.h> /*@ requires \valid(a+(0..n-1)); requires n > 0; ensures \forall integer i,j; 0<=i<=j<=n-1 ==> a[i]<=a[j]; */
frama_c_files_v2/test_frama_c_2602.c
/*@ requires size >= 0; requires \valid(a+(0..size-1)); requires \valid(res+(0..size-1)); assigns res[0..size-1]; ensures \forall integer i; 0 <= i < size ==> res[i] == a[size - i - 1]; */ void reverse(int a[], int res[], int size) { int i; /*@ loop invariant -1 <= i < size; //Найдите ошибку loop invariant \forall integer j; i < j < size ==> res[j] == a[size - j - 1]; loop assigns i, res[0..size-1]; loop variant i; */ for(i = size - 1; i >= 0; --i) { res[i] = a[size - i - 1]; } } #ifdef OUT_OF_TASK #include <stdio.h> int main(void) { int a[] = {1,2,3,4,5,6,7,8,9,10}; int size = sizeof(a) / sizeof(a[0]); int b[size]; for(int i = 0; i < size; ++i) { printf("%d ", a[i]); } printf("\n"); reverse(a, b, size); for(int i = 0; i < size; ++i) { printf("%d ", b[i]); } printf("\n"); } #endif
#include <stdio.h> /*@ requires size >= 0; requires \valid(a+(0..size-1)); requires \valid(res+(0..size-1)); assigns res[0..size-1]; ensures \forall integer i; 0 <= i < size ==> res[i] == a[size - i - 1]; */
void reverse(int a[], int res[], int size) { int i; /*@ loop invariant -1 <= i < size; //Найдите ошибку loop invariant \forall integer j; i < j < size ==> res[j] == a[size - j - 1]; loop assigns i, res[0..size-1]; loop variant i; */ for(i = size - 1; i >= 0; --i) { res[i] = a[size - i - 1]; } }
true
20
20
void reverse(int a[], int res[], int size) { int i; /*@ loop invariant -1 <= i < size; //Найдите ошибку loop invariant \forall integer j; i < j < size ==> res[j] == a[size - j - 1]; loop assigns i, res[0..size-1]; loop variant i; */ for(i = size - 1; i >= 0; --i) { res[i] = a[size - i - 1]; } }
#include <stdio.h> /*@ requires size >= 0; requires \valid(a+(0..size-1)); requires \valid(res+(0..size-1)); assigns res[0..size-1]; ensures \forall integer i; 0 <= i < size ==> res[i] == a[size - i - 1]; */
frama_c_files_v2/test_frama_c_2252.c
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = @ \at(a[i],L1) == \at(a[j],L2) && @ \at(a[j],L1) == \at(a[i],L2) ; @*/ /*@ inductive Permuta{L1,L2}(int *a, integer l, integer h) { @ case Permut_refl{L}: @ \forall int *a, integer l, h; Permuta{L,L}(a, l, h) ; @ case Permut_sym{L1,L2}: @ \forall int *a, integer l, h; @ Permuta{L1,L2}(a, l, h) ==> Permuta{L2,L1}(a, l, h) ; @ case Permut_trans{L1,L2,L3}: @ \forall int *a, integer l, h; @ Permuta{L1,L2}(a, l, h) && Permuta{L2,L3}(a, l, h) ==> @ Permuta{L1,L3}(a, l, h) ; @ case Permut_swap{L1,L2}: @ \forall int *a, integer l, h, i, j; @ l <= i <= h && l <= j <= h && Swap{L1,L2}(a, i, j) ==> @ Permuta{L1,L2}(a, l, h) ; @ } @*/ /*@ requires \valid(t+(start..end)) && start <= i <= end && start <= j <= end; @ ensures Swap{Old,Here}(t,i,j); @ assigns t[i],t[j]; @*/ void swap(int t[],int i,int j, int start, int end) { int tmp = t[i]; t[i] = t[j]; t[j] = tmp; } /*@ requires 0 <= p <= r && \valid(A+(p..r)); @ assigns A[p..r]; @ behavior partition: @ ensures @ p <= \result <= r && @ (\forall int l; p <= l < \result ==> A[l] <= A[\result]) && @ (\forall int l; \result < l <= r ==> A[l] > A[\result]) && @ A[\result] == \old(A[r]) ; @ behavior permutation: @ ensures @ Permuta{Old,Here}(A,p,r); @*/ int partition (int A[], int p, int r) { int x = A[r]; int j, i = p-1; /*@ loop invariant @ p <= j <= r && p-1 <= i < j; @ loop assigns i, j, A[p..r-1]; @ for partition: @ loop invariant @ (\forall int k; (p <= k <= i) ==> A[k] <= x) && @ (\forall int k; (i < k < j) ==> A[k] > x) && @ A[r] == x; @ for permutation: @ loop invariant @ Permuta{Pre,Here}(A,p,r); @ loop variant (r-j); @*/ for (j=p; j<r; j++) if (A[j] <= x) { i++; swap(A,i,j,p,r); } swap(A,i+1,r,p,r); return i+1; }
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = @ \at(a[i],L1) == \at(a[j],L2) && @ \at(a[j],L1) == \at(a[i],L2) ; @*/ /*@ inductive Permuta{L1,L2}(int *a, integer l, integer h) { @ case Permut_refl{L}: @ \forall int *a, integer l, h; Permuta{L,L}(a, l, h) ; @ case Permut_sym{L1,L2}: @ \forall int *a, integer l, h; @ Permuta{L1,L2}(a, l, h) ==> Permuta{L2,L1}(a, l, h) ; @ case Permut_trans{L1,L2,L3}: @ \forall int *a, integer l, h; @ Permuta{L1,L2}(a, l, h) && Permuta{L2,L3}(a, l, h) ==> @ Permuta{L1,L3}(a, l, h) ; @ case Permut_swap{L1,L2}: @ \forall int *a, integer l, h, i, j; @ l <= i <= h && l <= j <= h && Swap{L1,L2}(a, i, j) ==> @ Permuta{L1,L2}(a, l, h) ; @ } @*/ /*@ requires \valid(t+(start..end)) && start <= i <= end && start <= j <= end; @ ensures Swap{Old,Here}(t,i,j); @ assigns t[i],t[j]; @*/
void swap(int t[],int i,int j, int start, int end) { int tmp = t[i]; t[i] = t[j]; t[j] = tmp; }
true
9
9
void swap(int t[],int i,int j, int start, int end) { int tmp = t[i]; t[i] = t[j]; t[j] = tmp; }
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = @ \at(a[i],L1) == \at(a[j],L2) && @ \at(a[j],L1) == \at(a[i],L2) ; @*/ /*@ inductive Permuta{L1,L2}(int *a, integer l, integer h) { @ case Permut_refl{L}: @ \forall int *a, integer l, h; Permuta{L,L}(a, l, h) ; @ case Permut_sym{L1,L2}: @ \forall int *a, integer l, h; @ Permuta{L1,L2}(a, l, h) ==> Permuta{L2,L1}(a, l, h) ; @ case Permut_trans{L1,L2,L3}: @ \forall int *a, integer l, h; @ Permuta{L1,L2}(a, l, h) && Permuta{L2,L3}(a, l, h) ==> @ Permuta{L1,L3}(a, l, h) ; @ case Permut_swap{L1,L2}: @ \forall int *a, integer l, h, i, j; @ l <= i <= h && l <= j <= h && Swap{L1,L2}(a, i, j) ==> @ Permuta{L1,L2}(a, l, h) ; @ } @*/ /*@ requires \valid(t+(start..end)) && start <= i <= end && start <= j <= end; @ ensures Swap{Old,Here}(t,i,j); @ assigns t[i],t[j]; @*/
frama_c_files_v2/test_frama_c_2446.c
/*@ requires \valid(&a[i]); requires \valid(&a[j]); assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ void swap(int a[], int i, int j) #ifndef OUT_OF_TASK ; #else { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; } #endif /*@ predicate reverse{L1,L2}(int* a, integer size, integer i, integer j) = \forall integer k; i <= k < j ==> \at(a[k], L1) == \at(a[size - k - 1], L2); predicate reverse{L1,L2}(int* a, integer size) = reverse{L1,L2}(a, size, 0, size); */ /*@ requires size >= 0; requires \valid(a+(0..size-1)); assigns a[0..size-1]; ensures reverse{Pre,Here}(a, size); ensures \forall integer i; 0 <= i < size ==> \exists integer j; 0 <= j < size && \old(a[\at(i,Here)]) == a[j]; */ void reverse_in_place(int a[], int size) { int i; /*@ loop invariant 0 <= i <= size / 2; loop invariant reverse{Pre,Here}(a, size, 0, i); loop invariant \forall integer j; i <= j < size - i ==> a[j] == \at(a[\at(j,Here)],Pre); loop invariant reverse{Pre,Here}(a, size, size - i, size); loop assigns i, a[0..size-1]; loop variant size / 2 - i; */ for(i = 0; i < (size / 2); ++i) { swap(a, i, size - i - 1); } } #ifdef OUT_OF_TASK #include <stdio.h> int main(void) { int a[] = {1,2,3,4,5,6,7,8,9,10}; int size = sizeof(a) / sizeof(a[0]); for(int i = 0; i < size; ++i) { printf("%d ", a[i]); } printf("\n"); reverse_in_place(a, size); for(int i = 0; i < size; ++i) { printf("%d ", a[i]); } printf("\n"); } #endif
#include <stdio.h> /*@ requires \valid(&a[i]); requires \valid(&a[j]); assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ void swap(int a[], int i, int j) #ifndef OUT_OF_TASK ; #else { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; } #endif /*@ predicate reverse{L1,L2}(int* a, integer size, integer i, integer j) = \forall integer k; i <= k < j ==> \at(a[k], L1) == \at(a[size - k - 1], L2); predicate reverse{L1,L2}(int* a, integer size) = reverse{L1,L2}(a, size, 0, size); */ /*@ requires size >= 0; requires \valid(a+(0..size-1)); assigns a[0..size-1]; ensures reverse{Pre,Here}(a, size); ensures \forall integer i; 0 <= i < size ==> \exists integer j; 0 <= j < size && \old(a[\at(i,Here)]) == a[j]; */
void reverse_in_place(int a[], int size) { int i; /*@ loop invariant 0 <= i <= size / 2; loop invariant reverse{Pre,Here}(a, size, 0, i); loop invariant \forall integer j; i <= j < size - i ==> a[j] == \at(a[\at(j,Here)],Pre); loop invariant reverse{Pre,Here}(a, size, size - i, size); loop assigns i, a[0..size-1]; loop variant size / 2 - i; */ for(i = 0; i < (size / 2); ++i) { swap(a, i, size - i - 1); } }
true
28
28
void reverse_in_place(int a[], int size) { int i; /*@ loop invariant 0 <= i <= size / 2; loop invariant reverse{Pre,Here}(a, size, 0, i); loop invariant \forall integer j; i <= j < size - i ==> a[j] == \at(a[\at(j,Here)],Pre); loop invariant reverse{Pre,Here}(a, size, size - i, size); loop assigns i, a[0..size-1]; loop variant size / 2 - i; */ for(i = 0; i < (size / 2); ++i) { swap(a, i, size - i - 1); } }
#include <stdio.h> /*@ requires \valid(&a[i]); requires \valid(&a[j]); assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ void swap(int a[], int i, int j) #ifndef OUT_OF_TASK ; #else { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; } #endif /*@ predicate reverse{L1,L2}(int* a, integer size, integer i, integer j) = \forall integer k; i <= k < j ==> \at(a[k], L1) == \at(a[size - k - 1], L2); predicate reverse{L1,L2}(int* a, integer size) = reverse{L1,L2}(a, size, 0, size); */ /*@ requires size >= 0; requires \valid(a+(0..size-1)); assigns a[0..size-1]; ensures reverse{Pre,Here}(a, size); ensures \forall integer i; 0 <= i < size ==> \exists integer j; 0 <= j < size && \old(a[\at(i,Here)]) == a[j]; */
frama_c_files_v2/test_frama_c_502.c
/*@ requires n>0; behavior one: assumes n>0; ensures \result == n; behavior two: assumes n<0; ensures \result == (-1)*n; complete behaviors; disjoint behaviors; */ int ABS(int n) { if (n < 0) { n = (-1) * n; } return n; }
/*@ requires n>0; behavior one: assumes n>0; ensures \result == n; behavior two: assumes n<0; ensures \result == (-1)*n; complete behaviors; disjoint behaviors; */
int ABS(int n) { if (n < 0) { n = (-1) * n; } return n; }
true
8
8
int ABS(int n) { if (n < 0) { n = (-1) * n; } return n; }
/*@ requires n>0; behavior one: assumes n>0; ensures \result == n; behavior two: assumes n<0; ensures \result == (-1)*n; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_1352.c
/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ predicate swap{L1,L2}(int* a,integer i,integer j,integer length)= 0<=i<j<length && \at(a[i],L1) == \at(a[j],L2) && \at(a[i],L2) == \at(a[j],L1) && \forall integer k; 0<=k<length && k!=i && k!=j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive same_elements{L1,L2}(int*a , integer length) { case refl{L}: \forall int*a, integer length; same_elements{L,L}(a,length); case swap{L1,L2}: \forall int*a, integer i,j,length; swap{L1,L2}(a,i,j,length) ==> same_elements{L1,L2}(a,length); case trans{L1,L2,L3}: \forall int*a, integer length; same_elements{L1,L2}(a,length) ==> same_elements{L2,L3}(a,length) ==> same_elements{L1,L3}(a,length); } */ /*@ requires valid_array: \valid(a+(0..length-1)); requires non_empty: length > 0; assigns a[0..length-1]; behavior sorted: ensures sorted(a,length); behavior same_elements: ensures same_elements{Pre,Here}(a,length); */ void sort (int* a, int length) { int current; /*@ loop invariant outer_bounds: 0<=current<length; loop assigns a[0..length-1],current; for sorted: loop invariant begin_sort: sorted(a,current); for sorted: loop invariant tail_bigger: \forall integer i,j; 0<=i<current<=j<length ==> a[i] <= a[j]; for same_elements: loop invariant same_elements{Pre,Here}(a,length); loop variant length-current; */ for (current = 0; current < length - 1; current++) { int min_idx = current; int min = a[current]; /*@ loop invariant inner_bounds: current+1<=i<=length; loop assigns i,min,min_idx; loop invariant min_idx_bounds: current<=min_idx<i; loop invariant min_idx_val: a[min_idx] == min; for sorted: loop invariant min_idx_min: \forall integer j; current<=j<i ==> min <= a[j]; loop variant length -i; */ for (int i = current + 1; i < length; i++) { if (a[i] < min) { min = a[i]; min_idx = i; } } if(min_idx != current) { L: a[min_idx]=a[current]; a[current]=min; /*@ for same_elements: assert swap: swap{L,Here}(a,current,min_idx,length); */ } } }
/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ predicate swap{L1,L2}(int* a,integer i,integer j,integer length)= 0<=i<j<length && \at(a[i],L1) == \at(a[j],L2) && \at(a[i],L2) == \at(a[j],L1) && \forall integer k; 0<=k<length && k!=i && k!=j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive same_elements{L1,L2}(int*a , integer length) { case refl{L}: \forall int*a, integer length; same_elements{L,L}(a,length); case swap{L1,L2}: \forall int*a, integer i,j,length; swap{L1,L2}(a,i,j,length) ==> same_elements{L1,L2}(a,length); case trans{L1,L2,L3}: \forall int*a, integer length; same_elements{L1,L2}(a,length) ==> same_elements{L2,L3}(a,length) ==> same_elements{L1,L3}(a,length); } */ /*@ requires valid_array: \valid(a+(0..length-1)); requires non_empty: length > 0; assigns a[0..length-1]; behavior sorted: ensures sorted(a,length); behavior same_elements: ensures same_elements{Pre,Here}(a,length); */
void sort (int* a, int length) { int current; /*@ loop invariant outer_bounds: 0<=current<length; loop assigns a[0..length-1],current; for sorted: loop invariant begin_sort: sorted(a,current); for sorted: loop invariant tail_bigger: \forall integer i,j; 0<=i<current<=j<length ==> a[i] <= a[j]; for same_elements: loop invariant same_elements{Pre,Here}(a,length); loop variant length-current; */ for (current = 0; current < length - 1; current++) { int min_idx = current; int min = a[current]; /*@ loop invariant inner_bounds: current+1<=i<=length; loop assigns i,min,min_idx; loop invariant min_idx_bounds: current<=min_idx<i; loop invariant min_idx_val: a[min_idx] == min; for sorted: loop invariant min_idx_min: \forall integer j; current<=j<i ==> min <= a[j]; loop variant length -i; */ for (int i = current + 1; i < length; i++) { if (a[i] < min) { min = a[i]; min_idx = i; } } if(min_idx != current) { L: a[min_idx]=a[current]; a[current]=min; /*@ for same_elements: assert swap: swap{L,Here}(a,current,min_idx,length); */ } } }
true
43
43
void sort (int* a, int length) { int current; /*@ loop invariant outer_bounds: 0<=current<length; loop assigns a[0..length-1],current; for sorted: loop invariant begin_sort: sorted(a,current); for sorted: loop invariant tail_bigger: \forall integer i,j; 0<=i<current<=j<length ==> a[i] <= a[j]; for same_elements: loop invariant same_elements{Pre,Here}(a,length); loop variant length-current; */ for (current = 0; current < length - 1; current++) { int min_idx = current; int min = a[current]; /*@ loop invariant inner_bounds: current+1<=i<=length; loop assigns i,min,min_idx; loop invariant min_idx_bounds: current<=min_idx<i; loop invariant min_idx_val: a[min_idx] == min; for sorted: loop invariant min_idx_min: \forall integer j; current<=j<i ==> min <= a[j]; loop variant length -i; */ for (int i = current + 1; i < length; i++) { if (a[i] < min) { min = a[i]; min_idx = i; } } if(min_idx != current) { L: a[min_idx]=a[current]; a[current]=min; /*@ for same_elements: assert swap: swap{L,Here}(a,current,min_idx,length); */ } } }
/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ predicate swap{L1,L2}(int* a,integer i,integer j,integer length)= 0<=i<j<length && \at(a[i],L1) == \at(a[j],L2) && \at(a[i],L2) == \at(a[j],L1) && \forall integer k; 0<=k<length && k!=i && k!=j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive same_elements{L1,L2}(int*a , integer length) { case refl{L}: \forall int*a, integer length; same_elements{L,L}(a,length); case swap{L1,L2}: \forall int*a, integer i,j,length; swap{L1,L2}(a,i,j,length) ==> same_elements{L1,L2}(a,length); case trans{L1,L2,L3}: \forall int*a, integer length; same_elements{L1,L2}(a,length) ==> same_elements{L2,L3}(a,length) ==> same_elements{L1,L3}(a,length); } */ /*@ requires valid_array: \valid(a+(0..length-1)); requires non_empty: length > 0; assigns a[0..length-1]; behavior sorted: ensures sorted(a,length); behavior same_elements: ensures same_elements{Pre,Here}(a,length); */
frama_c_files_v2/test_frama_c_16.c
#include <limits.h> /*@ requires INT_MIN<x && INT_MIN<y; ensures \result>=x && \result>=y; ensures \result==x || \result==y; */ int max ( int x, int y ) { if ( x >=y ) return x ; return y ; } void foo() { int s = max(34,45); int t = max(-43,34); }
#include <limits.h> /*@ requires INT_MIN<x && INT_MIN<y; ensures \result>=x && \result>=y; ensures \result==x || \result==y; */
int max ( int x, int y ) { if ( x >=y ) return x ; return y ; }
true
4
4
int max ( int x, int y ) { if ( x >=y ) return x ; return y ; }
#include <limits.h> /*@ requires INT_MIN<x && INT_MIN<y; ensures \result>=x && \result>=y; ensures \result==x || \result==y; */
frama_c_files_v2/test_frama_c_2206.c
/*@ requires \valid(&a[i]); requires \valid(&a[j]); assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ void swap(int a[], int i, int j); /*@ predicate reverse{L1,L2}(int* a, integer size, integer i, integer j) = \forall integer k; i <= k < j ==> \at(a[k], L1) == \at(a[size - k - 1], L2); predicate reverse{L1,L2}(int* a, integer size) = reverse{L1,L2}(a, size, 0, size); */ /*@ requires size >= 0; requires \valid(a+(0..size-1)); assigns a[0..size-1]; ensures reverse{Pre,Here}(a, size); ensures \forall integer i; 0 <= i < size ==> \exists integer j; 0 <= j < size && \old(a[\at(i,Here)]) == a[j]; */ void reverse_in_place(int a[], int size) { int i; /*@ loop invariant 0 <= i <= size / 2; loop invariant reverse{Pre,Here}(a, size, 0, i); loop invariant \forall integer j; i <= j < size - i ==> a[j] == \at(a[\at(j,Here)],Pre); loop invariant reverse{Pre,Here}(a, size, size - i, size); loop assigns i, a[0..size-1]; loop variant size / 2 - i; */ for(i = 0; i < (size / 2); ++i) { swap(a, i, size - i - 1); } }
/*@ requires \valid(&a[i]); requires \valid(&a[j]); assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ void swap(int a[], int i, int j); /*@ predicate reverse{L1,L2}(int* a, integer size, integer i, integer j) = \forall integer k; i <= k < j ==> \at(a[k], L1) == \at(a[size - k - 1], L2); predicate reverse{L1,L2}(int* a, integer size) = reverse{L1,L2}(a, size, 0, size); */ /*@ requires size >= 0; requires \valid(a+(0..size-1)); assigns a[0..size-1]; ensures reverse{Pre,Here}(a, size); ensures \forall integer i; 0 <= i < size ==> \exists integer j; 0 <= j < size && \old(a[\at(i,Here)]) == a[j]; */
void reverse_in_place(int a[], int size) { int i; /*@ loop invariant 0 <= i <= size / 2; loop invariant reverse{Pre,Here}(a, size, 0, i); loop invariant \forall integer j; i <= j < size - i ==> a[j] == \at(a[\at(j,Here)],Pre); loop invariant reverse{Pre,Here}(a, size, size - i, size); loop assigns i, a[0..size-1]; loop variant size / 2 - i; */ for(i = 0; i < (size / 2); ++i) { swap(a, i, size - i - 1); } }
true
28
28
void reverse_in_place(int a[], int size) { int i; /*@ loop invariant 0 <= i <= size / 2; loop invariant reverse{Pre,Here}(a, size, 0, i); loop invariant \forall integer j; i <= j < size - i ==> a[j] == \at(a[\at(j,Here)],Pre); loop invariant reverse{Pre,Here}(a, size, size - i, size); loop assigns i, a[0..size-1]; loop variant size / 2 - i; */ for(i = 0; i < (size / 2); ++i) { swap(a, i, size - i - 1); } }
/*@ requires \valid(&a[i]); requires \valid(&a[j]); assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ void swap(int a[], int i, int j); /*@ predicate reverse{L1,L2}(int* a, integer size, integer i, integer j) = \forall integer k; i <= k < j ==> \at(a[k], L1) == \at(a[size - k - 1], L2); predicate reverse{L1,L2}(int* a, integer size) = reverse{L1,L2}(a, size, 0, size); */ /*@ requires size >= 0; requires \valid(a+(0..size-1)); assigns a[0..size-1]; ensures reverse{Pre,Here}(a, size); ensures \forall integer i; 0 <= i < size ==> \exists integer j; 0 <= j < size && \old(a[\at(i,Here)]) == a[j]; */
frama_c_files_v2/test_frama_c_857.c
#include <limits.h> /*@ requires x < INT_MAX; ensures \result > x; */ int inc (int x) { return x+1; }
#include <limits.h> /*@ requires x < INT_MAX; ensures \result > x; */
int inc (int x) { return x+1; }
true
4
4
int inc (int x) { return x+1; }
#include <limits.h> /*@ requires x < INT_MAX; ensures \result > x; */
frama_c_files_v2/test_frama_c_606.c
#include <limits.h> #include <string.h> /*@ predicate star_A(char * x93, integer x94, integer x95) = ((x94==x95) || (\exists integer x98; (((x94<x98) && (x98<=x95)) ==> ((('A'==x93[x94]) && (x98==(x94+1))) && star_A(x93,x98,x95)))));*/ /*@ predicate star_D(char * x114, integer x115, integer x116) = ((x115==x116) || (\exists integer x119; (((x115<x119) && (x119<=x116)) ==> ((('D'==x114[x115]) && (x119==(x115+1))) && star_D(x114,x119,x116)))));*/ /*@ predicate star_C(char * x135, integer x136, integer x137) = ((x136==x137) || (\exists integer x140; (((x136<x140) && (x140<=x137)) ==> ((('C'==x135[x136]) && (x140==(x136+1))) && star_C(x135,x140,x137)))));*/ /*@ predicate star__orB_or_C_sCs_Bor_(char * x156, integer x157, integer x158) = ((x157==x158) || (\exists integer x161; (((x157<x161) && (x161<=x158)) ==> (((('B'==x156[x157]) && (x161==(x157+1))) || (\exists integer x170; ((((x157<=x170) && (x170<=x161)) && (('C'==x156[x157]) && (x170==(x157+1)))) && (\exists integer x178; ((((x170<=x178) && (x178<=x161)) && star_C(x156,x170,x178)) && (('B'==x156[x178]) && (x161==(x178+1)))))))) && star__orB_or_C_sCs_Bor_(x156,x161,x158)))));*/ /*@ predicate re_0(char * x0, integer x1, integer x2) = (\exists integer x4; ((((x1<=x4) && (x4<=x2)) && (('A'==x0[x1]) && (x4==(x1+1)))) && (\exists integer x14; ((((x4<=x14) && (x14<=x2)) && star_A(x0,x4,x14)) && (\exists integer x21; ((((x14<=x21) && (x21<=x2)) && (('B'==x0[x14]) && (x21==(x14+1)))) && (\exists integer x31; ((((x21<=x31) && (x31<=x2)) && star__orB_or_C_sCs_Bor_(x0,x21,x31)) && (\exists integer x38; ((((x31<=x38) && (x38<=x2)) && (('C'==x0[x31]) && (x38==(x31+1)))) && (\exists integer x48; ((((x38<=x48) && (x48<=x2)) && star_C(x0,x38,x48)) && (\exists integer x55; ((((x48<=x55) && (x55<=x2)) && (('D'==x0[x48]) && (x55==(x48+1)))) && (\exists integer x65; ((((x55<=x65) && (x65<=x2)) && star_D(x0,x55,x65)) && (x65==x2)))))))))))))))));*/ /*@ predicate re_1(char * x201, integer x202, integer x203) = (\exists integer x205; ((((x202<=x205) && (x205<=x203)) && star_A(x201,x202,x205)) && (\exists integer x211; ((((x205<=x211) && (x211<=x203)) && (('B'==x201[x205]) && (x211==(x205+1)))) && (\exists integer x221; ((((x211<=x221) && (x221<=x203)) && star__orB_or_C_sCs_Bor_(x201,x211,x221)) && (\exists integer x227; ((((x221<=x227) && (x227<=x203)) && (('C'==x201[x221]) && (x227==(x221+1)))) && (\exists integer x237; ((((x227<=x237) && (x237<=x203)) && star_C(x201,x227,x237)) && (\exists integer x243; ((((x237<=x243) && (x243<=x203)) && (('D'==x201[x237]) && (x243==(x237+1)))) && (\exists integer x253; ((((x243<=x253) && (x253<=x203)) && star_D(x201,x243,x253)) && (x253==x203)))))))))))))));*/ /*@ predicate re_2(char * x274, integer x275, integer x276) = (\exists integer x278; ((((x275<=x278) && (x278<=x276)) && star__orB_or_C_sCs_Bor_(x274,x275,x278)) && (\exists integer x284; ((((x278<=x284) && (x284<=x276)) && (('C'==x274[x278]) && (x284==(x278+1)))) && (\exists integer x294; ((((x284<=x294) && (x294<=x276)) && star_C(x274,x284,x294)) && (\exists integer x300; ((((x294<=x300) && (x300<=x276)) && (('D'==x274[x294]) && (x300==(x294+1)))) && (\exists integer x310; ((((x300<=x310) && (x310<=x276)) && star_D(x274,x300,x310)) && (x310==x276)))))))))));*/ /*@ predicate re_3(char * x327, integer x328, integer x329) = (\exists integer x331; ((((x328<=x331) && (x331<=x329)) && star_C(x327,x328,x331)) && (\exists integer x337; ((((x331<=x337) && (x337<=x329)) && (('D'==x327[x331]) && (x337==(x331+1)))) && (\exists integer x347; ((((x337<=x347) && (x347<=x329)) && star_D(x327,x337,x347)) && (x347==x329)))))));*/ /*@ predicate re_4(char * x360, integer x361, integer x362) = (\exists integer x364; ((((x361<=x364) && (x364<=x362)) && star_D(x360,x361,x364)) && (x364==x362)));*/ /*@ predicate re_bwd_0(char * x373, integer x374, integer x375) = (x374==x375);*/ /*@ predicate re_bwd_1(char * x378, integer x379, integer x380) = (\exists integer x382; ((((x379<=x382) && (x382<=x380)) && (('A'==x378[x379]) && (x382==(x379+1)))) && (\exists integer x392; ((((x382<=x392) && (x392<=x380)) && star_A(x378,x382,x392)) && (x392==x380)))));*/ /*@ predicate re_bwd_2(char * x403, integer x404, integer x405) = (\exists integer x407; ((((x404<=x407) && (x407<=x405)) && (('A'==x403[x404]) && (x407==(x404+1)))) && (\exists integer x417; ((((x407<=x417) && (x417<=x405)) && star_A(x403,x407,x417)) && (\exists integer x423; ((((x417<=x423) && (x423<=x405)) && (('B'==x403[x417]) && (x423==(x417+1)))) && (\exists integer x433; ((((x423<=x433) && (x433<=x405)) && star__orB_or_C_sCs_Bor_(x403,x423,x433)) && (x433==x405)))))))));*/ /*@ predicate re_bwd_3(char * x448, integer x449, integer x450) = (\exists integer x452; ((((x449<=x452) && (x452<=x450)) && (('A'==x448[x449]) && (x452==(x449+1)))) && (\exists integer x462; ((((x452<=x462) && (x462<=x450)) && star_A(x448,x452,x462)) && (\exists integer x468; ((((x462<=x468) && (x468<=x450)) && (('B'==x448[x462]) && (x468==(x462+1)))) && (\exists integer x478; ((((x468<=x478) && (x478<=x450)) && star__orB_or_C_sCs_Bor_(x448,x468,x478)) && (\exists integer x484; ((((x478<=x484) && (x484<=x450)) && (('C'==x448[x478]) && (x484==(x478+1)))) && (\exists integer x494; ((((x484<=x494) && (x494<=x450)) && star_C(x448,x484,x494)) && (x494==x450)))))))))))));*/ /*@ predicate re_bwd_4(char * x513, integer x514, integer x515) = (\exists integer x517; ((((x514<=x517) && (x517<=x515)) && (('A'==x513[x514]) && (x517==(x514+1)))) && (\exists integer x527; ((((x517<=x527) && (x527<=x515)) && star_A(x513,x517,x527)) && (\exists integer x533; ((((x527<=x533) && (x533<=x515)) && (('B'==x513[x527]) && (x533==(x527+1)))) && (\exists integer x543; ((((x533<=x543) && (x543<=x515)) && star__orB_or_C_sCs_Bor_(x513,x533,x543)) && (\exists integer x549; ((((x543<=x549) && (x549<=x515)) && (('C'==x513[x543]) && (x549==(x543+1)))) && (\exists integer x559; ((((x549<=x559) && (x559<=x515)) && star_C(x513,x549,x559)) && (\exists integer x565; ((((x559<=x565) && (x565<=x515)) && (('D'==x513[x559]) && (x565==(x559+1)))) && (\exists integer x575; ((((x565<=x575) && (x575<=x515)) && star_D(x513,x565,x575)) && (x575==x515)))))))))))))))));*/ /*@ predicate star_starting_D(char * x719, integer x720, integer x721) = ((((x720==x721) || (('D'==x719[x720]) && (x721>=(x720+1)))) || (\exists integer x730; (((x720<x730) && (x730<=x721)) ==> ((('D'==x719[x720]) && (x730==(x720+1))) && star_starting_D(x719,x730,x721))))) || (x721>=x720));*/ /*@ predicate star_starting_A(char * x745, integer x746, integer x747) = ((((x746==x747) || (('A'==x745[x746]) && (x747>=(x746+1)))) || (\exists integer x756; (((x746<x756) && (x756<=x747)) ==> ((('A'==x745[x746]) && (x756==(x746+1))) && star_starting_A(x745,x756,x747))))) || (x747>=x746));*/ /*@ predicate star_starting_C(char * x771, integer x772, integer x773) = ((((x772==x773) || (('C'==x771[x772]) && (x773>=(x772+1)))) || (\exists integer x782; (((x772<x782) && (x782<=x773)) ==> ((('C'==x771[x772]) && (x782==(x772+1))) && star_starting_C(x771,x782,x773))))) || (x773>=x772));*/ /*@ predicate star_starting__orB_or_C_sCs_Bor_(char * x797, integer x798, integer x799) = (((((x798==x799) || (('B'==x797[x798]) && (x799>=(x798+1)))) || (((x798==x799) || (('C'==x797[x798]) && (x799>=(x798+1)))) || (\exists integer x811; ((((x798<=x811) && (x811<=x799)) && (('C'==x797[x798]) && (x811==(x798+1)))) && (star_starting_C(x797,x811,x799) || (\exists integer x819; ((((x811<=x819) && (x819<=x799)) && star_C(x797,x811,x819)) && ((x819==x799) || (('B'==x797[x819]) && (x799>=(x819+1))))))))))) || (\exists integer x839; (((x798<x839) && (x839<=x799)) ==> (((('B'==x797[x798]) && (x839==(x798+1))) || (\exists integer x845; ((((x798<=x845) && (x845<=x839)) && (('C'==x797[x798]) && (x845==(x798+1)))) && (\exists integer x852; ((((x845<=x852) && (x852<=x839)) && star_C(x797,x845,x852)) && (('B'==x797[x852]) && (x839==(x852+1)))))))) && star_starting__orB_or_C_sCs_Bor_(x797,x839,x799))))) || (x799>=x798));*/ /*@ predicate re0(char * x598, integer x599, integer x600) = (((x599==x600) || (('A'==x598[x599]) && (x600>=(x599+1)))) || (\exists integer x609; ((((x599<=x609) && (x609<=x600)) && (('A'==x598[x599]) && (x609==(x599+1)))) && (star_starting_A(x598,x609,x600) || (\exists integer x617; ((((x609<=x617) && (x617<=x600)) && star_A(x598,x609,x617)) && (((x617==x600) || (('B'==x598[x617]) && (x600>=(x617+1)))) || (\exists integer x630; ((((x617<=x630) && (x630<=x600)) && (('B'==x598[x617]) && (x630==(x617+1)))) && (star_starting__orB_or_C_sCs_Bor_(x598,x630,x600) || (\exists integer x638; ((((x630<=x638) && (x638<=x600)) && star__orB_or_C_sCs_Bor_(x598,x630,x638)) && (((x638==x600) || (('C'==x598[x638]) && (x600>=(x638+1)))) || (\exists integer x651; ((((x638<=x651) && (x651<=x600)) && (('C'==x598[x638]) && (x651==(x638+1)))) && (star_starting_C(x598,x651,x600) || (\exists integer x659; ((((x651<=x659) && (x659<=x600)) && star_C(x598,x651,x659)) && (((x659==x600) || (('D'==x598[x659]) && (x600>=(x659+1)))) || (\exists integer x672; ((((x659<=x672) && (x672<=x600)) && (('D'==x598[x659]) && (x672==(x659+1)))) && (star_starting_D(x598,x672,x600) || (\exists integer x680; ((((x672<=x680) && (x680<=x600)) && star_D(x598,x672,x680)) && (x600>=x680)))))))))))))))))))))))));*/ /*@ requires (((strlen(x877)>=0) && \valid(x877+(0..strlen(x877)))) && (strlen(x877)<=INT_MAX)); assigns \nothing; ensures (\result ==> re_0(x877,0,strlen(x877))); */ int dfa(char * x877) { int x879 = 1/*true*/; int x880 = 0; //@ ghost int x881 = 0; char *x882 = x877; /*@ loop invariant (((((((((strlen(x877)>=0) && \valid(x877+(0..strlen(x877)))) && ((0<=x881) && (x881<=strlen(x877)))) && (x882==(x877+x881))) && ((strlen((x877+x881))>=0) && \valid((x877+x881)+(0..strlen((x877+x881)))))) && (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))))) && (x879 ==> re0(x877,0,x881))) && ((x880==4) ==> (re_bwd_4(x877,0,x881) ==> re_0(x877,0,x881)))) && ((x880==4) || ((x880==3) || ((x880==2) || ((x880==1) || (x880==0)))))); loop assigns x882, x881, x880, x879; loop variant strlen(x882); */ for (;;) { char *x884 = x882; char x885 = x884[0]; int x886 = x885 == '\0'; int x890; if (x886) { x890 = 0/*false*/; } else { int x888 = x879; x890 = x888; } if (!x890) break; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))));*/ /*@assert (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881))))));*/ char *x942 = x882; int x944 = x880; int x945 = x944 == 4; int x1160; if (x945) { char x943 = x942[0]; int x946 = 'D' == x943; int x967; if (x946) { /*@assert re_bwd_4(x877,0,(x881+1));*/ x880 = 4; /*@assert re_bwd_4(x877,0,(x881+1));*/ /*@assert ((x880==4) ==> re_bwd_4(x877,0,(x881+1)));*/ x967 = 1/*true*/; } else { x967 = 0/*false*/; } x1160 = x967; } else { int x969 = x944 == 3; int x1158; if (x969) { char x943 = x942[0]; int x946 = 'D' == x943; int x1036; if (x946) { /*@assert re_bwd_4(x877,0,(x881+1));*/ x880 = 4; /*@assert re_bwd_4(x877,0,(x881+1));*/ /*@assert ((x880==4) ==> re_bwd_4(x877,0,(x881+1)));*/ x1036 = 1/*true*/; } else { int x990 = 'C' == x943; int x1034; if (x990) { /*@assert re_bwd_3(x877,0,(x881+1));*/ x880 = 3; /*@assert re_bwd_3(x877,0,(x881+1));*/ /*@assert ((x880==3) ==> re_bwd_3(x877,0,(x881+1)));*/ x1034 = 1/*true*/; } else { int x1011 = 'B' == x943; int x1032; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1032 = 1/*true*/; } else { x1032 = 0/*false*/; } x1034 = x1032; } x1036 = x1034; } x1158 = x1036; } else { int x1038 = x944 == 2; int x1156; if (x1038) { char x943 = x942[0]; int x990 = 'C' == x943; int x1081; if (x990) { /*@assert re_bwd_3(x877,0,(x881+1));*/ x880 = 3; /*@assert re_bwd_3(x877,0,(x881+1));*/ /*@assert ((x880==3) ==> re_bwd_3(x877,0,(x881+1)));*/ x1081 = 1/*true*/; } else { int x1011 = 'B' == x943; int x1079; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1079 = 1/*true*/; } else { x1079 = 0/*false*/; } x1081 = x1079; } x1156 = x1081; } else { int x1083 = x944 == 1; int x1154; if (x1083) { char x943 = x942[0]; int x1011 = 'B' == x943; int x1127; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1127 = 1/*true*/; } else { int x1104 = 'A' == x943; int x1125; if (x1104) { /*@assert re_bwd_1(x877,0,(x881+1));*/ x880 = 1; /*@assert re_bwd_1(x877,0,(x881+1));*/ /*@assert ((x880==1) ==> re_bwd_1(x877,0,(x881+1)));*/ x1125 = 1/*true*/; } else { x1125 = 0/*false*/; } x1127 = x1125; } x1154 = x1127; } else { int x1129 = x944 == 0; int x1152; if (x1129) { char x943 = x942[0]; int x1104 = 'A' == x943; int x1150; if (x1104) { /*@assert re_bwd_1(x877,0,(x881+1));*/ x880 = 1; /*@assert re_bwd_1(x877,0,(x881+1));*/ /*@assert ((x880==1) ==> re_bwd_1(x877,0,(x881+1)));*/ x1150 = 1/*true*/; } else { x1150 = 0/*false*/; } x1152 = x1150; } else { x1152 = 0/*false*/; } x1154 = x1152; } x1156 = x1154; } x1158 = x1156; } x1160 = x1158; } x879 = x1160; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,(x881+1))) && (((x880==3) ==> re_bwd_3(x877,0,(x881+1))) && (((x880==2) ==> re_bwd_2(x877,0,(x881+1))) && (((x880==1) ==> re_bwd_1(x877,0,(x881+1))) && ((x880==0) ==> re_bwd_0(x877,0,(x881+1))))))));*/ //@ ghost int x1189 = x881; //@ ghost int x1190 = x1189 + 1; //@ ghost x881 = x1190; char *x1192 = x942+1; x882 = x1192; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))));*/ } int x1312 = x880; char *x1313 = x882; char x1314 = x1313[0]; int x1315 = x1314 == '\0'; int x1318; if (x1315) { int x1316 = x879; x1318 = x1316; } else { x1318 = 0/*false*/; } int x1320; if (x1318) { int x1319 = 4 == x1312; x1320 = x1319; } else { x1320 = 0/*false*/; } return x1320; }
#include <limits.h> #include <string.h> /*@ predicate star_A(char * x93, integer x94, integer x95) = ((x94==x95) || (\exists integer x98; (((x94<x98) && (x98<=x95)) ==> ((('A'==x93[x94]) && (x98==(x94+1))) && star_A(x93,x98,x95)))));*/ /*@ predicate star_D(char * x114, integer x115, integer x116) = ((x115==x116) || (\exists integer x119; (((x115<x119) && (x119<=x116)) ==> ((('D'==x114[x115]) && (x119==(x115+1))) && star_D(x114,x119,x116)))));*/ /*@ predicate star_C(char * x135, integer x136, integer x137) = ((x136==x137) || (\exists integer x140; (((x136<x140) && (x140<=x137)) ==> ((('C'==x135[x136]) && (x140==(x136+1))) && star_C(x135,x140,x137)))));*/ /*@ predicate star__orB_or_C_sCs_Bor_(char * x156, integer x157, integer x158) = ((x157==x158) || (\exists integer x161; (((x157<x161) && (x161<=x158)) ==> (((('B'==x156[x157]) && (x161==(x157+1))) || (\exists integer x170; ((((x157<=x170) && (x170<=x161)) && (('C'==x156[x157]) && (x170==(x157+1)))) && (\exists integer x178; ((((x170<=x178) && (x178<=x161)) && star_C(x156,x170,x178)) && (('B'==x156[x178]) && (x161==(x178+1)))))))) && star__orB_or_C_sCs_Bor_(x156,x161,x158)))));*/ /*@ predicate re_0(char * x0, integer x1, integer x2) = (\exists integer x4; ((((x1<=x4) && (x4<=x2)) && (('A'==x0[x1]) && (x4==(x1+1)))) && (\exists integer x14; ((((x4<=x14) && (x14<=x2)) && star_A(x0,x4,x14)) && (\exists integer x21; ((((x14<=x21) && (x21<=x2)) && (('B'==x0[x14]) && (x21==(x14+1)))) && (\exists integer x31; ((((x21<=x31) && (x31<=x2)) && star__orB_or_C_sCs_Bor_(x0,x21,x31)) && (\exists integer x38; ((((x31<=x38) && (x38<=x2)) && (('C'==x0[x31]) && (x38==(x31+1)))) && (\exists integer x48; ((((x38<=x48) && (x48<=x2)) && star_C(x0,x38,x48)) && (\exists integer x55; ((((x48<=x55) && (x55<=x2)) && (('D'==x0[x48]) && (x55==(x48+1)))) && (\exists integer x65; ((((x55<=x65) && (x65<=x2)) && star_D(x0,x55,x65)) && (x65==x2)))))))))))))))));*/ /*@ predicate re_1(char * x201, integer x202, integer x203) = (\exists integer x205; ((((x202<=x205) && (x205<=x203)) && star_A(x201,x202,x205)) && (\exists integer x211; ((((x205<=x211) && (x211<=x203)) && (('B'==x201[x205]) && (x211==(x205+1)))) && (\exists integer x221; ((((x211<=x221) && (x221<=x203)) && star__orB_or_C_sCs_Bor_(x201,x211,x221)) && (\exists integer x227; ((((x221<=x227) && (x227<=x203)) && (('C'==x201[x221]) && (x227==(x221+1)))) && (\exists integer x237; ((((x227<=x237) && (x237<=x203)) && star_C(x201,x227,x237)) && (\exists integer x243; ((((x237<=x243) && (x243<=x203)) && (('D'==x201[x237]) && (x243==(x237+1)))) && (\exists integer x253; ((((x243<=x253) && (x253<=x203)) && star_D(x201,x243,x253)) && (x253==x203)))))))))))))));*/ /*@ predicate re_2(char * x274, integer x275, integer x276) = (\exists integer x278; ((((x275<=x278) && (x278<=x276)) && star__orB_or_C_sCs_Bor_(x274,x275,x278)) && (\exists integer x284; ((((x278<=x284) && (x284<=x276)) && (('C'==x274[x278]) && (x284==(x278+1)))) && (\exists integer x294; ((((x284<=x294) && (x294<=x276)) && star_C(x274,x284,x294)) && (\exists integer x300; ((((x294<=x300) && (x300<=x276)) && (('D'==x274[x294]) && (x300==(x294+1)))) && (\exists integer x310; ((((x300<=x310) && (x310<=x276)) && star_D(x274,x300,x310)) && (x310==x276)))))))))));*/ /*@ predicate re_3(char * x327, integer x328, integer x329) = (\exists integer x331; ((((x328<=x331) && (x331<=x329)) && star_C(x327,x328,x331)) && (\exists integer x337; ((((x331<=x337) && (x337<=x329)) && (('D'==x327[x331]) && (x337==(x331+1)))) && (\exists integer x347; ((((x337<=x347) && (x347<=x329)) && star_D(x327,x337,x347)) && (x347==x329)))))));*/ /*@ predicate re_4(char * x360, integer x361, integer x362) = (\exists integer x364; ((((x361<=x364) && (x364<=x362)) && star_D(x360,x361,x364)) && (x364==x362)));*/ /*@ predicate re_bwd_0(char * x373, integer x374, integer x375) = (x374==x375);*/ /*@ predicate re_bwd_1(char * x378, integer x379, integer x380) = (\exists integer x382; ((((x379<=x382) && (x382<=x380)) && (('A'==x378[x379]) && (x382==(x379+1)))) && (\exists integer x392; ((((x382<=x392) && (x392<=x380)) && star_A(x378,x382,x392)) && (x392==x380)))));*/ /*@ predicate re_bwd_2(char * x403, integer x404, integer x405) = (\exists integer x407; ((((x404<=x407) && (x407<=x405)) && (('A'==x403[x404]) && (x407==(x404+1)))) && (\exists integer x417; ((((x407<=x417) && (x417<=x405)) && star_A(x403,x407,x417)) && (\exists integer x423; ((((x417<=x423) && (x423<=x405)) && (('B'==x403[x417]) && (x423==(x417+1)))) && (\exists integer x433; ((((x423<=x433) && (x433<=x405)) && star__orB_or_C_sCs_Bor_(x403,x423,x433)) && (x433==x405)))))))));*/ /*@ predicate re_bwd_3(char * x448, integer x449, integer x450) = (\exists integer x452; ((((x449<=x452) && (x452<=x450)) && (('A'==x448[x449]) && (x452==(x449+1)))) && (\exists integer x462; ((((x452<=x462) && (x462<=x450)) && star_A(x448,x452,x462)) && (\exists integer x468; ((((x462<=x468) && (x468<=x450)) && (('B'==x448[x462]) && (x468==(x462+1)))) && (\exists integer x478; ((((x468<=x478) && (x478<=x450)) && star__orB_or_C_sCs_Bor_(x448,x468,x478)) && (\exists integer x484; ((((x478<=x484) && (x484<=x450)) && (('C'==x448[x478]) && (x484==(x478+1)))) && (\exists integer x494; ((((x484<=x494) && (x494<=x450)) && star_C(x448,x484,x494)) && (x494==x450)))))))))))));*/ /*@ predicate re_bwd_4(char * x513, integer x514, integer x515) = (\exists integer x517; ((((x514<=x517) && (x517<=x515)) && (('A'==x513[x514]) && (x517==(x514+1)))) && (\exists integer x527; ((((x517<=x527) && (x527<=x515)) && star_A(x513,x517,x527)) && (\exists integer x533; ((((x527<=x533) && (x533<=x515)) && (('B'==x513[x527]) && (x533==(x527+1)))) && (\exists integer x543; ((((x533<=x543) && (x543<=x515)) && star__orB_or_C_sCs_Bor_(x513,x533,x543)) && (\exists integer x549; ((((x543<=x549) && (x549<=x515)) && (('C'==x513[x543]) && (x549==(x543+1)))) && (\exists integer x559; ((((x549<=x559) && (x559<=x515)) && star_C(x513,x549,x559)) && (\exists integer x565; ((((x559<=x565) && (x565<=x515)) && (('D'==x513[x559]) && (x565==(x559+1)))) && (\exists integer x575; ((((x565<=x575) && (x575<=x515)) && star_D(x513,x565,x575)) && (x575==x515)))))))))))))))));*/ /*@ predicate star_starting_D(char * x719, integer x720, integer x721) = ((((x720==x721) || (('D'==x719[x720]) && (x721>=(x720+1)))) || (\exists integer x730; (((x720<x730) && (x730<=x721)) ==> ((('D'==x719[x720]) && (x730==(x720+1))) && star_starting_D(x719,x730,x721))))) || (x721>=x720));*/ /*@ predicate star_starting_A(char * x745, integer x746, integer x747) = ((((x746==x747) || (('A'==x745[x746]) && (x747>=(x746+1)))) || (\exists integer x756; (((x746<x756) && (x756<=x747)) ==> ((('A'==x745[x746]) && (x756==(x746+1))) && star_starting_A(x745,x756,x747))))) || (x747>=x746));*/ /*@ predicate star_starting_C(char * x771, integer x772, integer x773) = ((((x772==x773) || (('C'==x771[x772]) && (x773>=(x772+1)))) || (\exists integer x782; (((x772<x782) && (x782<=x773)) ==> ((('C'==x771[x772]) && (x782==(x772+1))) && star_starting_C(x771,x782,x773))))) || (x773>=x772));*/ /*@ predicate star_starting__orB_or_C_sCs_Bor_(char * x797, integer x798, integer x799) = (((((x798==x799) || (('B'==x797[x798]) && (x799>=(x798+1)))) || (((x798==x799) || (('C'==x797[x798]) && (x799>=(x798+1)))) || (\exists integer x811; ((((x798<=x811) && (x811<=x799)) && (('C'==x797[x798]) && (x811==(x798+1)))) && (star_starting_C(x797,x811,x799) || (\exists integer x819; ((((x811<=x819) && (x819<=x799)) && star_C(x797,x811,x819)) && ((x819==x799) || (('B'==x797[x819]) && (x799>=(x819+1))))))))))) || (\exists integer x839; (((x798<x839) && (x839<=x799)) ==> (((('B'==x797[x798]) && (x839==(x798+1))) || (\exists integer x845; ((((x798<=x845) && (x845<=x839)) && (('C'==x797[x798]) && (x845==(x798+1)))) && (\exists integer x852; ((((x845<=x852) && (x852<=x839)) && star_C(x797,x845,x852)) && (('B'==x797[x852]) && (x839==(x852+1)))))))) && star_starting__orB_or_C_sCs_Bor_(x797,x839,x799))))) || (x799>=x798));*/ /*@ predicate re0(char * x598, integer x599, integer x600) = (((x599==x600) || (('A'==x598[x599]) && (x600>=(x599+1)))) || (\exists integer x609; ((((x599<=x609) && (x609<=x600)) && (('A'==x598[x599]) && (x609==(x599+1)))) && (star_starting_A(x598,x609,x600) || (\exists integer x617; ((((x609<=x617) && (x617<=x600)) && star_A(x598,x609,x617)) && (((x617==x600) || (('B'==x598[x617]) && (x600>=(x617+1)))) || (\exists integer x630; ((((x617<=x630) && (x630<=x600)) && (('B'==x598[x617]) && (x630==(x617+1)))) && (star_starting__orB_or_C_sCs_Bor_(x598,x630,x600) || (\exists integer x638; ((((x630<=x638) && (x638<=x600)) && star__orB_or_C_sCs_Bor_(x598,x630,x638)) && (((x638==x600) || (('C'==x598[x638]) && (x600>=(x638+1)))) || (\exists integer x651; ((((x638<=x651) && (x651<=x600)) && (('C'==x598[x638]) && (x651==(x638+1)))) && (star_starting_C(x598,x651,x600) || (\exists integer x659; ((((x651<=x659) && (x659<=x600)) && star_C(x598,x651,x659)) && (((x659==x600) || (('D'==x598[x659]) && (x600>=(x659+1)))) || (\exists integer x672; ((((x659<=x672) && (x672<=x600)) && (('D'==x598[x659]) && (x672==(x659+1)))) && (star_starting_D(x598,x672,x600) || (\exists integer x680; ((((x672<=x680) && (x680<=x600)) && star_D(x598,x672,x680)) && (x600>=x680)))))))))))))))))))))))));*/ /*@ requires (((strlen(x877)>=0) && \valid(x877+(0..strlen(x877)))) && (strlen(x877)<=INT_MAX)); assigns \nothing; ensures (\result ==> re_0(x877,0,strlen(x877))); */
int dfa(char * x877) { int x879 = 1/*true*/; int x880 = 0; //@ ghost int x881 = 0; char *x882 = x877; /*@ loop invariant (((((((((strlen(x877)>=0) && \valid(x877+(0..strlen(x877)))) && ((0<=x881) && (x881<=strlen(x877)))) && (x882==(x877+x881))) && ((strlen((x877+x881))>=0) && \valid((x877+x881)+(0..strlen((x877+x881)))))) && (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))))) && (x879 ==> re0(x877,0,x881))) && ((x880==4) ==> (re_bwd_4(x877,0,x881) ==> re_0(x877,0,x881)))) && ((x880==4) || ((x880==3) || ((x880==2) || ((x880==1) || (x880==0)))))); loop assigns x882, x881, x880, x879; loop variant strlen(x882); */ for (;;) { char *x884 = x882; char x885 = x884[0]; int x886 = x885 == '\0'; int x890; if (x886) { x890 = 0/*false*/; } else { int x888 = x879; x890 = x888; } if (!x890) break; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))));*/ /*@assert (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881))))));*/ char *x942 = x882; int x944 = x880; int x945 = x944 == 4; int x1160; if (x945) { char x943 = x942[0]; int x946 = 'D' == x943; int x967; if (x946) { /*@assert re_bwd_4(x877,0,(x881+1));*/ x880 = 4; /*@assert re_bwd_4(x877,0,(x881+1));*/ /*@assert ((x880==4) ==> re_bwd_4(x877,0,(x881+1)));*/ x967 = 1/*true*/; } else { x967 = 0/*false*/; } x1160 = x967; } else { int x969 = x944 == 3; int x1158; if (x969) { char x943 = x942[0]; int x946 = 'D' == x943; int x1036; if (x946) { /*@assert re_bwd_4(x877,0,(x881+1));*/ x880 = 4; /*@assert re_bwd_4(x877,0,(x881+1));*/ /*@assert ((x880==4) ==> re_bwd_4(x877,0,(x881+1)));*/ x1036 = 1/*true*/; } else { int x990 = 'C' == x943; int x1034; if (x990) { /*@assert re_bwd_3(x877,0,(x881+1));*/ x880 = 3; /*@assert re_bwd_3(x877,0,(x881+1));*/ /*@assert ((x880==3) ==> re_bwd_3(x877,0,(x881+1)));*/ x1034 = 1/*true*/; } else { int x1011 = 'B' == x943; int x1032; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1032 = 1/*true*/; } else { x1032 = 0/*false*/; } x1034 = x1032; } x1036 = x1034; } x1158 = x1036; } else { int x1038 = x944 == 2; int x1156; if (x1038) { char x943 = x942[0]; int x990 = 'C' == x943; int x1081; if (x990) { /*@assert re_bwd_3(x877,0,(x881+1));*/ x880 = 3; /*@assert re_bwd_3(x877,0,(x881+1));*/ /*@assert ((x880==3) ==> re_bwd_3(x877,0,(x881+1)));*/ x1081 = 1/*true*/; } else { int x1011 = 'B' == x943; int x1079; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1079 = 1/*true*/; } else { x1079 = 0/*false*/; } x1081 = x1079; } x1156 = x1081; } else { int x1083 = x944 == 1; int x1154; if (x1083) { char x943 = x942[0]; int x1011 = 'B' == x943; int x1127; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1127 = 1/*true*/; } else { int x1104 = 'A' == x943; int x1125; if (x1104) { /*@assert re_bwd_1(x877,0,(x881+1));*/ x880 = 1; /*@assert re_bwd_1(x877,0,(x881+1));*/ /*@assert ((x880==1) ==> re_bwd_1(x877,0,(x881+1)));*/ x1125 = 1/*true*/; } else { x1125 = 0/*false*/; } x1127 = x1125; } x1154 = x1127; } else { int x1129 = x944 == 0; int x1152; if (x1129) { char x943 = x942[0]; int x1104 = 'A' == x943; int x1150; if (x1104) { /*@assert re_bwd_1(x877,0,(x881+1));*/ x880 = 1; /*@assert re_bwd_1(x877,0,(x881+1));*/ /*@assert ((x880==1) ==> re_bwd_1(x877,0,(x881+1)));*/ x1150 = 1/*true*/; } else { x1150 = 0/*false*/; } x1152 = x1150; } else { x1152 = 0/*false*/; } x1154 = x1152; } x1156 = x1154; } x1158 = x1156; } x1160 = x1158; } x879 = x1160; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,(x881+1))) && (((x880==3) ==> re_bwd_3(x877,0,(x881+1))) && (((x880==2) ==> re_bwd_2(x877,0,(x881+1))) && (((x880==1) ==> re_bwd_1(x877,0,(x881+1))) && ((x880==0) ==> re_bwd_0(x877,0,(x881+1))))))));*/ //@ ghost int x1189 = x881; //@ ghost int x1190 = x1189 + 1; //@ ghost x881 = x1190; char *x1192 = x942+1; x882 = x1192; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))));*/ } int x1312 = x880; char *x1313 = x882; char x1314 = x1313[0]; int x1315 = x1314 == '\0'; int x1318; if (x1315) { int x1316 = x879; x1318 = x1316; } else { x1318 = 0/*false*/; } int x1320; if (x1318) { int x1319 = 4 == x1312; x1320 = x1319; } else { x1320 = 0/*false*/; } return x1320; }
true
84
84
int dfa(char * x877) { int x879 = 1/*true*/; int x880 = 0; //@ ghost int x881 = 0; char *x882 = x877; /*@ loop invariant (((((((((strlen(x877)>=0) && \valid(x877+(0..strlen(x877)))) && ((0<=x881) && (x881<=strlen(x877)))) && (x882==(x877+x881))) && ((strlen((x877+x881))>=0) && \valid((x877+x881)+(0..strlen((x877+x881)))))) && (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))))) && (x879 ==> re0(x877,0,x881))) && ((x880==4) ==> (re_bwd_4(x877,0,x881) ==> re_0(x877,0,x881)))) && ((x880==4) || ((x880==3) || ((x880==2) || ((x880==1) || (x880==0)))))); loop assigns x882, x881, x880, x879; loop variant strlen(x882); */ for (;;) { char *x884 = x882; char x885 = x884[0]; int x886 = x885 == '\0'; int x890; if (x886) { x890 = 0/*false*/; } else { int x888 = x879; x890 = x888; } if (!x890) break; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))));*/ /*@assert (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881))))));*/ char *x942 = x882; int x944 = x880; int x945 = x944 == 4; int x1160; if (x945) { char x943 = x942[0]; int x946 = 'D' == x943; int x967; if (x946) { /*@assert re_bwd_4(x877,0,(x881+1));*/ x880 = 4; /*@assert re_bwd_4(x877,0,(x881+1));*/ /*@assert ((x880==4) ==> re_bwd_4(x877,0,(x881+1)));*/ x967 = 1/*true*/; } else { x967 = 0/*false*/; } x1160 = x967; } else { int x969 = x944 == 3; int x1158; if (x969) { char x943 = x942[0]; int x946 = 'D' == x943; int x1036; if (x946) { /*@assert re_bwd_4(x877,0,(x881+1));*/ x880 = 4; /*@assert re_bwd_4(x877,0,(x881+1));*/ /*@assert ((x880==4) ==> re_bwd_4(x877,0,(x881+1)));*/ x1036 = 1/*true*/; } else { int x990 = 'C' == x943; int x1034; if (x990) { /*@assert re_bwd_3(x877,0,(x881+1));*/ x880 = 3; /*@assert re_bwd_3(x877,0,(x881+1));*/ /*@assert ((x880==3) ==> re_bwd_3(x877,0,(x881+1)));*/ x1034 = 1/*true*/; } else { int x1011 = 'B' == x943; int x1032; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1032 = 1/*true*/; } else { x1032 = 0/*false*/; } x1034 = x1032; } x1036 = x1034; } x1158 = x1036; } else { int x1038 = x944 == 2; int x1156; if (x1038) { char x943 = x942[0]; int x990 = 'C' == x943; int x1081; if (x990) { /*@assert re_bwd_3(x877,0,(x881+1));*/ x880 = 3; /*@assert re_bwd_3(x877,0,(x881+1));*/ /*@assert ((x880==3) ==> re_bwd_3(x877,0,(x881+1)));*/ x1081 = 1/*true*/; } else { int x1011 = 'B' == x943; int x1079; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1079 = 1/*true*/; } else { x1079 = 0/*false*/; } x1081 = x1079; } x1156 = x1081; } else { int x1083 = x944 == 1; int x1154; if (x1083) { char x943 = x942[0]; int x1011 = 'B' == x943; int x1127; if (x1011) { /*@assert re_bwd_2(x877,0,(x881+1));*/ x880 = 2; /*@assert re_bwd_2(x877,0,(x881+1));*/ /*@assert ((x880==2) ==> re_bwd_2(x877,0,(x881+1)));*/ x1127 = 1/*true*/; } else { int x1104 = 'A' == x943; int x1125; if (x1104) { /*@assert re_bwd_1(x877,0,(x881+1));*/ x880 = 1; /*@assert re_bwd_1(x877,0,(x881+1));*/ /*@assert ((x880==1) ==> re_bwd_1(x877,0,(x881+1)));*/ x1125 = 1/*true*/; } else { x1125 = 0/*false*/; } x1127 = x1125; } x1154 = x1127; } else { int x1129 = x944 == 0; int x1152; if (x1129) { char x943 = x942[0]; int x1104 = 'A' == x943; int x1150; if (x1104) { /*@assert re_bwd_1(x877,0,(x881+1));*/ x880 = 1; /*@assert re_bwd_1(x877,0,(x881+1));*/ /*@assert ((x880==1) ==> re_bwd_1(x877,0,(x881+1)));*/ x1150 = 1/*true*/; } else { x1150 = 0/*false*/; } x1152 = x1150; } else { x1152 = 0/*false*/; } x1154 = x1152; } x1156 = x1154; } x1158 = x1156; } x1160 = x1158; } x879 = x1160; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,(x881+1))) && (((x880==3) ==> re_bwd_3(x877,0,(x881+1))) && (((x880==2) ==> re_bwd_2(x877,0,(x881+1))) && (((x880==1) ==> re_bwd_1(x877,0,(x881+1))) && ((x880==0) ==> re_bwd_0(x877,0,(x881+1))))))));*/ //@ ghost int x1189 = x881; //@ ghost int x1190 = x1189 + 1; //@ ghost x881 = x1190; char *x1192 = x942+1; x882 = x1192; /*@assert (x879 ==> (((x880==4) ==> re_bwd_4(x877,0,x881)) && (((x880==3) ==> re_bwd_3(x877,0,x881)) && (((x880==2) ==> re_bwd_2(x877,0,x881)) && (((x880==1) ==> re_bwd_1(x877,0,x881)) && ((x880==0) ==> re_bwd_0(x877,0,x881)))))));*/ } int x1312 = x880; char *x1313 = x882; char x1314 = x1313[0]; int x1315 = x1314 == '\0'; int x1318; if (x1315) { int x1316 = x879; x1318 = x1316; } else { x1318 = 0/*false*/; } int x1320; if (x1318) { int x1319 = 4 == x1312; x1320 = x1319; } else { x1320 = 0/*false*/; } return x1320; }
#include <limits.h> #include <string.h> /*@ predicate star_A(char * x93, integer x94, integer x95) = ((x94==x95) || (\exists integer x98; (((x94<x98) && (x98<=x95)) ==> ((('A'==x93[x94]) && (x98==(x94+1))) && star_A(x93,x98,x95)))));*/ /*@ predicate star_D(char * x114, integer x115, integer x116) = ((x115==x116) || (\exists integer x119; (((x115<x119) && (x119<=x116)) ==> ((('D'==x114[x115]) && (x119==(x115+1))) && star_D(x114,x119,x116)))));*/ /*@ predicate star_C(char * x135, integer x136, integer x137) = ((x136==x137) || (\exists integer x140; (((x136<x140) && (x140<=x137)) ==> ((('C'==x135[x136]) && (x140==(x136+1))) && star_C(x135,x140,x137)))));*/ /*@ predicate star__orB_or_C_sCs_Bor_(char * x156, integer x157, integer x158) = ((x157==x158) || (\exists integer x161; (((x157<x161) && (x161<=x158)) ==> (((('B'==x156[x157]) && (x161==(x157+1))) || (\exists integer x170; ((((x157<=x170) && (x170<=x161)) && (('C'==x156[x157]) && (x170==(x157+1)))) && (\exists integer x178; ((((x170<=x178) && (x178<=x161)) && star_C(x156,x170,x178)) && (('B'==x156[x178]) && (x161==(x178+1)))))))) && star__orB_or_C_sCs_Bor_(x156,x161,x158)))));*/ /*@ predicate re_0(char * x0, integer x1, integer x2) = (\exists integer x4; ((((x1<=x4) && (x4<=x2)) && (('A'==x0[x1]) && (x4==(x1+1)))) && (\exists integer x14; ((((x4<=x14) && (x14<=x2)) && star_A(x0,x4,x14)) && (\exists integer x21; ((((x14<=x21) && (x21<=x2)) && (('B'==x0[x14]) && (x21==(x14+1)))) && (\exists integer x31; ((((x21<=x31) && (x31<=x2)) && star__orB_or_C_sCs_Bor_(x0,x21,x31)) && (\exists integer x38; ((((x31<=x38) && (x38<=x2)) && (('C'==x0[x31]) && (x38==(x31+1)))) && (\exists integer x48; ((((x38<=x48) && (x48<=x2)) && star_C(x0,x38,x48)) && (\exists integer x55; ((((x48<=x55) && (x55<=x2)) && (('D'==x0[x48]) && (x55==(x48+1)))) && (\exists integer x65; ((((x55<=x65) && (x65<=x2)) && star_D(x0,x55,x65)) && (x65==x2)))))))))))))))));*/ /*@ predicate re_1(char * x201, integer x202, integer x203) = (\exists integer x205; ((((x202<=x205) && (x205<=x203)) && star_A(x201,x202,x205)) && (\exists integer x211; ((((x205<=x211) && (x211<=x203)) && (('B'==x201[x205]) && (x211==(x205+1)))) && (\exists integer x221; ((((x211<=x221) && (x221<=x203)) && star__orB_or_C_sCs_Bor_(x201,x211,x221)) && (\exists integer x227; ((((x221<=x227) && (x227<=x203)) && (('C'==x201[x221]) && (x227==(x221+1)))) && (\exists integer x237; ((((x227<=x237) && (x237<=x203)) && star_C(x201,x227,x237)) && (\exists integer x243; ((((x237<=x243) && (x243<=x203)) && (('D'==x201[x237]) && (x243==(x237+1)))) && (\exists integer x253; ((((x243<=x253) && (x253<=x203)) && star_D(x201,x243,x253)) && (x253==x203)))))))))))))));*/ /*@ predicate re_2(char * x274, integer x275, integer x276) = (\exists integer x278; ((((x275<=x278) && (x278<=x276)) && star__orB_or_C_sCs_Bor_(x274,x275,x278)) && (\exists integer x284; ((((x278<=x284) && (x284<=x276)) && (('C'==x274[x278]) && (x284==(x278+1)))) && (\exists integer x294; ((((x284<=x294) && (x294<=x276)) && star_C(x274,x284,x294)) && (\exists integer x300; ((((x294<=x300) && (x300<=x276)) && (('D'==x274[x294]) && (x300==(x294+1)))) && (\exists integer x310; ((((x300<=x310) && (x310<=x276)) && star_D(x274,x300,x310)) && (x310==x276)))))))))));*/ /*@ predicate re_3(char * x327, integer x328, integer x329) = (\exists integer x331; ((((x328<=x331) && (x331<=x329)) && star_C(x327,x328,x331)) && (\exists integer x337; ((((x331<=x337) && (x337<=x329)) && (('D'==x327[x331]) && (x337==(x331+1)))) && (\exists integer x347; ((((x337<=x347) && (x347<=x329)) && star_D(x327,x337,x347)) && (x347==x329)))))));*/ /*@ predicate re_4(char * x360, integer x361, integer x362) = (\exists integer x364; ((((x361<=x364) && (x364<=x362)) && star_D(x360,x361,x364)) && (x364==x362)));*/ /*@ predicate re_bwd_0(char * x373, integer x374, integer x375) = (x374==x375);*/ /*@ predicate re_bwd_1(char * x378, integer x379, integer x380) = (\exists integer x382; ((((x379<=x382) && (x382<=x380)) && (('A'==x378[x379]) && (x382==(x379+1)))) && (\exists integer x392; ((((x382<=x392) && (x392<=x380)) && star_A(x378,x382,x392)) && (x392==x380)))));*/ /*@ predicate re_bwd_2(char * x403, integer x404, integer x405) = (\exists integer x407; ((((x404<=x407) && (x407<=x405)) && (('A'==x403[x404]) && (x407==(x404+1)))) && (\exists integer x417; ((((x407<=x417) && (x417<=x405)) && star_A(x403,x407,x417)) && (\exists integer x423; ((((x417<=x423) && (x423<=x405)) && (('B'==x403[x417]) && (x423==(x417+1)))) && (\exists integer x433; ((((x423<=x433) && (x433<=x405)) && star__orB_or_C_sCs_Bor_(x403,x423,x433)) && (x433==x405)))))))));*/ /*@ predicate re_bwd_3(char * x448, integer x449, integer x450) = (\exists integer x452; ((((x449<=x452) && (x452<=x450)) && (('A'==x448[x449]) && (x452==(x449+1)))) && (\exists integer x462; ((((x452<=x462) && (x462<=x450)) && star_A(x448,x452,x462)) && (\exists integer x468; ((((x462<=x468) && (x468<=x450)) && (('B'==x448[x462]) && (x468==(x462+1)))) && (\exists integer x478; ((((x468<=x478) && (x478<=x450)) && star__orB_or_C_sCs_Bor_(x448,x468,x478)) && (\exists integer x484; ((((x478<=x484) && (x484<=x450)) && (('C'==x448[x478]) && (x484==(x478+1)))) && (\exists integer x494; ((((x484<=x494) && (x494<=x450)) && star_C(x448,x484,x494)) && (x494==x450)))))))))))));*/ /*@ predicate re_bwd_4(char * x513, integer x514, integer x515) = (\exists integer x517; ((((x514<=x517) && (x517<=x515)) && (('A'==x513[x514]) && (x517==(x514+1)))) && (\exists integer x527; ((((x517<=x527) && (x527<=x515)) && star_A(x513,x517,x527)) && (\exists integer x533; ((((x527<=x533) && (x533<=x515)) && (('B'==x513[x527]) && (x533==(x527+1)))) && (\exists integer x543; ((((x533<=x543) && (x543<=x515)) && star__orB_or_C_sCs_Bor_(x513,x533,x543)) && (\exists integer x549; ((((x543<=x549) && (x549<=x515)) && (('C'==x513[x543]) && (x549==(x543+1)))) && (\exists integer x559; ((((x549<=x559) && (x559<=x515)) && star_C(x513,x549,x559)) && (\exists integer x565; ((((x559<=x565) && (x565<=x515)) && (('D'==x513[x559]) && (x565==(x559+1)))) && (\exists integer x575; ((((x565<=x575) && (x575<=x515)) && star_D(x513,x565,x575)) && (x575==x515)))))))))))))))));*/ /*@ predicate star_starting_D(char * x719, integer x720, integer x721) = ((((x720==x721) || (('D'==x719[x720]) && (x721>=(x720+1)))) || (\exists integer x730; (((x720<x730) && (x730<=x721)) ==> ((('D'==x719[x720]) && (x730==(x720+1))) && star_starting_D(x719,x730,x721))))) || (x721>=x720));*/ /*@ predicate star_starting_A(char * x745, integer x746, integer x747) = ((((x746==x747) || (('A'==x745[x746]) && (x747>=(x746+1)))) || (\exists integer x756; (((x746<x756) && (x756<=x747)) ==> ((('A'==x745[x746]) && (x756==(x746+1))) && star_starting_A(x745,x756,x747))))) || (x747>=x746));*/ /*@ predicate star_starting_C(char * x771, integer x772, integer x773) = ((((x772==x773) || (('C'==x771[x772]) && (x773>=(x772+1)))) || (\exists integer x782; (((x772<x782) && (x782<=x773)) ==> ((('C'==x771[x772]) && (x782==(x772+1))) && star_starting_C(x771,x782,x773))))) || (x773>=x772));*/ /*@ predicate star_starting__orB_or_C_sCs_Bor_(char * x797, integer x798, integer x799) = (((((x798==x799) || (('B'==x797[x798]) && (x799>=(x798+1)))) || (((x798==x799) || (('C'==x797[x798]) && (x799>=(x798+1)))) || (\exists integer x811; ((((x798<=x811) && (x811<=x799)) && (('C'==x797[x798]) && (x811==(x798+1)))) && (star_starting_C(x797,x811,x799) || (\exists integer x819; ((((x811<=x819) && (x819<=x799)) && star_C(x797,x811,x819)) && ((x819==x799) || (('B'==x797[x819]) && (x799>=(x819+1))))))))))) || (\exists integer x839; (((x798<x839) && (x839<=x799)) ==> (((('B'==x797[x798]) && (x839==(x798+1))) || (\exists integer x845; ((((x798<=x845) && (x845<=x839)) && (('C'==x797[x798]) && (x845==(x798+1)))) && (\exists integer x852; ((((x845<=x852) && (x852<=x839)) && star_C(x797,x845,x852)) && (('B'==x797[x852]) && (x839==(x852+1)))))))) && star_starting__orB_or_C_sCs_Bor_(x797,x839,x799))))) || (x799>=x798));*/ /*@ predicate re0(char * x598, integer x599, integer x600) = (((x599==x600) || (('A'==x598[x599]) && (x600>=(x599+1)))) || (\exists integer x609; ((((x599<=x609) && (x609<=x600)) && (('A'==x598[x599]) && (x609==(x599+1)))) && (star_starting_A(x598,x609,x600) || (\exists integer x617; ((((x609<=x617) && (x617<=x600)) && star_A(x598,x609,x617)) && (((x617==x600) || (('B'==x598[x617]) && (x600>=(x617+1)))) || (\exists integer x630; ((((x617<=x630) && (x630<=x600)) && (('B'==x598[x617]) && (x630==(x617+1)))) && (star_starting__orB_or_C_sCs_Bor_(x598,x630,x600) || (\exists integer x638; ((((x630<=x638) && (x638<=x600)) && star__orB_or_C_sCs_Bor_(x598,x630,x638)) && (((x638==x600) || (('C'==x598[x638]) && (x600>=(x638+1)))) || (\exists integer x651; ((((x638<=x651) && (x651<=x600)) && (('C'==x598[x638]) && (x651==(x638+1)))) && (star_starting_C(x598,x651,x600) || (\exists integer x659; ((((x651<=x659) && (x659<=x600)) && star_C(x598,x651,x659)) && (((x659==x600) || (('D'==x598[x659]) && (x600>=(x659+1)))) || (\exists integer x672; ((((x659<=x672) && (x672<=x600)) && (('D'==x598[x659]) && (x672==(x659+1)))) && (star_starting_D(x598,x672,x600) || (\exists integer x680; ((((x672<=x680) && (x680<=x600)) && star_D(x598,x672,x680)) && (x600>=x680)))))))))))))))))))))))));*/ /*@ requires (((strlen(x877)>=0) && \valid(x877+(0..strlen(x877)))) && (strlen(x877)<=INT_MAX)); assigns \nothing; ensures (\result ==> re_0(x877,0,strlen(x877))); */
frama_c_files_v2/test_frama_c_2778.c
/*@ axiomatic abs { @ logic int abs(int x); @ axiom pos: \forall int x; x >= 0 ==> abs(x) == x; @ axiom neg: \forall int x; x <= 0 ==> abs(x) == -x; @ } */ /*@ ensures \result == abs(x); @ assigns \nothing; */ int abs(int x); /*@ ensures (\result == x || \result == y) @ && \result >= x && \result >= y; @ assigns \nothing; */ int max(int x, int y); /*@ ensures \result >= 0; @ assigns \nothing; */ int max_abs(int x, int y) { x = abs(x); y = abs(y); return max(x, y); }
/*@ axiomatic abs { @ logic int abs(int x); @ axiom pos: \forall int x; x >= 0 ==> abs(x) == x; @ axiom neg: \forall int x; x <= 0 ==> abs(x) == -x; @ } */ /*@ ensures \result == abs(x); @ assigns \nothing; */ int abs(int x); /*@ ensures (\result == x || \result == y) @ && \result >= x && \result >= y; @ assigns \nothing; */ int max(int x, int y); /*@ ensures \result >= 0; @ assigns \nothing; */
int max_abs(int x, int y) { x = abs(x); y = abs(y); return max(x, y); }
true
10
10
int max_abs(int x, int y) { x = abs(x); y = abs(y); return max(x, y); }
/*@ axiomatic abs { @ logic int abs(int x); @ axiom pos: \forall int x; x >= 0 ==> abs(x) == x; @ axiom neg: \forall int x; x <= 0 ==> abs(x) == -x; @ } */ /*@ ensures \result == abs(x); @ assigns \nothing; */ int abs(int x); /*@ ensures (\result == x || \result == y) @ && \result >= x && \result >= y; @ assigns \nothing; */ int max(int x, int y); /*@ ensures \result >= 0; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_2336.c
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate inv_vec_vec_Int(int * * x16, int * x17, int x18) = (((x18==0) || ((x18>0) && (\valid(x16+(0..x18-1)) && \valid(x17+(0..x18-1))))) && (\forall int x28; (0<=x28<x18) ==> ((x17[x28]==0) || ((x17[x28]>0) && \valid(x16[x28]+(0..x17[x28]-1))))));*/ /*@ requires inv_vec_vec_Int(x66,x67,x68); assigns \nothing; ensures inv_vec_vec_Int(x66,x67,x68); */ int count_pos(int * * x66, int * x67, int x68) { int x70 = 0; /*@ loop invariant 0<=x72<=x68; loop invariant ((0<=x70) && (x70<=x72)); loop assigns x72, x70; loop variant x68-x72; */ for(int x72=0; x72 < x68; x72++) { int x75 = x70; int x81 = 0; int x74 = x67[x72]; int *x73 = x66[x72]; /*@ loop invariant 0<=x83<=x74; loop invariant ((0<=x81) && (x81<=x83)); loop assigns x83, x81; loop variant x74-x83; */ for(int x83=0; x83 < x74; x83++) { int x85 = x81; int x84 = x73[x83]; int x91 = x84 > 0; int x92; if (x91) { x92 = 1; } else { x92 = 0; } int x93 = x85 + x92; x81 = x93; } int x97 = x81; int x98 = x97 > 0; int x99; if (x98) { x99 = 1; } else { x99 = 0; } int x100 = x75 + x99; x70 = x100; } int x104 = x70; return x104; }
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate inv_vec_vec_Int(int * * x16, int * x17, int x18) = (((x18==0) || ((x18>0) && (\valid(x16+(0..x18-1)) && \valid(x17+(0..x18-1))))) && (\forall int x28; (0<=x28<x18) ==> ((x17[x28]==0) || ((x17[x28]>0) && \valid(x16[x28]+(0..x17[x28]-1))))));*/ /*@ requires inv_vec_vec_Int(x66,x67,x68); assigns \nothing; ensures inv_vec_vec_Int(x66,x67,x68); */
int count_pos(int * * x66, int * x67, int x68) { int x70 = 0; /*@ loop invariant 0<=x72<=x68; loop invariant ((0<=x70) && (x70<=x72)); loop assigns x72, x70; loop variant x68-x72; */ for(int x72=0; x72 < x68; x72++) { int x75 = x70; int x81 = 0; int x74 = x67[x72]; int *x73 = x66[x72]; /*@ loop invariant 0<=x83<=x74; loop invariant ((0<=x81) && (x81<=x83)); loop assigns x83, x81; loop variant x74-x83; */ for(int x83=0; x83 < x74; x83++) { int x85 = x81; int x84 = x73[x83]; int x91 = x84 > 0; int x92; if (x91) { x92 = 1; } else { x92 = 0; } int x93 = x85 + x92; x81 = x93; } int x97 = x81; int x98 = x97 > 0; int x99; if (x98) { x99 = 1; } else { x99 = 0; } int x100 = x75 + x99; x70 = x100; } int x104 = x70; return x104; }
true
32
32
int count_pos(int * * x66, int * x67, int x68) { int x70 = 0; /*@ loop invariant 0<=x72<=x68; loop invariant ((0<=x70) && (x70<=x72)); loop assigns x72, x70; loop variant x68-x72; */ for(int x72=0; x72 < x68; x72++) { int x75 = x70; int x81 = 0; int x74 = x67[x72]; int *x73 = x66[x72]; /*@ loop invariant 0<=x83<=x74; loop invariant ((0<=x81) && (x81<=x83)); loop assigns x83, x81; loop variant x74-x83; */ for(int x83=0; x83 < x74; x83++) { int x85 = x81; int x84 = x73[x83]; int x91 = x84 > 0; int x92; if (x91) { x92 = 1; } else { x92 = 0; } int x93 = x85 + x92; x81 = x93; } int x97 = x81; int x98 = x97 > 0; int x99; if (x98) { x99 = 1; } else { x99 = 0; } int x100 = x75 + x99; x70 = x100; } int x104 = x70; return x104; }
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate inv_vec_vec_Int(int * * x16, int * x17, int x18) = (((x18==0) || ((x18>0) && (\valid(x16+(0..x18-1)) && \valid(x17+(0..x18-1))))) && (\forall int x28; (0<=x28<x18) ==> ((x17[x28]==0) || ((x17[x28]>0) && \valid(x16[x28]+(0..x17[x28]-1))))));*/ /*@ requires inv_vec_vec_Int(x66,x67,x68); assigns \nothing; ensures inv_vec_vec_Int(x66,x67,x68); */
frama_c_files_v2/test_frama_c_2333.c
/*@ requires \valid(q) && \valid(r); requires 0<y<1000000000 && 0<=x<1000000000; assigns *q, *r ; */ void div_rem(unsigned x,unsigned y,unsigned* q,unsigned* r){ *q = x / y ; //@ assert *q==x/y; *r = x % y ; //@ assert *r==x%y; }
/*@ requires \valid(q) && \valid(r); requires 0<y<1000000000 && 0<=x<1000000000; assigns *q, *r ; */
void div_rem(unsigned x,unsigned y,unsigned* q,unsigned* r){ *q = x / y ; //@ assert *q==x/y; *r = x % y ; //@ assert *r==x%y; }
true
10
10
void div_rem(unsigned x,unsigned y,unsigned* q,unsigned* r){ *q = x / y ; //@ assert *q==x/y; *r = x % y ; //@ assert *r==x%y; }
/*@ requires \valid(q) && \valid(r); requires 0<y<1000000000 && 0<=x<1000000000; assigns *q, *r ; */
frama_c_files_v2/test_frama_c_263.c
#include <limits.h> /*@ requires x > INT_MIN; ensures 0 <= x ==> \result == x; ensures 0 > x ==> \result == -x; */ int abs_int(int x) { return (x >= 0) ? x : -x; }
#include <limits.h> /*@ requires x > INT_MIN; ensures 0 <= x ==> \result == x; ensures 0 > x ==> \result == -x; */
int abs_int(int x) { return (x >= 0) ? x : -x; }
true
5
5
int abs_int(int x) { return (x >= 0) ? x : -x; }
#include <limits.h> /*@ requires x > INT_MIN; ensures 0 <= x ==> \result == x; ensures 0 > x ==> \result == -x; */
frama_c_files_v2/test_frama_c_1451.c
#define SPEC_INT_MIN -2147483648 #define SPEC_INT_MAX 2147483647 /*@ assigns \nothing; ensures \result >= 0; behavior positive: assumes a > 0; ensures \result == a; behavior zero: assumes a == 0; ensures \result == 0; ensures \result == a; behavior negative: assumes a < 0; ensures \result == -a; complete behaviors; disjoint behaviors; */ long spec_abs1(int a) { long abs; abs = a; if (a < 0) { abs = -abs; } return abs; } #ifdef OUT_OF_TASK #include <stdio.h> int main(void) { printf("res: %ld\n", spec_abs1(SPEC_INT_MIN + 1)); return 0; } #endif
#include <stdio.h> /*@ assigns \nothing; ensures \result >= 0; behavior positive: assumes a > 0; ensures \result == a; behavior zero: assumes a == 0; ensures \result == 0; ensures \result == a; behavior negative: assumes a < 0; ensures \result == -a; complete behaviors; disjoint behaviors; */
long spec_abs1(int a) { long abs; abs = a; if (a < 0) { abs = -abs; } return abs; }
true
12
12
long spec_abs1(int a) { long abs; abs = a; if (a < 0) { abs = -abs; } return abs; }
#include <stdio.h> /*@ assigns \nothing; ensures \result >= 0; behavior positive: assumes a > 0; ensures \result == a; behavior zero: assumes a == 0; ensures \result == 0; ensures \result == a; behavior negative: assumes a < 0; ensures \result == -a; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; }
true
4
4
struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; }
true
9
9
struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; }
true
13
13
struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; }
true
18
18
struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; }
true
22
22
struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; }
true
27
27
struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; }
true
31
31
struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */
frama_c_files_v2/test_frama_c_2483.c
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
true
36
36
struct maybeBool someBool (bool val) { struct maybeBool result = { true, val }; return result; }
#include<stdbool.h> /*@ axiomatic error_bounds { logic real ulp(real X); logic real errAdd( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X + Y) + E_X + E_Y)/2; logic real errSub( real X, real Y, real E_X, real E_Y) = E_X + E_Y + ulp(\abs(X - Y) + E_X + E_Y)/2; } */ struct maybeInt { bool isValid; int value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeInt none () { struct maybeInt result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeInt some (int val) { struct maybeInt result = { true, val }; return result; } struct maybeFloat { bool isValid; float value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeFloat noneFloat () { struct maybeFloat result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeFloat someFloat (float val) { struct maybeFloat result = { true, val }; return result; } struct maybeDouble { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeDouble noneDouble () { struct maybeDouble result = { false, 0 }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */ struct maybeDouble someDouble (double val) { struct maybeDouble result = { true, val }; return result; } struct maybeBool { bool isValid; double value; }; /*@ assigns \nothing; ensures ! \result.isValid; */ struct maybeBool noneBool () { struct maybeBool result = { false, false }; return result; } /*@ assigns \nothing; ensures \result.isValid; ensures \result.value == val; */
frama_c_files_v2/test_frama_c_2574.c
/*@ ensures \result <= sizeof(int); */ int f() { return sizeof(char); }
/*@ ensures \result <= sizeof(int); */
int f() { return sizeof(char); }
true
3
3
int f() { return sizeof(char); }
/*@ ensures \result <= sizeof(int); */
frama_c_files_v2/test_frama_c_419.c
/* * memswap() * * Swaps the contents of two nonoverlapping memory areas. * This really could be done faster... */ #include <string.h> /*@ requires n >= 0; requires \valid(((char*)m1)+(0..n-1)); requires \valid(((char*)m2)+(0..n-1)); requires \separated(((char*)m1)+(0..n-1), ((char*)m2)+(0..n-1)); assigns ((char*)m1)[0..n-1]; assigns ((char*)m2)[0..n-1]; ensures \forall integer i; 0 <= i < n ==> ((char*)m1)[i] == \old(((char*)m2)[i]); ensures \forall integer i; 0 <= i < n ==> ((char*)m2)[i] == \old(((char*)m1)[i]); @*/ void memswap(void *m1, void *m2, size_t n) { char *p = m1; char *q = m2; char tmp; /*@ loop invariant \base_addr(p) == \base_addr(m1); loop invariant \base_addr(q) == \base_addr(m2); loop invariant 0 <= n <= \at(n, Pre); loop invariant p == m1+(\at(n, Pre) - n); loop invariant q == m2+(\at(n, Pre) - n); loop invariant \forall integer i; 0 <= i < (\at(n, Pre) - n) ==> ((char*)m2)[i] == \at(((char*)m1)[i], Pre); loop invariant \forall integer i; 0 <= i < (\at(n, Pre) - n) ==> ((char*)m1)[i] == \at(((char*)m2)[i], Pre); loop invariant \forall integer i; (\at(n, Pre) - n) <= i < \at(n, Pre) ==> ((char*)m1)[i] == \at(((char*)m1)[i], Pre); loop invariant \forall integer i; (\at(n, Pre) - n) <= i < \at(n, Pre) ==> ((char*)m2)[i] == \at(((char*)m2)[i], Pre); loop assigns n, tmp, ((char*)m1)[0..(\at(n, Pre) - n - 1)], ((char*)m2)[0..(\at(n, Pre) - n - 1)], p, q; loop variant n; @*/ while (/*n--*/ n) { tmp = *p; *p = *q; *q = tmp; p++; q++; n--; // inserted code } }
#include <string.h> /*@ requires n >= 0; requires \valid(((char*)m1)+(0..n-1)); requires \valid(((char*)m2)+(0..n-1)); requires \separated(((char*)m1)+(0..n-1), ((char*)m2)+(0..n-1)); assigns ((char*)m1)[0..n-1]; assigns ((char*)m2)[0..n-1]; ensures \forall integer i; 0 <= i < n ==> ((char*)m1)[i] == \old(((char*)m2)[i]); ensures \forall integer i; 0 <= i < n ==> ((char*)m2)[i] == \old(((char*)m1)[i]); @*/
void memswap(void *m1, void *m2, size_t n) { char *p = m1; char *q = m2; char tmp; /*@ loop invariant \base_addr(p) == \base_addr(m1); loop invariant \base_addr(q) == \base_addr(m2); loop invariant 0 <= n <= \at(n, Pre); loop invariant p == m1+(\at(n, Pre) - n); loop invariant q == m2+(\at(n, Pre) - n); loop invariant \forall integer i; 0 <= i < (\at(n, Pre) - n) ==> ((char*)m2)[i] == \at(((char*)m1)[i], Pre); loop invariant \forall integer i; 0 <= i < (\at(n, Pre) - n) ==> ((char*)m1)[i] == \at(((char*)m2)[i], Pre); loop invariant \forall integer i; (\at(n, Pre) - n) <= i < \at(n, Pre) ==> ((char*)m1)[i] == \at(((char*)m1)[i], Pre); loop invariant \forall integer i; (\at(n, Pre) - n) <= i < \at(n, Pre) ==> ((char*)m2)[i] == \at(((char*)m2)[i], Pre); loop assigns n, tmp, ((char*)m1)[0..(\at(n, Pre) - n - 1)], ((char*)m2)[0..(\at(n, Pre) - n - 1)], p, q; loop variant n; @*/ while (/*n--*/ n) { tmp = *p; *p = *q; *q = tmp; p++; q++; n--; // inserted code } }
true
33
33
void memswap(void *m1, void *m2, size_t n) { char *p = m1; char *q = m2; char tmp; /*@ loop invariant \base_addr(p) == \base_addr(m1); loop invariant \base_addr(q) == \base_addr(m2); loop invariant 0 <= n <= \at(n, Pre); loop invariant p == m1+(\at(n, Pre) - n); loop invariant q == m2+(\at(n, Pre) - n); loop invariant \forall integer i; 0 <= i < (\at(n, Pre) - n) ==> ((char*)m2)[i] == \at(((char*)m1)[i], Pre); loop invariant \forall integer i; 0 <= i < (\at(n, Pre) - n) ==> ((char*)m1)[i] == \at(((char*)m2)[i], Pre); loop invariant \forall integer i; (\at(n, Pre) - n) <= i < \at(n, Pre) ==> ((char*)m1)[i] == \at(((char*)m1)[i], Pre); loop invariant \forall integer i; (\at(n, Pre) - n) <= i < \at(n, Pre) ==> ((char*)m2)[i] == \at(((char*)m2)[i], Pre); loop assigns n, tmp, ((char*)m1)[0..(\at(n, Pre) - n - 1)], ((char*)m2)[0..(\at(n, Pre) - n - 1)], p, q; loop variant n; @*/ while (/*n--*/ n) { tmp = *p; *p = *q; *q = tmp; p++; q++; n--; // inserted code } }
#include <string.h> /*@ requires n >= 0; requires \valid(((char*)m1)+(0..n-1)); requires \valid(((char*)m2)+(0..n-1)); requires \separated(((char*)m1)+(0..n-1), ((char*)m2)+(0..n-1)); assigns ((char*)m1)[0..n-1]; assigns ((char*)m2)[0..n-1]; ensures \forall integer i; 0 <= i < n ==> ((char*)m1)[i] == \old(((char*)m2)[i]); ensures \forall integer i; 0 <= i < n ==> ((char*)m2)[i] == \old(((char*)m1)[i]); @*/
frama_c_files_v2/test_frama_c_207.c
/*@ requires \valid(p+ (0..1)); ensures p[0] == \old(p[1]); ensures p[1] == \old(p[0]); assigns p[0], p[1]; */ void array_swap(int* p) { int tmp = p[0]; p[0] = p[1]; p[1] = tmp; }
/*@ requires \valid(p+ (0..1)); ensures p[0] == \old(p[1]); ensures p[1] == \old(p[0]); assigns p[0], p[1]; */
void array_swap(int* p) { int tmp = p[0]; p[0] = p[1]; p[1] = tmp; }
true
10
10
void array_swap(int* p) { int tmp = p[0]; p[0] = p[1]; p[1] = tmp; }
/*@ requires \valid(p+ (0..1)); ensures p[0] == \old(p[1]); ensures p[1] == \old(p[0]); assigns p[0], p[1]; */
frama_c_files_v2/test_frama_c_420.c
#include <limits.h> /*@ requires x > INT_MIN; assigns \nothing; behavior positive: assumes x >= 0; ensures \result == x; behavior negative: assumes x < 0; ensures \result == -x; complete behaviors; disjoint behaviors; */ int abs(int x) { if (x < 0) return -x; else if(x >= 0) return x; }
#include <limits.h> /*@ requires x > INT_MIN; assigns \nothing; behavior positive: assumes x >= 0; ensures \result == x; behavior negative: assumes x < 0; ensures \result == -x; complete behaviors; disjoint behaviors; */
int abs(int x) { if (x < 0) return -x; else if(x >= 0) return x; }
true
11
11
int abs(int x) { if (x < 0) return -x; else if(x >= 0) return x; }
#include <limits.h> /*@ requires x > INT_MIN; assigns \nothing; behavior positive: assumes x >= 0; ensures \result == x; behavior negative: assumes x < 0; ensures \result == -x; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_175.c
/* * @UBERXMHF_LICENSE_HEADER_START@ * * uber eXtensible Micro-Hypervisor Framework (Raspberry Pi) * * Copyright 2018 Carnegie Mellon University. All Rights Reserved. * * NO WARRANTY. THIS CARNEGIE MELLON UNIVERSITY AND SOFTWARE ENGINEERING * INSTITUTE MATERIAL IS FURNISHED ON AN "AS-IS" BASIS. CARNEGIE MELLON * UNIVERSITY MAKES NO WARRANTIES OF ANY KIND, EITHER EXPRESSED OR IMPLIED, * AS TO ANY MATTER INCLUDING, BUT NOT LIMITED TO, WARRANTY OF FITNESS FOR * PURPOSE OR MERCHANTABILITY, EXCLUSIVITY, OR RESULTS OBTAINED FROM USE OF * THE MATERIAL. CARNEGIE MELLON UNIVERSITY DOES NOT MAKE ANY WARRANTY OF * ANY KIND WITH RESPECT TO FREEDOM FROM PATENT, TRADEMARK, OR COPYRIGHT * INFRINGEMENT. * * Released under a BSD (SEI)-style license, please see LICENSE or * contact [email protected] for full terms. * * [DISTRIBUTION STATEMENT A] This material has been approved for public * release and unlimited distribution. Please see Copyright notice for * non-US Government use and distribution. * * Carnegie Mellon is registered in the U.S. Patent and Trademark Office by * Carnegie Mellon University. * * @UBERXMHF_LICENSE_HEADER_END@ */ /* * Author: Amit Vasudevan ([email protected]) * */ #include <stdint.h> #include <string.h> /* u32 strnlen(const char * s, u32 count){ const char *sc; for (sc = s; count-- && *sc != '\0'; ++sc); return (u32)(sc - s); }*/ /*@ requires maxlen >= 0; requires \valid(s+(0..maxlen-1)); assigns \nothing; behavior bigger: assumes \forall integer i; 0 <= i < maxlen ==> s[i] != 0; ensures \result == maxlen; behavior smaller: assumes \exists integer i; 0 <= i < maxlen && s[i] == 0; ensures \result <= maxlen; complete behaviors; disjoint behaviors; */ size_t strnlen(const char *s, size_t maxlen) { const char *ss = s; /* Important: the maxlen test must precede the reference through ss; since the byte beyond the maximum may segfault */ /*@ loop invariant 0 <= maxlen <= \at(maxlen,Pre); loop invariant \forall integer i; 0 <= i < (\at(maxlen, Pre) - maxlen) ==> s[i] != 0; loop invariant ss == s+(\at(maxlen, Pre) - maxlen); loop invariant s <= ss <= s+\at(maxlen, Pre); loop assigns maxlen, ss; loop variant maxlen; */ while ((maxlen > 0) && *ss) { ss++; maxlen--; } return ss - s; }
#include <stdint.h> #include <string.h> /*@ requires maxlen >= 0; requires \valid(s+(0..maxlen-1)); assigns \nothing; behavior bigger: assumes \forall integer i; 0 <= i < maxlen ==> s[i] != 0; ensures \result == maxlen; behavior smaller: assumes \exists integer i; 0 <= i < maxlen && s[i] == 0; ensures \result <= maxlen; complete behaviors; disjoint behaviors; */
size_t strnlen(const char *s, size_t maxlen) { const char *ss = s; /* Important: the maxlen test must precede the reference through ss; since the byte beyond the maximum may segfault */ /*@ loop invariant 0 <= maxlen <= \at(maxlen,Pre); loop invariant \forall integer i; 0 <= i < (\at(maxlen, Pre) - maxlen) ==> s[i] != 0; loop invariant ss == s+(\at(maxlen, Pre) - maxlen); loop invariant s <= ss <= s+\at(maxlen, Pre); loop assigns maxlen, ss; loop variant maxlen; */ while ((maxlen > 0) && *ss) { ss++; maxlen--; } return ss - s; }
true
21
21
size_t strnlen(const char *s, size_t maxlen) { const char *ss = s; /* Important: the maxlen test must precede the reference through ss; since the byte beyond the maximum may segfault */ /*@ loop invariant 0 <= maxlen <= \at(maxlen,Pre); loop invariant \forall integer i; 0 <= i < (\at(maxlen, Pre) - maxlen) ==> s[i] != 0; loop invariant ss == s+(\at(maxlen, Pre) - maxlen); loop invariant s <= ss <= s+\at(maxlen, Pre); loop assigns maxlen, ss; loop variant maxlen; */ while ((maxlen > 0) && *ss) { ss++; maxlen--; } return ss - s; }
#include <stdint.h> #include <string.h> /*@ requires maxlen >= 0; requires \valid(s+(0..maxlen-1)); assigns \nothing; behavior bigger: assumes \forall integer i; 0 <= i < maxlen ==> s[i] != 0; ensures \result == maxlen; behavior smaller: assumes \exists integer i; 0 <= i < maxlen && s[i] == 0; ensures \result <= maxlen; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_2001.c
#include <limits.h> #include <string.h> /*@ requires (((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))) && (strlen(x0)<=INT_MAX)); assigns \nothing; */ int dfa(char * x0) { int x2 = 1/*true*/; int x3 = 0; //@ ghost int x4 = 0; char *x5 = x0; /*@ loop invariant (((((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))) && ((0<=x4) && (x4<=strlen(x0)))) && (x5==(x0+x4))) && ((strlen((x0+x4))>=0) && \valid((x0+x4)+(0..strlen((x0+x4)))))); loop invariant ((x5[0]=='\0') ==> (strlen(x0)==x4)); loop invariant ((!(x5[0]=='\0')) ==> (strlen(x0)!=x4)); loop invariant ((x3==4) || ((x3==3) || ((x3==2) || ((x3==1) || (x3==0))))); loop assigns x5, x4, x3, x2; loop variant strlen(x5); */ for (;;) { char *x7 = x5; char x8 = x7[0]; int x9 = x8 == '\0'; int x13; if (x9) { x13 = 0/*false*/; } else { int x11 = x2; x13 = x11; } if (!x13) break; char *x41 = x5; char *x42 = x41+1; x5 = x42; /*@ghost x4 = (x4+1);*/ } char *x88 = x5; char x89 = x88[0]; int x90 = x89 == '\0'; int x93; if (x90) { int x91 = x2; x93 = x91; } else { x93 = 0/*false*/; } int x97; if (x93) { int x94 = x3; int x95 = x94 == 4; x97 = x95; } else { x97 = 0/*false*/; } /*@assert ((x5[0]=='\0') || (!x2));*/ return x97; }
#include <limits.h> #include <string.h> /*@ requires (((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))) && (strlen(x0)<=INT_MAX)); assigns \nothing; */
int dfa(char * x0) { int x2 = 1/*true*/; int x3 = 0; //@ ghost int x4 = 0; char *x5 = x0; /*@ loop invariant (((((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))) && ((0<=x4) && (x4<=strlen(x0)))) && (x5==(x0+x4))) && ((strlen((x0+x4))>=0) && \valid((x0+x4)+(0..strlen((x0+x4)))))); loop invariant ((x5[0]=='\0') ==> (strlen(x0)==x4)); loop invariant ((!(x5[0]=='\0')) ==> (strlen(x0)!=x4)); loop invariant ((x3==4) || ((x3==3) || ((x3==2) || ((x3==1) || (x3==0))))); loop assigns x5, x4, x3, x2; loop variant strlen(x5); */ for (;;) { char *x7 = x5; char x8 = x7[0]; int x9 = x8 == '\0'; int x13; if (x9) { x13 = 0/*false*/; } else { int x11 = x2; x13 = x11; } if (!x13) break; char *x41 = x5; char *x42 = x41+1; x5 = x42; /*@ghost x4 = (x4+1);*/ } char *x88 = x5; char x89 = x88[0]; int x90 = x89 == '\0'; int x93; if (x90) { int x91 = x2; x93 = x91; } else { x93 = 0/*false*/; } int x97; if (x93) { int x94 = x3; int x95 = x94 == 4; x97 = x95; } else { x97 = 0/*false*/; } /*@assert ((x5[0]=='\0') || (!x2));*/ return x97; }
true
26
26
int dfa(char * x0) { int x2 = 1/*true*/; int x3 = 0; //@ ghost int x4 = 0; char *x5 = x0; /*@ loop invariant (((((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))) && ((0<=x4) && (x4<=strlen(x0)))) && (x5==(x0+x4))) && ((strlen((x0+x4))>=0) && \valid((x0+x4)+(0..strlen((x0+x4)))))); loop invariant ((x5[0]=='\0') ==> (strlen(x0)==x4)); loop invariant ((!(x5[0]=='\0')) ==> (strlen(x0)!=x4)); loop invariant ((x3==4) || ((x3==3) || ((x3==2) || ((x3==1) || (x3==0))))); loop assigns x5, x4, x3, x2; loop variant strlen(x5); */ for (;;) { char *x7 = x5; char x8 = x7[0]; int x9 = x8 == '\0'; int x13; if (x9) { x13 = 0/*false*/; } else { int x11 = x2; x13 = x11; } if (!x13) break; char *x41 = x5; char *x42 = x41+1; x5 = x42; /*@ghost x4 = (x4+1);*/ } char *x88 = x5; char x89 = x88[0]; int x90 = x89 == '\0'; int x93; if (x90) { int x91 = x2; x93 = x91; } else { x93 = 0/*false*/; } int x97; if (x93) { int x94 = x3; int x95 = x94 == 4; x97 = x95; } else { x97 = 0/*false*/; } /*@assert ((x5[0]=='\0') || (!x2));*/ return x97; }
#include <limits.h> #include <string.h> /*@ requires (((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))) && (strlen(x0)<=INT_MAX)); assigns \nothing; */
frama_c_files_v2/test_frama_c_2743.c
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ requires inv_vec_Int(x16,x17); assigns \nothing; ensures inv_vec_Int(x16,x17); */ int count_pos(int * x16, int x17) { int x19 = 0; /*@ loop invariant 0<=x21<=x17; loop invariant ((0<=x19) && (x19<=x21)); loop assigns x21, x19; loop variant x17-x21; */ for(int x21=0; x21 < x17; x21++) { int x23 = x19; int x22 = x16[x21]; int x29 = x22 > 0; int x30; if (x29) { x30 = 1; } else { x30 = 0; } int x31 = x23 + x30; x19 = x31; } int x35 = x19; return x35; }
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ requires inv_vec_Int(x16,x17); assigns \nothing; ensures inv_vec_Int(x16,x17); */
int count_pos(int * x16, int x17) { int x19 = 0; /*@ loop invariant 0<=x21<=x17; loop invariant ((0<=x19) && (x19<=x21)); loop assigns x21, x19; loop variant x17-x21; */ for(int x21=0; x21 < x17; x21++) { int x23 = x19; int x22 = x16[x21]; int x29 = x22 > 0; int x30; if (x29) { x30 = 1; } else { x30 = 0; } int x31 = x23 + x30; x19 = x31; } int x35 = x19; return x35; }
true
17
17
int count_pos(int * x16, int x17) { int x19 = 0; /*@ loop invariant 0<=x21<=x17; loop invariant ((0<=x19) && (x19<=x21)); loop assigns x21, x19; loop variant x17-x21; */ for(int x21=0; x21 < x17; x21++) { int x23 = x19; int x22 = x16[x21]; int x29 = x22 > 0; int x30; if (x29) { x30 = 1; } else { x30 = 0; } int x31 = x23 + x30; x19 = x31; } int x35 = x19; return x35; }
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ requires inv_vec_Int(x16,x17); assigns \nothing; ensures inv_vec_Int(x16,x17); */
frama_c_files_v2/test_frama_c_1083.c
/*@ requires \valid(p); assigns \nothing; ensures \result == 42; */ int foo(int* p) { return 42; }
/*@ requires \valid(p); assigns \nothing; ensures \result == 42; */
int foo(int* p) { return 42; }
true
4
4
int foo(int* p) { return 42; }
/*@ requires \valid(p); assigns \nothing; ensures \result == 42; */
frama_c_files_v2/test_frama_c_1608.c
/*@ requires n >= 0; requires \valid(t+(0..(n-1))); behavior empty : assumes n==0; ensures \result==0; behavior not_empty: assumes n>0; ensures 0 <= \result < n; ensures \forall integer k; 0 <= k < n ==> t[k] >= t[\result]; ensures \forall integer k; 0 <= k < \result ==> t[k] > t[\result]; complete behaviors empty, not_empty; disjoint behaviors empty, not_empty; */ int min(int * t, int n) { if (n==0) { return 0; } else { int maxInd = 0; int i =0; /*@ loop assigns i, maxInd; loop invariant 0 <= i <= n; loop invariant 0 <= maxInd < n; loop invariant 0 <= maxInd <= i; loop invariant \forall integer k; 0 <= k < i ==> t[k] >= t[maxInd]; loop invariant \forall integer k; 0 <= k < maxInd ==> t[k] > t[maxInd]; loop variant n-i; */ for(i=0;i<n;i++) { if (t[i] < t[maxInd]) { maxInd = i; } } return maxInd; } }
/*@ requires n >= 0; requires \valid(t+(0..(n-1))); behavior empty : assumes n==0; ensures \result==0; behavior not_empty: assumes n>0; ensures 0 <= \result < n; ensures \forall integer k; 0 <= k < n ==> t[k] >= t[\result]; ensures \forall integer k; 0 <= k < \result ==> t[k] > t[\result]; complete behaviors empty, not_empty; disjoint behaviors empty, not_empty; */
int min(int * t, int n) { if (n==0) { return 0; } else { int maxInd = 0; int i =0; /*@ loop assigns i, maxInd; loop invariant 0 <= i <= n; loop invariant 0 <= maxInd < n; loop invariant 0 <= maxInd <= i; loop invariant \forall integer k; 0 <= k < i ==> t[k] >= t[maxInd]; loop invariant \forall integer k; 0 <= k < maxInd ==> t[k] > t[maxInd]; loop variant n-i; */ for(i=0;i<n;i++) { if (t[i] < t[maxInd]) { maxInd = i; } } return maxInd; } }
true
24
24
int min(int * t, int n) { if (n==0) { return 0; } else { int maxInd = 0; int i =0; /*@ loop assigns i, maxInd; loop invariant 0 <= i <= n; loop invariant 0 <= maxInd < n; loop invariant 0 <= maxInd <= i; loop invariant \forall integer k; 0 <= k < i ==> t[k] >= t[maxInd]; loop invariant \forall integer k; 0 <= k < maxInd ==> t[k] > t[maxInd]; loop variant n-i; */ for(i=0;i<n;i++) { if (t[i] < t[maxInd]) { maxInd = i; } } return maxInd; } }
/*@ requires n >= 0; requires \valid(t+(0..(n-1))); behavior empty : assumes n==0; ensures \result==0; behavior not_empty: assumes n>0; ensures 0 <= \result < n; ensures \forall integer k; 0 <= k < n ==> t[k] >= t[\result]; ensures \forall integer k; 0 <= k < \result ==> t[k] > t[\result]; complete behaviors empty, not_empty; disjoint behaviors empty, not_empty; */
frama_c_files_v2/test_frama_c_310.c
#include <string.h> /*@ logic integer cypher(integer s) = s==26 ? 0 : s+1; logic integer decypher(integer s) = s==0 ? 26 : s-1; */ /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == cypher(s); assigns \nothing; */ int cypher(int s) { return s==26 ? 0 : s+1; } /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == decypher(s); assigns \nothing; */ int decypher(int s) { return s==0 ? 26 : s-1; } /*@ requires n > 0; requires \valid(s1+(0..n-1)); requires \valid(s2+(0..n-1)); requires \valid(s3+(0..n-1)); requires \forall int i1,i2,i3; 0 <= i1 < n && 0 <= i2 < n && 0 <= i3 < n ==> \separated(s1+i1,s2+i2,s3+i3); requires \forall int i; 0 <= i < n ==> 0 <= s1[i] <= 26; ensures \forall int i; 0 <= i < n ==> s2[i]==cypher(s1[i]); ensures \forall int i; 0 <= i < n ==> 0 <= s2[i] <= 26; ensures \forall int i; 0 <= i < n ==> \old(s1[i])==s1[i]; ensures \forall int i; 0 <= i < n ==> \old(s3[i])==s3[i]; assigns s2[0..n-1]; */ void encode(int* s1, int* s2, int* s3, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall int j; 0 <= j < n ==> 0 <= s1[j] <= 26; loop invariant \forall int i; 0 <= i < n ==> \at(s1[i],Pre)==s1[i]; loop invariant \forall int i; 0 <= i < n ==> \at(s3[i],Pre)==s3[i]; loop invariant \forall int j; 0 <= j < i ==> s2[j]==cypher(s1[j]); loop assigns i, s2[0..n-1]; loop variant n - i; */ for (int i=0; i<n; i++) { s2[i] = cypher(s1[i]); } } /*@ requires n > 0; requires \valid(s1+(0..n-1)); requires \valid(s2+(0..n-1)); requires \valid(s3+(0..n-1)); requires \forall int i1,i2,i3; 0 <= i1 < n && 0 <= i2 < n && 0 <= i3 < n ==> \separated(s1+i1,s2+i2,s3+i3); requires \forall int i; 0 <= i < n ==> 0 <= s1[i] <= 26; ensures \forall int i; 0 <= i < n ==> s2[i]==decypher(s1[i]); ensures \forall int i; 0 <= i < n ==> 0 <= s2[i] <= 26; ensures \forall int i; 0 <= i < n ==> \old(s1[i])==s1[i]; ensures \forall int i; 0 <= i < n ==> \old(s3[i])==s3[i]; assigns s2[0..n-1]; */ void decode(int* s1, int* s2, int* s3, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall int j; 0 <= j < n ==> 0 <= s1[j] <= 26; loop invariant \forall int i; 0 <= i < n ==> \at(s1[i],Pre)==s1[i]; loop invariant \forall int i; 0 <= i < n ==> \at(s3[i],Pre)==s3[i]; loop invariant \forall int j; 0 <= j < i ==> s2[j]==decypher(s1[j]); loop assigns i, s2[0..n-1]; loop variant n - i; */ for (int i=0; i<n; i++) { s2[i] = decypher(s1[i]); } } /*@ requires n > 0; requires \valid(s1+(0..n-1)); requires \valid(s2+(0..n-1)); requires \valid(s3+(0..n-1)); requires \forall int i1,i2,i3; 0 <= i1 < n && 0 <= i2 < n && 0 <= i3 < n ==> \separated(s1+i1,s2+i2,s3+i3); requires \forall int i; 0 <= i < n ==> 0 <= s1[i] <= 26; ensures \forall int i; 0 <= i < n ==> s3[i]==s1[i]; ensures \forall int i; 0 <= i < n ==> \old(s1[i])==s1[i]; assigns s2[0..n-1], s3[0..n-1]; */ void autoencode(int* s1, int* s2, int* s3, int n) { encode(s1, s2, s3, n); decode(s2, s3, s1, n); //@assert \forall int i; 0 <= i < n ==> \at(s1[i],Pre)==s1[i]; //@assert \forall int i; 0 <= i < n ==> s2[i]==cypher(s1[i]); //@assert \forall int i; 0 <= i < n ==> s3[i]==decypher(s2[i]); //@assert \forall int i; 0 <= i < n ==> s3[i]==decypher(cypher(s1[i])); //@assert \forall int i; 0 <= i < n ==> s3[i]==s1[i]; }
#include <string.h> /*@ logic integer cypher(integer s) = s==26 ? 0 : s+1; logic integer decypher(integer s) = s==0 ? 26 : s-1; */ /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == cypher(s); assigns \nothing; */
int cypher(int s) { return s==26 ? 0 : s+1; }
true
7
7
int cypher(int s) { return s==26 ? 0 : s+1; }
#include <string.h> /*@ logic integer cypher(integer s) = s==26 ? 0 : s+1; logic integer decypher(integer s) = s==0 ? 26 : s-1; */ /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == cypher(s); assigns \nothing; */
frama_c_files_v2/test_frama_c_310.c
#include <string.h> /*@ logic integer cypher(integer s) = s==26 ? 0 : s+1; logic integer decypher(integer s) = s==0 ? 26 : s-1; */ /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == cypher(s); assigns \nothing; */ int cypher(int s) { return s==26 ? 0 : s+1; } /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == decypher(s); assigns \nothing; */ int decypher(int s) { return s==0 ? 26 : s-1; } /*@ requires n > 0; requires \valid(s1+(0..n-1)); requires \valid(s2+(0..n-1)); requires \valid(s3+(0..n-1)); requires \forall int i1,i2,i3; 0 <= i1 < n && 0 <= i2 < n && 0 <= i3 < n ==> \separated(s1+i1,s2+i2,s3+i3); requires \forall int i; 0 <= i < n ==> 0 <= s1[i] <= 26; ensures \forall int i; 0 <= i < n ==> s2[i]==cypher(s1[i]); ensures \forall int i; 0 <= i < n ==> 0 <= s2[i] <= 26; ensures \forall int i; 0 <= i < n ==> \old(s1[i])==s1[i]; ensures \forall int i; 0 <= i < n ==> \old(s3[i])==s3[i]; assigns s2[0..n-1]; */ void encode(int* s1, int* s2, int* s3, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall int j; 0 <= j < n ==> 0 <= s1[j] <= 26; loop invariant \forall int i; 0 <= i < n ==> \at(s1[i],Pre)==s1[i]; loop invariant \forall int i; 0 <= i < n ==> \at(s3[i],Pre)==s3[i]; loop invariant \forall int j; 0 <= j < i ==> s2[j]==cypher(s1[j]); loop assigns i, s2[0..n-1]; loop variant n - i; */ for (int i=0; i<n; i++) { s2[i] = cypher(s1[i]); } } /*@ requires n > 0; requires \valid(s1+(0..n-1)); requires \valid(s2+(0..n-1)); requires \valid(s3+(0..n-1)); requires \forall int i1,i2,i3; 0 <= i1 < n && 0 <= i2 < n && 0 <= i3 < n ==> \separated(s1+i1,s2+i2,s3+i3); requires \forall int i; 0 <= i < n ==> 0 <= s1[i] <= 26; ensures \forall int i; 0 <= i < n ==> s2[i]==decypher(s1[i]); ensures \forall int i; 0 <= i < n ==> 0 <= s2[i] <= 26; ensures \forall int i; 0 <= i < n ==> \old(s1[i])==s1[i]; ensures \forall int i; 0 <= i < n ==> \old(s3[i])==s3[i]; assigns s2[0..n-1]; */ void decode(int* s1, int* s2, int* s3, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall int j; 0 <= j < n ==> 0 <= s1[j] <= 26; loop invariant \forall int i; 0 <= i < n ==> \at(s1[i],Pre)==s1[i]; loop invariant \forall int i; 0 <= i < n ==> \at(s3[i],Pre)==s3[i]; loop invariant \forall int j; 0 <= j < i ==> s2[j]==decypher(s1[j]); loop assigns i, s2[0..n-1]; loop variant n - i; */ for (int i=0; i<n; i++) { s2[i] = decypher(s1[i]); } } /*@ requires n > 0; requires \valid(s1+(0..n-1)); requires \valid(s2+(0..n-1)); requires \valid(s3+(0..n-1)); requires \forall int i1,i2,i3; 0 <= i1 < n && 0 <= i2 < n && 0 <= i3 < n ==> \separated(s1+i1,s2+i2,s3+i3); requires \forall int i; 0 <= i < n ==> 0 <= s1[i] <= 26; ensures \forall int i; 0 <= i < n ==> s3[i]==s1[i]; ensures \forall int i; 0 <= i < n ==> \old(s1[i])==s1[i]; assigns s2[0..n-1], s3[0..n-1]; */ void autoencode(int* s1, int* s2, int* s3, int n) { encode(s1, s2, s3, n); decode(s2, s3, s1, n); //@assert \forall int i; 0 <= i < n ==> \at(s1[i],Pre)==s1[i]; //@assert \forall int i; 0 <= i < n ==> s2[i]==cypher(s1[i]); //@assert \forall int i; 0 <= i < n ==> s3[i]==decypher(s2[i]); //@assert \forall int i; 0 <= i < n ==> s3[i]==decypher(cypher(s1[i])); //@assert \forall int i; 0 <= i < n ==> s3[i]==s1[i]; }
#include <string.h> /*@ logic integer cypher(integer s) = s==26 ? 0 : s+1; logic integer decypher(integer s) = s==0 ? 26 : s-1; */ /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == cypher(s); assigns \nothing; */ int cypher(int s) { return s==26 ? 0 : s+1; } /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == decypher(s); assigns \nothing; */
int decypher(int s) { return s==0 ? 26 : s-1; }
true
14
14
int decypher(int s) { return s==0 ? 26 : s-1; }
#include <string.h> /*@ logic integer cypher(integer s) = s==26 ? 0 : s+1; logic integer decypher(integer s) = s==0 ? 26 : s-1; */ /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == cypher(s); assigns \nothing; */ int cypher(int s) { return s==26 ? 0 : s+1; } /*@ requires 0 <= s <= 26; ensures 0 <= \result <= 26; ensures \result == decypher(s); assigns \nothing; */
frama_c_files_v2/test_frama_c_353.c
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = @ \at(a[i],L1) == \at(a[j],L2) && @ \at(a[j],L1) == \at(a[i],L2) && @ \forall integer k; k != i && k != j @ ==> \at(a[k],L1) == \at(a[k],L2); @*/ /*@ predicate sorted(int *t,integer i,integer j) = @ \forall integer k, integer l; i <= k < l <= j ==> t[k] <= t[l]; @*/ /*@ requires N>=1 && \valid(A+(0..N-1)); @ assigns A[0..N-1]; @ ensures sorted(A,0,N-1); @*/ void selectionSort(int A[], int N) { int i, j, min, temp; /*@ loop assigns i,j,min,temp, A[0..N-1]; @ loop invariant 0<=i<=N-1 && sorted(A,0,i) && (\forall integer k1, integer k2; (0<=k1<i<k2<N)==>A[k1]<=A[k2]); @ loop variant N-i; @*/ for (i = 0; i < N-1; i++) { min = i; /*@ loop assigns j,min; @ loop invariant i+1<=j<=N && i<=min<j && (\forall integer k; (i<=k<j)==>A[min]<=A[k]); @ loop variant N-j; @*/ for (j = i+1; j < N; j++){ if (A[j] < A[min]){ min = j; } } if(min!=i){ temp = A[i]; A[i] = A[min]; A[min] = temp; } } }
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = @ \at(a[i],L1) == \at(a[j],L2) && @ \at(a[j],L1) == \at(a[i],L2) && @ \forall integer k; k != i && k != j @ ==> \at(a[k],L1) == \at(a[k],L2); @*/ /*@ predicate sorted(int *t,integer i,integer j) = @ \forall integer k, integer l; i <= k < l <= j ==> t[k] <= t[l]; @*/ /*@ requires N>=1 && \valid(A+(0..N-1)); @ assigns A[0..N-1]; @ ensures sorted(A,0,N-1); @*/
void selectionSort(int A[], int N) { int i, j, min, temp; /*@ loop assigns i,j,min,temp, A[0..N-1]; @ loop invariant 0<=i<=N-1 && sorted(A,0,i) && (\forall integer k1, integer k2; (0<=k1<i<k2<N)==>A[k1]<=A[k2]); @ loop variant N-i; @*/ for (i = 0; i < N-1; i++) { min = i; /*@ loop assigns j,min; @ loop invariant i+1<=j<=N && i<=min<j && (\forall integer k; (i<=k<j)==>A[min]<=A[k]); @ loop variant N-j; @*/ for (j = i+1; j < N; j++){ if (A[j] < A[min]){ min = j; } } if(min!=i){ temp = A[i]; A[i] = A[min]; A[min] = temp; } } }
true
28
28
void selectionSort(int A[], int N) { int i, j, min, temp; /*@ loop assigns i,j,min,temp, A[0..N-1]; @ loop invariant 0<=i<=N-1 && sorted(A,0,i) && (\forall integer k1, integer k2; (0<=k1<i<k2<N)==>A[k1]<=A[k2]); @ loop variant N-i; @*/ for (i = 0; i < N-1; i++) { min = i; /*@ loop assigns j,min; @ loop invariant i+1<=j<=N && i<=min<j && (\forall integer k; (i<=k<j)==>A[min]<=A[k]); @ loop variant N-j; @*/ for (j = i+1; j < N; j++){ if (A[j] < A[min]){ min = j; } } if(min!=i){ temp = A[i]; A[i] = A[min]; A[min] = temp; } } }
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = @ \at(a[i],L1) == \at(a[j],L2) && @ \at(a[j],L1) == \at(a[i],L2) && @ \forall integer k; k != i && k != j @ ==> \at(a[k],L1) == \at(a[k],L2); @*/ /*@ predicate sorted(int *t,integer i,integer j) = @ \forall integer k, integer l; i <= k < l <= j ==> t[k] <= t[l]; @*/ /*@ requires N>=1 && \valid(A+(0..N-1)); @ assigns A[0..N-1]; @ ensures sorted(A,0,N-1); @*/
frama_c_files_v2/test_frama_c_183.c
/*@ requires a_valid: \valid(a); requires b_valid: \valid(b); ensures a_value: *a == \at(*b, Pre); ensures b_value: *b == \at(*a, Pre); */ void swap(int* a, int* b) { int tmp = *a; *a = *b; *b = tmp; }
/*@ requires a_valid: \valid(a); requires b_valid: \valid(b); ensures a_value: *a == \at(*b, Pre); ensures b_value: *b == \at(*a, Pre); */
void swap(int* a, int* b) { int tmp = *a; *a = *b; *b = tmp; }
true
8
8
void swap(int* a, int* b) { int tmp = *a; *a = *b; *b = tmp; }
/*@ requires a_valid: \valid(a); requires b_valid: \valid(b); ensures a_value: *a == \at(*b, Pre); ensures b_value: *b == \at(*a, Pre); */
frama_c_files_v2/test_frama_c_963.c
/*@ requires y > 10; @ ensures \result >= 0; */ int g(int y){ int x=0; if(y>0){ x=100; x=x+50; x=x-100; }else{ x = x - 150; x=x-100; x=x+100; } return x; } int main(){ int a = g(11); return a; }
/*@ requires y > 10; @ ensures \result >= 0; */
int g(int y){ int x=0; if(y>0){ x=100; x=x+50; x=x-100; }else{ x = x - 150; x=x-100; x=x+100; } return x; }
true
8
8
int g(int y){ int x=0; if(y>0){ x=100; x=x+50; x=x-100; }else{ x = x - 150; x=x-100; x=x+100; } return x; }
/*@ requires y > 10; @ ensures \result >= 0; */
frama_c_files_v2/test_frama_c_132.c
#ifndef SPEC_SORTING_H #define SPEC_SORTING_H /*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = \at(a[i],L1) == \at(a[j],L2) && \at(a[j],L1) == \at(a[i],L2) && \forall integer k; k != i && k != j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive Permut{L1,L2}(int *a, integer l, integer h) { case Permut_refl{L}: \forall int *a, integer l, h; Permut{L,L}(a, l, h); case Permut_sym{L1,L2}: \forall int *a, integer l, h; Permut{L1,L2}(a, l, h) ==> Permut{L2,L1}(a, l, h); case Permut_trans{L1,L2,L3}: \forall int *a, integer l, h; Permut{L1,L2}(a, l, h) && Permut{L2,L3}(a, l, h) ==> Permut{L1,L3}(a, l, h); case Permut_swap{L1,L2}: \forall int *a, integer l, h, i, j; l <= i <= h && l <= j <= h && Swap{L1,L2}(a, i, j) ==> Permut{L1,L2}(a, l, h); } */ /*@ predicate Sorted{L}(int *a, integer l, integer h) = \forall integer i,j; l <= i <= j < h ==> a[i] <= a[j]; */ /*@ requires \valid(t+i); requires \valid(t+j); assigns t[i],t[j]; ensures Swap{Old,Here}(t,i,j); */ void sort_swap(int t[], int i, int j) { int tmp = t[i]; t[i] = t[j]; t[j] = tmp; } #endif
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = \at(a[i],L1) == \at(a[j],L2) && \at(a[j],L1) == \at(a[i],L2) && \forall integer k; k != i && k != j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive Permut{L1,L2}(int *a, integer l, integer h) { case Permut_refl{L}: \forall int *a, integer l, h; Permut{L,L}(a, l, h); case Permut_sym{L1,L2}: \forall int *a, integer l, h; Permut{L1,L2}(a, l, h) ==> Permut{L2,L1}(a, l, h); case Permut_trans{L1,L2,L3}: \forall int *a, integer l, h; Permut{L1,L2}(a, l, h) && Permut{L2,L3}(a, l, h) ==> Permut{L1,L3}(a, l, h); case Permut_swap{L1,L2}: \forall int *a, integer l, h, i, j; l <= i <= h && l <= j <= h && Swap{L1,L2}(a, i, j) ==> Permut{L1,L2}(a, l, h); } */ /*@ predicate Sorted{L}(int *a, integer l, integer h) = \forall integer i,j; l <= i <= j < h ==> a[i] <= a[j]; */ /*@ requires \valid(t+i); requires \valid(t+j); assigns t[i],t[j]; ensures Swap{Old,Here}(t,i,j); */
void sort_swap(int t[], int i, int j) { int tmp = t[i]; t[i] = t[j]; t[j] = tmp; }
true
9
9
void sort_swap(int t[], int i, int j) { int tmp = t[i]; t[i] = t[j]; t[j] = tmp; }
/*@ predicate Swap{L1,L2}(int *a, integer i, integer j) = \at(a[i],L1) == \at(a[j],L2) && \at(a[j],L1) == \at(a[i],L2) && \forall integer k; k != i && k != j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive Permut{L1,L2}(int *a, integer l, integer h) { case Permut_refl{L}: \forall int *a, integer l, h; Permut{L,L}(a, l, h); case Permut_sym{L1,L2}: \forall int *a, integer l, h; Permut{L1,L2}(a, l, h) ==> Permut{L2,L1}(a, l, h); case Permut_trans{L1,L2,L3}: \forall int *a, integer l, h; Permut{L1,L2}(a, l, h) && Permut{L2,L3}(a, l, h) ==> Permut{L1,L3}(a, l, h); case Permut_swap{L1,L2}: \forall int *a, integer l, h, i, j; l <= i <= h && l <= j <= h && Swap{L1,L2}(a, i, j) ==> Permut{L1,L2}(a, l, h); } */ /*@ predicate Sorted{L}(int *a, integer l, integer h) = \forall integer i,j; l <= i <= j < h ==> a[i] <= a[j]; */ /*@ requires \valid(t+i); requires \valid(t+j); assigns t[i],t[j]; ensures Swap{Old,Here}(t,i,j); */
frama_c_files_v2/test_frama_c_199.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_59.c
/*@ requires \valid(p) && \valid(q); ensures \result >= *p && \result >= *q; ensures \result == *p || \result == *q; */ int max_ptr ( int *p, int *q ) { *p = 0; *q = 0; return 0 ; }
/*@ requires \valid(p) && \valid(q); ensures \result >= *p && \result >= *q; ensures \result == *p || \result == *q; */
int max_ptr ( int *p, int *q ) { *p = 0; *q = 0; return 0 ; }
true
6
6
int max_ptr ( int *p, int *q ) { *p = 0; *q = 0; return 0 ; }
/*@ requires \valid(p) && \valid(q); ensures \result >= *p && \result >= *q; ensures \result == *p || \result == *q; */
frama_c_files_v2/test_frama_c_709.c
/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ predicate swap{L1,L2}(int* a,integer i,integer j,integer length)= 0<=i<j<length && \at(a[i],L1) == \at(a[j],L2) && \at(a[i],L2) == \at(a[j],L1) && \forall integer k; 0<=k<length && k!=i && k!=j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive same_elements{L1,L2}(int*a , integer length) { case refl{L}: \forall int*a, integer length; same_elements{L,L}(a,length); case swap{L1,L2}: \forall int*a, integer i,j,length; swap{L1,L2}(a,i,j,length) ==> same_elements{L1,L2}(a,length); case trans{L1,L2,L3}: \forall int*a, integer length; same_elements{L1,L2}(a,length) ==> same_elements{L2,L3}(a,length) ==> same_elements{L1,L3}(a,length); } */ /*@ requires \valid(a+(0..length-1)); requires length > 0; assigns a[0..length-1]; behavior sorted: ensures sorted(a,length); behavior same_elements: ensures same_elements{Pre,Here}(a,length); */ void sort (int* a, int length) { int current; /*@ loop invariant 0<=current<length; loop assigns a[0..length-1],current; for sorted: loop invariant sorted(a,current); for sorted: loop invariant \forall integer i,j; 0<=i<current<=j<length ==> a[i] <= a[j]; for same_elements: loop invariant same_elements{Pre,Here}(a,length); loop variant length-current; */ for (current = 0; current < length - 1; current++) { int min_idx = current; int min = a[current]; /*@ loop invariant current+1<=i<=length; loop assigns i,min,min_idx; loop invariant current<=min_idx<i; loop invariant a[min_idx] == min; for sorted: loop invariant \forall integer j; current<=j<i ==> min <= a[j]; loop variant length -i; */ for (int i = current + 1; i < length; i++) { if (a[i] < min) { min = a[i]; min_idx = i; } } if(min_idx != current) { L: a[min_idx]=a[current]; a[current]=min; /*@for same_elements:assert swap{L,Here}(a,current,min_idx,length);*/ } } }
/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ predicate swap{L1,L2}(int* a,integer i,integer j,integer length)= 0<=i<j<length && \at(a[i],L1) == \at(a[j],L2) && \at(a[i],L2) == \at(a[j],L1) && \forall integer k; 0<=k<length && k!=i && k!=j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive same_elements{L1,L2}(int*a , integer length) { case refl{L}: \forall int*a, integer length; same_elements{L,L}(a,length); case swap{L1,L2}: \forall int*a, integer i,j,length; swap{L1,L2}(a,i,j,length) ==> same_elements{L1,L2}(a,length); case trans{L1,L2,L3}: \forall int*a, integer length; same_elements{L1,L2}(a,length) ==> same_elements{L2,L3}(a,length) ==> same_elements{L1,L3}(a,length); } */ /*@ requires \valid(a+(0..length-1)); requires length > 0; assigns a[0..length-1]; behavior sorted: ensures sorted(a,length); behavior same_elements: ensures same_elements{Pre,Here}(a,length); */
void sort (int* a, int length) { int current; /*@ loop invariant 0<=current<length; loop assigns a[0..length-1],current; for sorted: loop invariant sorted(a,current); for sorted: loop invariant \forall integer i,j; 0<=i<current<=j<length ==> a[i] <= a[j]; for same_elements: loop invariant same_elements{Pre,Here}(a,length); loop variant length-current; */ for (current = 0; current < length - 1; current++) { int min_idx = current; int min = a[current]; /*@ loop invariant current+1<=i<=length; loop assigns i,min,min_idx; loop invariant current<=min_idx<i; loop invariant a[min_idx] == min; for sorted: loop invariant \forall integer j; current<=j<i ==> min <= a[j]; loop variant length -i; */ for (int i = current + 1; i < length; i++) { if (a[i] < min) { min = a[i]; min_idx = i; } } if(min_idx != current) { L: a[min_idx]=a[current]; a[current]=min; /*@for same_elements:assert swap{L,Here}(a,current,min_idx,length);*/ } } }
true
43
43
void sort (int* a, int length) { int current; /*@ loop invariant 0<=current<length; loop assigns a[0..length-1],current; for sorted: loop invariant sorted(a,current); for sorted: loop invariant \forall integer i,j; 0<=i<current<=j<length ==> a[i] <= a[j]; for same_elements: loop invariant same_elements{Pre,Here}(a,length); loop variant length-current; */ for (current = 0; current < length - 1; current++) { int min_idx = current; int min = a[current]; /*@ loop invariant current+1<=i<=length; loop assigns i,min,min_idx; loop invariant current<=min_idx<i; loop invariant a[min_idx] == min; for sorted: loop invariant \forall integer j; current<=j<i ==> min <= a[j]; loop variant length -i; */ for (int i = current + 1; i < length; i++) { if (a[i] < min) { min = a[i]; min_idx = i; } } if(min_idx != current) { L: a[min_idx]=a[current]; a[current]=min; /*@for same_elements:assert swap{L,Here}(a,current,min_idx,length);*/ } } }
/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ predicate swap{L1,L2}(int* a,integer i,integer j,integer length)= 0<=i<j<length && \at(a[i],L1) == \at(a[j],L2) && \at(a[i],L2) == \at(a[j],L1) && \forall integer k; 0<=k<length && k!=i && k!=j ==> \at(a[k],L1) == \at(a[k],L2); */ /*@ inductive same_elements{L1,L2}(int*a , integer length) { case refl{L}: \forall int*a, integer length; same_elements{L,L}(a,length); case swap{L1,L2}: \forall int*a, integer i,j,length; swap{L1,L2}(a,i,j,length) ==> same_elements{L1,L2}(a,length); case trans{L1,L2,L3}: \forall int*a, integer length; same_elements{L1,L2}(a,length) ==> same_elements{L2,L3}(a,length) ==> same_elements{L1,L3}(a,length); } */ /*@ requires \valid(a+(0..length-1)); requires length > 0; assigns a[0..length-1]; behavior sorted: ensures sorted(a,length); behavior same_elements: ensures same_elements{Pre,Here}(a,length); */
frama_c_files_v2/test_frama_c_2218.c
#include <limits.h> /*@ requires ((((((((0<x0) && (x0<100)) && (0<x1)) && (x1<100)) && (0<=x2)) && (0<=x3)) && (x2<x0)) && (x3<x1)); assigns \nothing; ensures ((0<=\result) && (\result<(x0*x1))); */ int index(int x0, int x1, int x2, int x3) { int x5 = x2 * x1; int x6 = x5 + x3; return x6; } /*@ predicate inv_matrix_Boolean(int * x26, integer x27, integer x28) = (((((x27<100) && (x28<100)) && (0<x27)) && (0<x28)) && (((x27*x28)>0) && \valid(x26+(0..(x27*x28)-1))));*/ /*@ requires (((((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && ((x70==x64) && (x71==x65))) && ((x70==x67) && (x71==x68))) && ((\forall int x121; (\forall int x122; ((((0<=x121) && (x121<(x70*x71))) && ((0<=x122) && (x122<(x64*x65)))) ==> \separated(x69+x121,x63+x122)))) && (\forall int x136; (\forall int x137; ((((0<=x136) && (x136<(x70*x71))) && ((0<=x137) && (x137<(x67*x68)))) ==> \separated(x69+x136,x66+x137)))))); ensures (((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && (\forall int x157; (((0<=x157) && (x157<(x70*x71))) ==> (x69[x157]==(x63[x157] || x66[x157]))))); */ void add(int * x63, int x64, int x65, int * x66, int x67, int x68, int * x69, int x70, int x71) { /*@assert \separated(x69+0,x63+0);*/ /*@assert \separated(x69+0,x66+0);*/ int x73 = x70 * x71; /*@ loop invariant 0<=x81<=x73; loop invariant (\forall int x82; (((0<=x82) && (x82<x81)) ==> (x69[x82]==(x63[x82] || x66[x82])))); loop assigns x81, x69[(0..x73-1)]; loop variant x73-x81; */ for(int x81=0; x81 < x73; x81++) { int x94 = x63[x81]; int x95 = x66[x81]; int x96 = x94 || x95; x69[x81] = x96; /*@assert \separated(x69+x81,x63+x81);*/ /*@assert \separated(x69+x81,x66+x81);*/ } } /*@ requires (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && ((x176==x173) && (x177==x174))) && (\forall int x213; (\forall int x214; ((((0<=x213) && (x213<(x176*x177))) && ((0<=x214) && (x214<(x173*x174)))) ==> \separated(x175+x213,x172+x214))))); ensures (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && (\forall int x233; (((0<=x233) && (x233<(x176*x177))) ==> (x175[x233]==(x171 && x172[x233]))))) && ((x171==\false) ==> (\forall int x247; (0<=x247<x176) ==> (\forall int x250; (0<=x250<x177) ==> (x175[((x247*x177)+x250)]==\false))))); */ void scalar_mult(int x171, int * x172, int x173, int x174, int * x175, int x176, int x177) { /*@assert \separated(x175+0,x172+0);*/ int x179 = x176 * x177; /*@ loop invariant 0<=x184<=x179; loop invariant (\forall int x185; (((0<=x185) && (x185<x184)) ==> (x175[x185]==(x171 && x172[x185])))); loop assigns x184, x175[(0..x179-1)]; loop variant x179-x184; */ for(int x184=0; x184 < x179; x184++) { int x197; if (x171) { int x196 = x172[x184]; x197 = x196; } else { x197 = 0/*false*/; } x175[x184] = x197; /*@assert \separated(x175+x184,x172+x184);*/ } }
#include <limits.h> /*@ requires ((((((((0<x0) && (x0<100)) && (0<x1)) && (x1<100)) && (0<=x2)) && (0<=x3)) && (x2<x0)) && (x3<x1)); assigns \nothing; ensures ((0<=\result) && (\result<(x0*x1))); */ int index(int x0, int x1, int x2, int x3) { int x5 = x2 * x1; int x6 = x5 + x3; return x6; } /*@ predicate inv_matrix_Boolean(int * x26, integer x27, integer x28) = (((((x27<100) && (x28<100)) && (0<x27)) && (0<x28)) && (((x27*x28)>0) && \valid(x26+(0..(x27*x28)-1))));*/ /*@ requires (((((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && ((x70==x64) && (x71==x65))) && ((x70==x67) && (x71==x68))) && ((\forall int x121; (\forall int x122; ((((0<=x121) && (x121<(x70*x71))) && ((0<=x122) && (x122<(x64*x65)))) ==> \separated(x69+x121,x63+x122)))) && (\forall int x136; (\forall int x137; ((((0<=x136) && (x136<(x70*x71))) && ((0<=x137) && (x137<(x67*x68)))) ==> \separated(x69+x136,x66+x137)))))); ensures (((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && (\forall int x157; (((0<=x157) && (x157<(x70*x71))) ==> (x69[x157]==(x63[x157] || x66[x157]))))); */
void add(int * x63, int x64, int x65, int * x66, int x67, int x68, int * x69, int x70, int x71) { /*@assert \separated(x69+0,x63+0);*/ /*@assert \separated(x69+0,x66+0);*/ int x73 = x70 * x71; /*@ loop invariant 0<=x81<=x73; loop invariant (\forall int x82; (((0<=x82) && (x82<x81)) ==> (x69[x82]==(x63[x82] || x66[x82])))); loop assigns x81, x69[(0..x73-1)]; loop variant x73-x81; */ for(int x81=0; x81 < x73; x81++) { int x94 = x63[x81]; int x95 = x66[x81]; int x96 = x94 || x95; x69[x81] = x96; /*@assert \separated(x69+x81,x63+x81);*/ /*@assert \separated(x69+x81,x66+x81);*/ } }
true
33
33
void add(int * x63, int x64, int x65, int * x66, int x67, int x68, int * x69, int x70, int x71) { /*@assert \separated(x69+0,x63+0);*/ /*@assert \separated(x69+0,x66+0);*/ int x73 = x70 * x71; /*@ loop invariant 0<=x81<=x73; loop invariant (\forall int x82; (((0<=x82) && (x82<x81)) ==> (x69[x82]==(x63[x82] || x66[x82])))); loop assigns x81, x69[(0..x73-1)]; loop variant x73-x81; */ for(int x81=0; x81 < x73; x81++) { int x94 = x63[x81]; int x95 = x66[x81]; int x96 = x94 || x95; x69[x81] = x96; /*@assert \separated(x69+x81,x63+x81);*/ /*@assert \separated(x69+x81,x66+x81);*/ } }
#include <limits.h> /*@ requires ((((((((0<x0) && (x0<100)) && (0<x1)) && (x1<100)) && (0<=x2)) && (0<=x3)) && (x2<x0)) && (x3<x1)); assigns \nothing; ensures ((0<=\result) && (\result<(x0*x1))); */ int index(int x0, int x1, int x2, int x3) { int x5 = x2 * x1; int x6 = x5 + x3; return x6; } /*@ predicate inv_matrix_Boolean(int * x26, integer x27, integer x28) = (((((x27<100) && (x28<100)) && (0<x27)) && (0<x28)) && (((x27*x28)>0) && \valid(x26+(0..(x27*x28)-1))));*/ /*@ requires (((((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && ((x70==x64) && (x71==x65))) && ((x70==x67) && (x71==x68))) && ((\forall int x121; (\forall int x122; ((((0<=x121) && (x121<(x70*x71))) && ((0<=x122) && (x122<(x64*x65)))) ==> \separated(x69+x121,x63+x122)))) && (\forall int x136; (\forall int x137; ((((0<=x136) && (x136<(x70*x71))) && ((0<=x137) && (x137<(x67*x68)))) ==> \separated(x69+x136,x66+x137)))))); ensures (((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && (\forall int x157; (((0<=x157) && (x157<(x70*x71))) ==> (x69[x157]==(x63[x157] || x66[x157]))))); */
frama_c_files_v2/test_frama_c_2218.c
#include <limits.h> /*@ requires ((((((((0<x0) && (x0<100)) && (0<x1)) && (x1<100)) && (0<=x2)) && (0<=x3)) && (x2<x0)) && (x3<x1)); assigns \nothing; ensures ((0<=\result) && (\result<(x0*x1))); */ int index(int x0, int x1, int x2, int x3) { int x5 = x2 * x1; int x6 = x5 + x3; return x6; } /*@ predicate inv_matrix_Boolean(int * x26, integer x27, integer x28) = (((((x27<100) && (x28<100)) && (0<x27)) && (0<x28)) && (((x27*x28)>0) && \valid(x26+(0..(x27*x28)-1))));*/ /*@ requires (((((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && ((x70==x64) && (x71==x65))) && ((x70==x67) && (x71==x68))) && ((\forall int x121; (\forall int x122; ((((0<=x121) && (x121<(x70*x71))) && ((0<=x122) && (x122<(x64*x65)))) ==> \separated(x69+x121,x63+x122)))) && (\forall int x136; (\forall int x137; ((((0<=x136) && (x136<(x70*x71))) && ((0<=x137) && (x137<(x67*x68)))) ==> \separated(x69+x136,x66+x137)))))); ensures (((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && (\forall int x157; (((0<=x157) && (x157<(x70*x71))) ==> (x69[x157]==(x63[x157] || x66[x157]))))); */ void add(int * x63, int x64, int x65, int * x66, int x67, int x68, int * x69, int x70, int x71) { /*@assert \separated(x69+0,x63+0);*/ /*@assert \separated(x69+0,x66+0);*/ int x73 = x70 * x71; /*@ loop invariant 0<=x81<=x73; loop invariant (\forall int x82; (((0<=x82) && (x82<x81)) ==> (x69[x82]==(x63[x82] || x66[x82])))); loop assigns x81, x69[(0..x73-1)]; loop variant x73-x81; */ for(int x81=0; x81 < x73; x81++) { int x94 = x63[x81]; int x95 = x66[x81]; int x96 = x94 || x95; x69[x81] = x96; /*@assert \separated(x69+x81,x63+x81);*/ /*@assert \separated(x69+x81,x66+x81);*/ } } /*@ requires (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && ((x176==x173) && (x177==x174))) && (\forall int x213; (\forall int x214; ((((0<=x213) && (x213<(x176*x177))) && ((0<=x214) && (x214<(x173*x174)))) ==> \separated(x175+x213,x172+x214))))); ensures (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && (\forall int x233; (((0<=x233) && (x233<(x176*x177))) ==> (x175[x233]==(x171 && x172[x233]))))) && ((x171==\false) ==> (\forall int x247; (0<=x247<x176) ==> (\forall int x250; (0<=x250<x177) ==> (x175[((x247*x177)+x250)]==\false))))); */ void scalar_mult(int x171, int * x172, int x173, int x174, int * x175, int x176, int x177) { /*@assert \separated(x175+0,x172+0);*/ int x179 = x176 * x177; /*@ loop invariant 0<=x184<=x179; loop invariant (\forall int x185; (((0<=x185) && (x185<x184)) ==> (x175[x185]==(x171 && x172[x185])))); loop assigns x184, x175[(0..x179-1)]; loop variant x179-x184; */ for(int x184=0; x184 < x179; x184++) { int x197; if (x171) { int x196 = x172[x184]; x197 = x196; } else { x197 = 0/*false*/; } x175[x184] = x197; /*@assert \separated(x175+x184,x172+x184);*/ } }
#include <limits.h> /*@ requires ((((((((0<x0) && (x0<100)) && (0<x1)) && (x1<100)) && (0<=x2)) && (0<=x3)) && (x2<x0)) && (x3<x1)); assigns \nothing; ensures ((0<=\result) && (\result<(x0*x1))); */ int index(int x0, int x1, int x2, int x3) { int x5 = x2 * x1; int x6 = x5 + x3; return x6; } /*@ predicate inv_matrix_Boolean(int * x26, integer x27, integer x28) = (((((x27<100) && (x28<100)) && (0<x27)) && (0<x28)) && (((x27*x28)>0) && \valid(x26+(0..(x27*x28)-1))));*/ /*@ requires (((((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && ((x70==x64) && (x71==x65))) && ((x70==x67) && (x71==x68))) && ((\forall int x121; (\forall int x122; ((((0<=x121) && (x121<(x70*x71))) && ((0<=x122) && (x122<(x64*x65)))) ==> \separated(x69+x121,x63+x122)))) && (\forall int x136; (\forall int x137; ((((0<=x136) && (x136<(x70*x71))) && ((0<=x137) && (x137<(x67*x68)))) ==> \separated(x69+x136,x66+x137)))))); ensures (((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && (\forall int x157; (((0<=x157) && (x157<(x70*x71))) ==> (x69[x157]==(x63[x157] || x66[x157]))))); */ void add(int * x63, int x64, int x65, int * x66, int x67, int x68, int * x69, int x70, int x71) { /*@assert \separated(x69+0,x63+0);*/ /*@assert \separated(x69+0,x66+0);*/ int x73 = x70 * x71; /*@ loop invariant 0<=x81<=x73; loop invariant (\forall int x82; (((0<=x82) && (x82<x81)) ==> (x69[x82]==(x63[x82] || x66[x82])))); loop assigns x81, x69[(0..x73-1)]; loop variant x73-x81; */ for(int x81=0; x81 < x73; x81++) { int x94 = x63[x81]; int x95 = x66[x81]; int x96 = x94 || x95; x69[x81] = x96; /*@assert \separated(x69+x81,x63+x81);*/ /*@assert \separated(x69+x81,x66+x81);*/ } } /*@ requires (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && ((x176==x173) && (x177==x174))) && (\forall int x213; (\forall int x214; ((((0<=x213) && (x213<(x176*x177))) && ((0<=x214) && (x214<(x173*x174)))) ==> \separated(x175+x213,x172+x214))))); ensures (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && (\forall int x233; (((0<=x233) && (x233<(x176*x177))) ==> (x175[x233]==(x171 && x172[x233]))))) && ((x171==\false) ==> (\forall int x247; (0<=x247<x176) ==> (\forall int x250; (0<=x250<x177) ==> (x175[((x247*x177)+x250)]==\false))))); */
void scalar_mult(int x171, int * x172, int x173, int x174, int * x175, int x176, int x177) { /*@assert \separated(x175+0,x172+0);*/ int x179 = x176 * x177; /*@ loop invariant 0<=x184<=x179; loop invariant (\forall int x185; (((0<=x185) && (x185<x184)) ==> (x175[x185]==(x171 && x172[x185])))); loop assigns x184, x175[(0..x179-1)]; loop variant x179-x184; */ for(int x184=0; x184 < x179; x184++) { int x197; if (x171) { int x196 = x172[x184]; x197 = x196; } else { x197 = 0/*false*/; } x175[x184] = x197; /*@assert \separated(x175+x184,x172+x184);*/ } }
true
54
54
void scalar_mult(int x171, int * x172, int x173, int x174, int * x175, int x176, int x177) { /*@assert \separated(x175+0,x172+0);*/ int x179 = x176 * x177; /*@ loop invariant 0<=x184<=x179; loop invariant (\forall int x185; (((0<=x185) && (x185<x184)) ==> (x175[x185]==(x171 && x172[x185])))); loop assigns x184, x175[(0..x179-1)]; loop variant x179-x184; */ for(int x184=0; x184 < x179; x184++) { int x197; if (x171) { int x196 = x172[x184]; x197 = x196; } else { x197 = 0/*false*/; } x175[x184] = x197; /*@assert \separated(x175+x184,x172+x184);*/ } }
#include <limits.h> /*@ requires ((((((((0<x0) && (x0<100)) && (0<x1)) && (x1<100)) && (0<=x2)) && (0<=x3)) && (x2<x0)) && (x3<x1)); assigns \nothing; ensures ((0<=\result) && (\result<(x0*x1))); */ int index(int x0, int x1, int x2, int x3) { int x5 = x2 * x1; int x6 = x5 + x3; return x6; } /*@ predicate inv_matrix_Boolean(int * x26, integer x27, integer x28) = (((((x27<100) && (x28<100)) && (0<x27)) && (0<x28)) && (((x27*x28)>0) && \valid(x26+(0..(x27*x28)-1))));*/ /*@ requires (((((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && ((x70==x64) && (x71==x65))) && ((x70==x67) && (x71==x68))) && ((\forall int x121; (\forall int x122; ((((0<=x121) && (x121<(x70*x71))) && ((0<=x122) && (x122<(x64*x65)))) ==> \separated(x69+x121,x63+x122)))) && (\forall int x136; (\forall int x137; ((((0<=x136) && (x136<(x70*x71))) && ((0<=x137) && (x137<(x67*x68)))) ==> \separated(x69+x136,x66+x137)))))); ensures (((inv_matrix_Boolean(x63,x64,x65) && inv_matrix_Boolean(x66,x67,x68)) && inv_matrix_Boolean(x69,x70,x71)) && (\forall int x157; (((0<=x157) && (x157<(x70*x71))) ==> (x69[x157]==(x63[x157] || x66[x157]))))); */ void add(int * x63, int x64, int x65, int * x66, int x67, int x68, int * x69, int x70, int x71) { /*@assert \separated(x69+0,x63+0);*/ /*@assert \separated(x69+0,x66+0);*/ int x73 = x70 * x71; /*@ loop invariant 0<=x81<=x73; loop invariant (\forall int x82; (((0<=x82) && (x82<x81)) ==> (x69[x82]==(x63[x82] || x66[x82])))); loop assigns x81, x69[(0..x73-1)]; loop variant x73-x81; */ for(int x81=0; x81 < x73; x81++) { int x94 = x63[x81]; int x95 = x66[x81]; int x96 = x94 || x95; x69[x81] = x96; /*@assert \separated(x69+x81,x63+x81);*/ /*@assert \separated(x69+x81,x66+x81);*/ } } /*@ requires (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && ((x176==x173) && (x177==x174))) && (\forall int x213; (\forall int x214; ((((0<=x213) && (x213<(x176*x177))) && ((0<=x214) && (x214<(x173*x174)))) ==> \separated(x175+x213,x172+x214))))); ensures (((inv_matrix_Boolean(x172,x173,x174) && inv_matrix_Boolean(x175,x176,x177)) && (\forall int x233; (((0<=x233) && (x233<(x176*x177))) ==> (x175[x233]==(x171 && x172[x233]))))) && ((x171==\false) ==> (\forall int x247; (0<=x247<x176) ==> (\forall int x250; (0<=x250<x177) ==> (x175[((x247*x177)+x250)]==\false))))); */
frama_c_files_v2/test_frama_c_1640.c
//binary search /*@ requires n>0; requires \valid_read(arr+(0..n-1)); requires val>0; behavior notfound: assumes \forall integer nf; 0<=nf<n ==> arr[nf]!= val; ensures \result == 0; behavior found: assumes \exists integer f; 0<=f<n && arr[f]==val; ensures \result == 1; complete behaviors; disjoint behaviors; */ int Linear(int arr[], int n, int val){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer k; 0<=k<i ==> arr[k]!=val; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(val==arr[i]){ return 1; } } return 0; }
/*@ requires n>0; requires \valid_read(arr+(0..n-1)); requires val>0; behavior notfound: assumes \forall integer nf; 0<=nf<n ==> arr[nf]!= val; ensures \result == 0; behavior found: assumes \exists integer f; 0<=f<n && arr[f]==val; ensures \result == 1; complete behaviors; disjoint behaviors; */
int Linear(int arr[], int n, int val){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer k; 0<=k<i ==> arr[k]!=val; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(val==arr[i]){ return 1; } } return 0; }
true
15
15
int Linear(int arr[], int n, int val){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer k; 0<=k<i ==> arr[k]!=val; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(val==arr[i]){ return 1; } } return 0; }
/*@ requires n>0; requires \valid_read(arr+(0..n-1)); requires val>0; behavior notfound: assumes \forall integer nf; 0<=nf<n ==> arr[nf]!= val; ensures \result == 0; behavior found: assumes \exists integer f; 0<=f<n && arr[f]==val; ensures \result == 1; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_2195.c
/*@ requires \valid(a + (0..n-1)); assigns a[0..n]; // should be a[0..n-1] */ void foo(int* a, unsigned int n) { /*@ loop invariant 0 <= i <= n; loop assigns i, a[0..n]; // should be a[0..n-1]; loop variant n-i; */ for(unsigned int i = 0; i < n; ++i) a[i] = 0; }
/*@ requires \valid(a + (0..n-1)); assigns a[0..n]; // should be a[0..n-1] */
void foo(int* a, unsigned int n) { /*@ loop invariant 0 <= i <= n; loop assigns i, a[0..n]; // should be a[0..n-1]; loop variant n-i; */ for(unsigned int i = 0; i < n; ++i) a[i] = 0; }
true
11
11
void foo(int* a, unsigned int n) { /*@ loop invariant 0 <= i <= n; loop assigns i, a[0..n]; // should be a[0..n-1]; loop variant n-i; */ for(unsigned int i = 0; i < n; ++i) a[i] = 0; }
/*@ requires \valid(a + (0..n-1)); assigns a[0..n]; // should be a[0..n-1] */
frama_c_files_v2/test_frama_c_1519.c
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */ int matcher_a_end(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x20; if (x16) { char *x17 = x11+1; char x18 = x17[0]; int x19 = x18 == '\0'; x20 = x19; } else { x20 = 0/*false*/; } x2 = x20; int x22 = x2; if (x22) { } else { int x14 = !x13; x3 = x14; int x25 = x3; if (x25) { char *x17 = x11+1; x4 = x17; } else { } } } int x56 = x2; return x56; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */
int matcher_a_end(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x20; if (x16) { char *x17 = x11+1; char x18 = x17[0]; int x19 = x18 == '\0'; x20 = x19; } else { x20 = 0/*false*/; } x2 = x20; int x22 = x2; if (x22) { } else { int x14 = !x13; x3 = x14; int x25 = x3; if (x25) { char *x17 = x11+1; x4 = x17; } else { } } } int x56 = x2; return x56; }
true
15
15
int matcher_a_end(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x20; if (x16) { char *x17 = x11+1; char x18 = x17[0]; int x19 = x18 == '\0'; x20 = x19; } else { x20 = 0/*false*/; } x2 = x20; int x22 = x2; if (x22) { } else { int x14 = !x13; x3 = x14; int x25 = x3; if (x25) { char *x17 = x11+1; x4 = x17; } else { } } } int x56 = x2; return x56; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */
frama_c_files_v2/test_frama_c_442.c
/*@ requires 0<=first<=180 && 0<=second<=180; ensures \result + first + second == 180; */ int last_angle(int first,int second){ return 180 - first - second; }
/*@ requires 0<=first<=180 && 0<=second<=180; ensures \result + first + second == 180; */
int last_angle(int first,int second){ return 180 - first - second; }
true
6
6
int last_angle(int first,int second){ return 180 - first - second; }
/*@ requires 0<=first<=180 && 0<=second<=180; ensures \result + first + second == 180; */
frama_c_files_v2/test_frama_c_1143.c
#include <limits.h> /*@ requires (x0<INT_MAX); assigns \nothing; ensures (\result>x0); */ int inc(int x0) { int x2 = x0 + 1; return x2; }
#include <limits.h> /*@ requires (x0<INT_MAX); assigns \nothing; ensures (\result>x0); */
int inc(int x0) { int x2 = x0 + 1; return x2; }
true
5
5
int inc(int x0) { int x2 = x0 + 1; return x2; }
#include <limits.h> /*@ requires (x0<INT_MAX); assigns \nothing; ensures (\result>x0); */
frama_c_files_v2/test_frama_c_1091.c
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */ int matcher_a(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x18; if (x16) { x18 = 1/*true*/; } else { x18 = 0/*false*/; } x2 = x18; int x20 = x2; if (x20) { } else { int x14 = !x13; x3 = x14; int x23 = x3; if (x23) { char *x17 = x11+1; x4 = x17; } else { } } } int x54 = x2; return x54; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */
int matcher_a(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x18; if (x16) { x18 = 1/*true*/; } else { x18 = 0/*false*/; } x2 = x18; int x20 = x2; if (x20) { } else { int x14 = !x13; x3 = x14; int x23 = x3; if (x23) { char *x17 = x11+1; x4 = x17; } else { } } } int x54 = x2; return x54; }
true
14
14
int matcher_a(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x18; if (x16) { x18 = 1/*true*/; } else { x18 = 0/*false*/; } x2 = x18; int x20 = x2; if (x20) { } else { int x14 = !x13; x3 = x14; int x23 = x3; if (x23) { char *x17 = x11+1; x4 = x17; } else { } } } int x54 = x2; return x54; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */
frama_c_files_v2/test_frama_c_1587.c
#include <stdio.h> /*@ requires a >= 0 && b > 0; @ requires \valid(r); @ assigns *r; @ ensures a == b * \result + *r; */ int idiv(int a, int b, int *r) { int q = 0; int p = a; /*@ assert a == b * q + p;*/ /*@ loop invariant a == b * q + p; @ loop assigns q, p; @ loop variant p; */ while (p >= b) { q++; p -= b; } *r = p; return q; } /* int main(int argc, char** argv) { int r = 0; int q = idiv(5, 2, &r); printf("q=%d, r=%d\n", q,r ); return 0; }*/
#include <stdio.h> /*@ requires a >= 0 && b > 0; @ requires \valid(r); @ assigns *r; @ ensures a == b * \result + *r; */
int idiv(int a, int b, int *r) { int q = 0; int p = a; /*@ assert a == b * q + p;*/ /*@ loop invariant a == b * q + p; @ loop assigns q, p; @ loop variant p; */ while (p >= b) { q++; p -= b; } *r = p; return q; }
true
15
15
int idiv(int a, int b, int *r) { int q = 0; int p = a; /*@ assert a == b * q + p;*/ /*@ loop invariant a == b * q + p; @ loop assigns q, p; @ loop variant p; */ while (p >= b) { q++; p -= b; } *r = p; return q; }
#include <stdio.h> /*@ requires a >= 0 && b > 0; @ requires \valid(r); @ assigns *r; @ ensures a == b * \result + *r; */
frama_c_files_v2/test_frama_c_1041.c
/* run.config OPT: -wp-no-print -wp-rte */ /* run.config_qualif OPT: -then -wp-rte -wp */ /* ************/ /* Solution de TP donné par Julien à L'IFIPS */ /* ************/ /* Questions: 1. Informellement, que calcule cette fonction? 2. Donner une spécification en ACSL de cette fonction. 3. Prouver cette fonction avec WP et Alt-Ergo. La preuve doit inclure la terminaison et l'absence d'erreur à l'exécution. */ /*@ requires len > 0; @ requires \valid(a+(0..len-1)); @ ensures 0 <= \result < len; @ ensures \forall integer i; 0 <= i < len ==> a[i] <= a[\result]; @ assigns \nothing; */ int exo1(int *a, int len) { int i = 0, j = len - 1; /*@ loop invariant 0 <= i <= j < len; @ loop invariant @ \forall integer k; @ (0 <= k < i || j < k < len) @ ==> (a[k] <= a[i] || a[k] <= a[j]); @ loop assigns i, j; @ loop variant j - i; */ while (i < j) if (a[i] <= a[j]) i++; else j--; return i; }
/*@ requires len > 0; @ requires \valid(a+(0..len-1)); @ ensures 0 <= \result < len; @ ensures \forall integer i; 0 <= i < len ==> a[i] <= a[\result]; @ assigns \nothing; */
int exo1(int *a, int len) { int i = 0, j = len - 1; /*@ loop invariant 0 <= i <= j < len; @ loop invariant @ \forall integer k; @ (0 <= k < i || j < k < len) @ ==> (a[k] <= a[i] || a[k] <= a[j]); @ loop assigns i, j; @ loop variant j - i; */ while (i < j) if (a[i] <= a[j]) i++; else j--; return i; }
true
17
17
int exo1(int *a, int len) { int i = 0, j = len - 1; /*@ loop invariant 0 <= i <= j < len; @ loop invariant @ \forall integer k; @ (0 <= k < i || j < k < len) @ ==> (a[k] <= a[i] || a[k] <= a[j]); @ loop assigns i, j; @ loop variant j - i; */ while (i < j) if (a[i] <= a[j]) i++; else j--; return i; }
/*@ requires len > 0; @ requires \valid(a+(0..len-1)); @ ensures 0 <= \result < len; @ ensures \forall integer i; 0 <= i < len ==> a[i] <= a[\result]; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_1037.c
#include <limits.h> #include <string.h> /*@ logic integer cypher(int x0) = (((x0==26)) ? (0) : ((x0+1)));*/ /*@ requires ((0<=x0) && (x0<=26)); assigns \nothing; ensures ((0<=\result) && (\result<=26)); ensures \result == cypher(x0); */ int cypher(int x0) { int x2 = x0 == 26; int x4; if (x2) { x4 = 0; } else { int x3 = x0 + 1; x4 = x3; } return x4; } /*@ logic integer decypher(int x11) = (((x11==0)) ? (26) : ((x11-1)));*/ /*@ requires ((0<=x11) && (x11<=26)); assigns \nothing; ensures ((0<=\result) && (\result<=26)); ensures \result == decypher(x11); */ int decypher(int x11) { int x13 = x11 == 0; int x15; if (x13) { x15 = 26; } else { int x14 = x11 - 1; x15 = x14; } return x15; } /*@ requires ((((((x25>0) && \valid(x22+(0..x25-1))) && \valid(x23+(0..x25-1))) && \valid(x24+(0..x25-1))) && (\forall int x88; (((0<=x88) && (x88<x25)) ==> (\forall int x92; (((0<=x92) && (x92<x25)) ==> (\forall int x96; (((0<=x96) && (x96<x25)) ==> ((\separated(x22+x88,x23+x92) && \separated(x22+x88,x24+x96)) && \separated(x23+x92,x24+x96))))))))) && (\forall int x114; (((0<=x114) && (x114<x25)) ==> ((0<=x22[x114]) && (x22[x114]<=26))))); ensures ((((\forall int x126; (((0<=x126) && (x126<x25)) ==> (x23[x126]==cypher(x22[x126])))) && (\forall int x137; (((0<=x137) && (x137<x25)) ==> ((0<=x23[x137]) && (x23[x137]<=26))))) && (\forall int x149; (((0<=x149) && (x149<x25)) ==> (\old(x22[x149])==x22[x149])))) && (\forall int x159; (((0<=x159) && (x159<x25)) ==> (\old(x24[x159])==x24[x159])))); assigns x23[(0..x25-1)]; */ void encode(int * x22, int * x23, int * x24, int x25) { /*@ loop invariant 0<=x28<=x25; loop invariant (\forall int x29; (((0<=x29) && (x29<x25)) ==> ((0<=x22[x29]) && (x22[x29]<=26)))); loop invariant (\forall int x39; (((0<=x39) && (x39<x25)) ==> (\at(x22[x39],Pre)==x22[x39]))); loop invariant (\forall int x48; (((0<=x48) && (x48<x25)) ==> (\at(x24[x48],Pre)==x24[x48]))); loop invariant (\forall int x57; (((0<=x57) && (x57<x28)) ==> (x23[x57]==cypher(x22[x57])))); loop assigns x28, x23[(0..x25-1)]; loop variant x25-x28; */ for(int x28=0; x28 < x25; x28++) { int x71 = x22[x28]; int x72 = cypher(x71); x23[x28] = x72; /*@assert (x23[x28]==x72);*/ } } /*@ requires ((((((x172>0) && \valid(x169+(0..x172-1))) && \valid(x170+(0..x172-1))) && \valid(x171+(0..x172-1))) && (\forall int x235; (((0<=x235) && (x235<x172)) ==> (\forall int x239; (((0<=x239) && (x239<x172)) ==> (\forall int x243; (((0<=x243) && (x243<x172)) ==> ((\separated(x169+x235,x170+x239) && \separated(x169+x235,x171+x243)) && \separated(x170+x239,x171+x243))))))))) && (\forall int x261; (((0<=x261) && (x261<x172)) ==> ((0<=x169[x261]) && (x169[x261]<=26))))); ensures ((((\forall int x273; (((0<=x273) && (x273<x172)) ==> (x170[x273]==decypher(x169[x273])))) && (\forall int x284; (((0<=x284) && (x284<x172)) ==> ((0<=x170[x284]) && (x170[x284]<=26))))) && (\forall int x296; (((0<=x296) && (x296<x172)) ==> (\old(x169[x296])==x169[x296])))) && (\forall int x306; (((0<=x306) && (x306<x172)) ==> (\old(x171[x306])==x171[x306])))); assigns x170[(0..x172-1)]; */ void decode(int * x169, int * x170, int * x171, int x172) { /*@ loop invariant 0<=x175<=x172; loop invariant (\forall int x176; (((0<=x176) && (x176<x172)) ==> ((0<=x169[x176]) && (x169[x176]<=26)))); loop invariant (\forall int x186; (((0<=x186) && (x186<x172)) ==> (\at(x169[x186],Pre)==x169[x186]))); loop invariant (\forall int x195; (((0<=x195) && (x195<x172)) ==> (\at(x171[x195],Pre)==x171[x195]))); loop invariant (\forall int x204; (((0<=x204) && (x204<x175)) ==> (x170[x204]==decypher(x169[x204])))); loop assigns x175, x170[(0..x172-1)]; loop variant x172-x175; */ for(int x175=0; x175 < x172; x175++) { int x218 = x169[x175]; int x219 = decypher(x218); x170[x175] = x219; /*@assert (x170[x175]==x219);*/ } } /*@ requires ((((((x319>0) && \valid(x316+(0..x319-1))) && \valid(x317+(0..x319-1))) && \valid(x318+(0..x319-1))) && (\forall int x332; (((0<=x332) && (x332<x319)) ==> (\forall int x336; (((0<=x336) && (x336<x319)) ==> (\forall int x340; (((0<=x340) && (x340<x319)) ==> ((\separated(x316+x332,x317+x336) && \separated(x316+x332,x318+x340)) && \separated(x317+x336,x318+x340))))))))) && (\forall int x359; (((0<=x359) && (x359<x319)) ==> ((0<=x316[x359]) && (x316[x359]<=26))))); ensures ((\forall int x371; (((0<=x371) && (x371<x319)) ==> (x318[x371]==x316[x371]))) && (\forall int x381; (((0<=x381) && (x381<x319)) ==> (\old(x316[x381])==x316[x381])))); assigns x317[(0..x319-1)], x318[(0..x319-1)]; */ void autoencode(int * x316, int * x317, int * x318, int x319) { encode(x316,x317,x318,x319); decode(x317,x318,x316,x319); }
#include <limits.h> #include <string.h> /*@ logic integer cypher(int x0) = (((x0==26)) ? (0) : ((x0+1)));*/ /*@ requires ((0<=x0) && (x0<=26)); assigns \nothing; ensures ((0<=\result) && (\result<=26)); ensures \result == cypher(x0); */ int cypher(int x0) { int x2 = x0 == 26; int x4; if (x2) { x4 = 0; } else { int x3 = x0 + 1; x4 = x3; } return x4; } /*@ logic integer decypher(int x11) = (((x11==0)) ? (26) : ((x11-1)));*/ /*@ requires ((0<=x11) && (x11<=26)); assigns \nothing; ensures ((0<=\result) && (\result<=26)); ensures \result == decypher(x11); */
int decypher(int x11) { int x13 = x11 == 0; int x15; if (x13) { x15 = 26; } else { int x14 = x11 - 1; x15 = x14; } return x15; }
true
14
14
int decypher(int x11) { int x13 = x11 == 0; int x15; if (x13) { x15 = 26; } else { int x14 = x11 - 1; x15 = x14; } return x15; }
#include <limits.h> #include <string.h> /*@ logic integer cypher(int x0) = (((x0==26)) ? (0) : ((x0+1)));*/ /*@ requires ((0<=x0) && (x0<=26)); assigns \nothing; ensures ((0<=\result) && (\result<=26)); ensures \result == cypher(x0); */ int cypher(int x0) { int x2 = x0 == 26; int x4; if (x2) { x4 = 0; } else { int x3 = x0 + 1; x4 = x3; } return x4; } /*@ logic integer decypher(int x11) = (((x11==0)) ? (26) : ((x11-1)));*/ /*@ requires ((0<=x11) && (x11<=26)); assigns \nothing; ensures ((0<=\result) && (\result<=26)); ensures \result == decypher(x11); */
frama_c_files_v2/test_frama_c_479.c
#include "string.h" /*@ requires valid_string(s); assigns s[0..(strlen(s) - 2)]; ensures strlen(s) ≡ \old(strlen(s)); ensures s ≡ \old(s); */ void a(char* s); /*@ requires valid_string(s); assigns s[0..strlen(\old(s))]; ensures strlen(s) ≡ strlen(s); ensures s ≡ \old(s); */ void b(char *s) { int x = 0; a(s); //@ assert x ≡ 0; } /*@ requires valid_string(s); assigns s[0..n]; */ void an(char* s, int n); /*@ requires valid_string(s); assigns s[0..n]; */ void bn(char *s, int n) { an(s, n); }
#include "string.h" /*@ requires valid_string(s); assigns s[0..(strlen(s) - 2)]; ensures strlen(s) ≡ \old(strlen(s)); ensures s ≡ \old(s); */ void a(char* s); /*@ requires valid_string(s); assigns s[0..strlen(\old(s))]; ensures strlen(s) ≡ strlen(s); ensures s ≡ \old(s); */
void b(char *s) { int x = 0; a(s); //@ assert x ≡ 0; }
true
8
8
void b(char *s) { int x = 0; a(s); //@ assert x ≡ 0; }
#include "string.h" /*@ requires valid_string(s); assigns s[0..(strlen(s) - 2)]; ensures strlen(s) ≡ \old(strlen(s)); ensures s ≡ \old(s); */ void a(char* s); /*@ requires valid_string(s); assigns s[0..strlen(\old(s))]; ensures strlen(s) ≡ strlen(s); ensures s ≡ \old(s); */
frama_c_files_v2/test_frama_c_479.c
#include "string.h" /*@ requires valid_string(s); assigns s[0..(strlen(s) - 2)]; ensures strlen(s) ≡ \old(strlen(s)); ensures s ≡ \old(s); */ void a(char* s); /*@ requires valid_string(s); assigns s[0..strlen(\old(s))]; ensures strlen(s) ≡ strlen(s); ensures s ≡ \old(s); */ void b(char *s) { int x = 0; a(s); //@ assert x ≡ 0; } /*@ requires valid_string(s); assigns s[0..n]; */ void an(char* s, int n); /*@ requires valid_string(s); assigns s[0..n]; */ void bn(char *s, int n) { an(s, n); }
#include "string.h" /*@ requires valid_string(s); assigns s[0..(strlen(s) - 2)]; ensures strlen(s) ≡ \old(strlen(s)); ensures s ≡ \old(s); */ void a(char* s); /*@ requires valid_string(s); assigns s[0..strlen(\old(s))]; ensures strlen(s) ≡ strlen(s); ensures s ≡ \old(s); */ void b(char *s) { int x = 0; a(s); //@ assert x ≡ 0; } /*@ requires valid_string(s); assigns s[0..n]; */ void an(char* s, int n); /*@ requires valid_string(s); assigns s[0..n]; */
void bn(char *s, int n) { an(s, n); }
true
13
13
void bn(char *s, int n) { an(s, n); }
#include "string.h" /*@ requires valid_string(s); assigns s[0..(strlen(s) - 2)]; ensures strlen(s) ≡ \old(strlen(s)); ensures s ≡ \old(s); */ void a(char* s); /*@ requires valid_string(s); assigns s[0..strlen(\old(s))]; ensures strlen(s) ≡ strlen(s); ensures s ≡ \old(s); */ void b(char *s) { int x = 0; a(s); //@ assert x ≡ 0; } /*@ requires valid_string(s); assigns s[0..n]; */ void an(char* s, int n); /*@ requires valid_string(s); assigns s[0..n]; */
frama_c_files_v2/test_frama_c_1751.c
/*@ assigns \nothing; ensures \result == \max(\max(a, b), \max(b, c)); */ int max3(int a, int b, int c) { return a > b ? (a > c ? a : c) : (b > c ? b : c); }
/*@ assigns \nothing; ensures \result == \max(\max(a, b), \max(b, c)); */
int max3(int a, int b, int c) { return a > b ? (a > c ? a : c) : (b > c ? b : c); }
true
9
9
int max3(int a, int b, int c) { return a > b ? (a > c ? a : c) : (b > c ? b : c); }
/*@ assigns \nothing; ensures \result == \max(\max(a, b), \max(b, c)); */
frama_c_files_v2/test_frama_c_837.c
#include <stdio.h> #include <string.h> #include <limits.h> /*@ requires N >= 0 && \valid_read(a + (0..N-1)); assigns \nothing; behavior empty: assumes N == 0; ensures \result == 0; behavior not_empty: assumes 0 < N; ensures 0 <= \result < N; ensures \forall integer i; 0 <= i < N ==> a[i] <= a[\result]; ensures \forall integer i; 0 <= i < \result ==> a[i] < a[\result]; complete behaviors; disjoint behaviors; */ int max(int* a, int N) { if (N == 0) { return 0; } int i; int max = 0; /*@ loop invariant 0 <= i <= N; loop invariant 0 <= max < N; loop invariant \forall integer k; 0 <= k < i ==> a[k] <= a[max]; loop invariant \forall integer k; 0 <= k < max ==> a[k] < a[max]; loop assigns max, i; loop variant N-i; */ for (i = 0; i < N; i++) { if (a[max] < a[i]) { max = i; } } return max; } int main() { int N = 6; //int* a; //a = (int*) malloc(N*sizeof(int)); int a[N]; memcpy(a, (int[]) {23, 50, 61, 124, 562, 1000}, sizeof a); //a = {23, 50, 61, 124, 562, 1000}; //*(a + 0) = 23; //*(a + 1) = 50; //*(a + 2) = 61; //a[3] = 124; //a[4] = 563; //a[5] = 1000; // max from odd numbers int max_index = max(a, N); printf("max_from_arr = %i\n", a[max_index]); return 0; }
#include <stdio.h> #include <string.h> #include <limits.h> /*@ requires N >= 0 && \valid_read(a + (0..N-1)); assigns \nothing; behavior empty: assumes N == 0; ensures \result == 0; behavior not_empty: assumes 0 < N; ensures 0 <= \result < N; ensures \forall integer i; 0 <= i < N ==> a[i] <= a[\result]; ensures \forall integer i; 0 <= i < \result ==> a[i] < a[\result]; complete behaviors; disjoint behaviors; */
int max(int* a, int N) { if (N == 0) { return 0; } int i; int max = 0; /*@ loop invariant 0 <= i <= N; loop invariant 0 <= max < N; loop invariant \forall integer k; 0 <= k < i ==> a[k] <= a[max]; loop invariant \forall integer k; 0 <= k < max ==> a[k] < a[max]; loop assigns max, i; loop variant N-i; */ for (i = 0; i < N; i++) { if (a[max] < a[i]) { max = i; } } return max; }
true
26
26
int max(int* a, int N) { if (N == 0) { return 0; } int i; int max = 0; /*@ loop invariant 0 <= i <= N; loop invariant 0 <= max < N; loop invariant \forall integer k; 0 <= k < i ==> a[k] <= a[max]; loop invariant \forall integer k; 0 <= k < max ==> a[k] < a[max]; loop assigns max, i; loop variant N-i; */ for (i = 0; i < N; i++) { if (a[max] < a[i]) { max = i; } } return max; }
#include <stdio.h> #include <string.h> #include <limits.h> /*@ requires N >= 0 && \valid_read(a + (0..N-1)); assigns \nothing; behavior empty: assumes N == 0; ensures \result == 0; behavior not_empty: assumes 0 < N; ensures 0 <= \result < N; ensures \forall integer i; 0 <= i < N ==> a[i] <= a[\result]; ensures \forall integer i; 0 <= i < \result ==> a[i] < a[\result]; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_1303.c
// __deref_in and deref_out #pragma JessieIntegerModel(exact) /*@ requires \valid(ppi) && \valid(ppo) && \valid(*ppi) && \valid(*ppo); @ assigns **ppo; @ ensures **ppo == **ppi; */ void deref_OutAndIn(int **ppi, int **ppo) { **ppo = **ppi; } void deref_OutAndIn_test() { int a = 5; int b = 0; int *pb = &b; int *pa = &a; deref_OutAndIn(&pa, &pb); //@ assert *pa == a; //@ assert *pb == a; }
/*@ requires \valid(ppi) && \valid(ppo) && \valid(*ppi) && \valid(*ppo); @ assigns **ppo; @ ensures **ppo == **ppi; */
void deref_OutAndIn(int **ppi, int **ppo) { **ppo = **ppi; }
true
8
8
void deref_OutAndIn(int **ppi, int **ppo) { **ppo = **ppi; }
/*@ requires \valid(ppi) && \valid(ppo) && \valid(*ppi) && \valid(*ppo); @ assigns **ppo; @ ensures **ppo == **ppi; */
frama_c_files_v2/test_frama_c_384.c
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */ int matcher_ab_dot_star_ab(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x88; if (x16) { char *x17 = x11+1; char x18 = x17[0]; int x19 = x18 == '\0'; int x22; if (x19) { x22 = 0/*false*/; } else { int x21 = 'b' == x18; x22 = x21; } int x87; if (x22) { int x24 = 0/*false*/; int x25 = 1/*true*/; char *x23 = x17+1; char *x26 = x23; /*@ loop invariant ((strlen(x26)>=0) && \valid(x26+(0..strlen(x26)))); loop assigns x24, x25, x26; loop variant ((strlen(x26)+((x24) ? (0) : (1)))+((x25) ? (1) : (0))); */ for (;;) { int x27 = x24; int x31; if (x27) { x31 = 0/*false*/; } else { int x29 = x25; x31 = x29; } if (!x31) break; char *x33 = x26; char x34 = x33[0]; int x35 = x34 == '\0'; int x38; if (x35) { x38 = 0/*false*/; } else { int x37 = 'a' == x34; x38 = x37; } int x47; if (x38) { char *x39 = x33+1; char x40 = x39[0]; int x41 = x40 == '\0'; int x44; if (x41) { x44 = 0/*false*/; } else { int x43 = 'b' == x40; x44 = x43; } int x46; if (x44) { x46 = 1/*true*/; } else { x46 = 0/*false*/; } x47 = x46; } else { x47 = 0/*false*/; } x24 = x47; int x49 = x24; if (x49) { } else { int x36 = !x35; x25 = x36; int x52 = x25; if (x52) { x25 = 1/*true*/; char *x39 = x33+1; x26 = x39; } else { } } } int x85 = x24; x87 = x85; } else { x87 = 0/*false*/; } x88 = x87; } else { x88 = 0/*false*/; } x2 = x88; int x90 = x2; if (x90) { } else { int x14 = !x13; x3 = x14; int x93 = x3; if (x93) { char *x17 = x11+1; x4 = x17; } else { } } } int x124 = x2; return x124; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */
int matcher_ab_dot_star_ab(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x88; if (x16) { char *x17 = x11+1; char x18 = x17[0]; int x19 = x18 == '\0'; int x22; if (x19) { x22 = 0/*false*/; } else { int x21 = 'b' == x18; x22 = x21; } int x87; if (x22) { int x24 = 0/*false*/; int x25 = 1/*true*/; char *x23 = x17+1; char *x26 = x23; /*@ loop invariant ((strlen(x26)>=0) && \valid(x26+(0..strlen(x26)))); loop assigns x24, x25, x26; loop variant ((strlen(x26)+((x24) ? (0) : (1)))+((x25) ? (1) : (0))); */ for (;;) { int x27 = x24; int x31; if (x27) { x31 = 0/*false*/; } else { int x29 = x25; x31 = x29; } if (!x31) break; char *x33 = x26; char x34 = x33[0]; int x35 = x34 == '\0'; int x38; if (x35) { x38 = 0/*false*/; } else { int x37 = 'a' == x34; x38 = x37; } int x47; if (x38) { char *x39 = x33+1; char x40 = x39[0]; int x41 = x40 == '\0'; int x44; if (x41) { x44 = 0/*false*/; } else { int x43 = 'b' == x40; x44 = x43; } int x46; if (x44) { x46 = 1/*true*/; } else { x46 = 0/*false*/; } x47 = x46; } else { x47 = 0/*false*/; } x24 = x47; int x49 = x24; if (x49) { } else { int x36 = !x35; x25 = x36; int x52 = x25; if (x52) { x25 = 1/*true*/; char *x39 = x33+1; x26 = x39; } else { } } } int x85 = x24; x87 = x85; } else { x87 = 0/*false*/; } x88 = x87; } else { x88 = 0/*false*/; } x2 = x88; int x90 = x2; if (x90) { } else { int x14 = !x13; x3 = x14; int x93 = x3; if (x93) { char *x17 = x11+1; x4 = x17; } else { } } } int x124 = x2; return x124; }
true
39
39
int matcher_ab_dot_star_ab(char * x0) { int x2 = 0/*false*/; int x3 = 1/*true*/; char *x4 = x0; /*@ loop invariant ((strlen(x4)>=0) && \valid(x4+(0..strlen(x4)))); loop assigns x2, x3, x4; loop variant ((strlen(x4)+((x2) ? (0) : (1)))+((x3) ? (1) : (0))); */ for (;;) { int x5 = x2; int x9; if (x5) { x9 = 0/*false*/; } else { int x7 = x3; x9 = x7; } if (!x9) break; char *x11 = x4; char x12 = x11[0]; int x13 = x12 == '\0'; int x16; if (x13) { x16 = 0/*false*/; } else { int x15 = 'a' == x12; x16 = x15; } int x88; if (x16) { char *x17 = x11+1; char x18 = x17[0]; int x19 = x18 == '\0'; int x22; if (x19) { x22 = 0/*false*/; } else { int x21 = 'b' == x18; x22 = x21; } int x87; if (x22) { int x24 = 0/*false*/; int x25 = 1/*true*/; char *x23 = x17+1; char *x26 = x23; /*@ loop invariant ((strlen(x26)>=0) && \valid(x26+(0..strlen(x26)))); loop assigns x24, x25, x26; loop variant ((strlen(x26)+((x24) ? (0) : (1)))+((x25) ? (1) : (0))); */ for (;;) { int x27 = x24; int x31; if (x27) { x31 = 0/*false*/; } else { int x29 = x25; x31 = x29; } if (!x31) break; char *x33 = x26; char x34 = x33[0]; int x35 = x34 == '\0'; int x38; if (x35) { x38 = 0/*false*/; } else { int x37 = 'a' == x34; x38 = x37; } int x47; if (x38) { char *x39 = x33+1; char x40 = x39[0]; int x41 = x40 == '\0'; int x44; if (x41) { x44 = 0/*false*/; } else { int x43 = 'b' == x40; x44 = x43; } int x46; if (x44) { x46 = 1/*true*/; } else { x46 = 0/*false*/; } x47 = x46; } else { x47 = 0/*false*/; } x24 = x47; int x49 = x24; if (x49) { } else { int x36 = !x35; x25 = x36; int x52 = x25; if (x52) { x25 = 1/*true*/; char *x39 = x33+1; x26 = x39; } else { } } } int x85 = x24; x87 = x85; } else { x87 = 0/*false*/; } x88 = x87; } else { x88 = 0/*false*/; } x2 = x88; int x90 = x2; if (x90) { } else { int x14 = !x13; x3 = x14; int x93 = x3; if (x93) { char *x17 = x11+1; x4 = x17; } else { } } } int x124 = x2; return x124; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */
frama_c_files_v2/test_frama_c_2282.c
/*@ requires n>0; requires 0<=k<n; requires\valid(a+ (0..n-1)); ensures\forall integer i; 0<= i<=k ==>a[k]>=a[i]; */ void bubbleinnerloop(int a[], int n, int k) { /*@ loop invariant\forall integer i; 0<= i<j ==> a[j]>=a[i];loop invariant 0<=j<=k; loop assigns j,a[0..j+1]; loop variant k-j; */ for (int j = 0; j < k; j++) { if (a[j] > a[j + 1]) { int temp = a[j]; a[j] = a[j + 1]; a[j + 1] = temp; } } }
/*@ requires n>0; requires 0<=k<n; requires\valid(a+ (0..n-1)); ensures\forall integer i; 0<= i<=k ==>a[k]>=a[i]; */
void bubbleinnerloop(int a[], int n, int k) { /*@ loop invariant\forall integer i; 0<= i<j ==> a[j]>=a[i];loop invariant 0<=j<=k; loop assigns j,a[0..j+1]; loop variant k-j; */ for (int j = 0; j < k; j++) { if (a[j] > a[j + 1]) { int temp = a[j]; a[j] = a[j + 1]; a[j + 1] = temp; } } }
true
23
23
void bubbleinnerloop(int a[], int n, int k) { /*@ loop invariant\forall integer i; 0<= i<j ==> a[j]>=a[i];loop invariant 0<=j<=k; loop assigns j,a[0..j+1]; loop variant k-j; */ for (int j = 0; j < k; j++) { if (a[j] > a[j + 1]) { int temp = a[j]; a[j] = a[j + 1]; a[j + 1] = temp; } } }
/*@ requires n>0; requires 0<=k<n; requires\valid(a+ (0..n-1)); ensures\forall integer i; 0<= i<=k ==>a[k]>=a[i]; */
frama_c_files_v2/test_frama_c_794.c
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */ int picker_last(int x23) { int x25 = x23 - 1; return x25; } /*@ requires ((x31>0) && \valid(x30+(0..x31-1))); assigns \nothing; */ int pick_last_element(int * x30, int x31) { int x33 = picker_last(x31); int x34 = x30[x33]; return x34; } /*@ requires ((x40>0) && \valid(x39+(0..x40-1))); assigns \nothing; */ int pick_last_directly(int * x39, int x40) { int x42 = x40 - 1; int x43 = x39[x42]; return x43; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */
int picker_first(int x0) { return 0; }
true
4
4
int picker_first(int x0) { return 0; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */
frama_c_files_v2/test_frama_c_794.c
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */ int picker_last(int x23) { int x25 = x23 - 1; return x25; } /*@ requires ((x31>0) && \valid(x30+(0..x31-1))); assigns \nothing; */ int pick_last_element(int * x30, int x31) { int x33 = picker_last(x31); int x34 = x30[x33]; return x34; } /*@ requires ((x40>0) && \valid(x39+(0..x40-1))); assigns \nothing; */ int pick_last_directly(int * x39, int x40) { int x42 = x40 - 1; int x43 = x39[x42]; return x43; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */
int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; }
true
15
15
int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */
frama_c_files_v2/test_frama_c_794.c
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */ int picker_last(int x23) { int x25 = x23 - 1; return x25; } /*@ requires ((x31>0) && \valid(x30+(0..x31-1))); assigns \nothing; */ int pick_last_element(int * x30, int x31) { int x33 = picker_last(x31); int x34 = x30[x33]; return x34; } /*@ requires ((x40>0) && \valid(x39+(0..x40-1))); assigns \nothing; */ int pick_last_directly(int * x39, int x40) { int x42 = x40 - 1; int x43 = x39[x42]; return x43; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */
int picker_last(int x23) { int x25 = x23 - 1; return x25; }
true
20
20
int picker_last(int x23) { int x25 = x23 - 1; return x25; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */
frama_c_files_v2/test_frama_c_794.c
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */ int picker_last(int x23) { int x25 = x23 - 1; return x25; } /*@ requires ((x31>0) && \valid(x30+(0..x31-1))); assigns \nothing; */ int pick_last_element(int * x30, int x31) { int x33 = picker_last(x31); int x34 = x30[x33]; return x34; } /*@ requires ((x40>0) && \valid(x39+(0..x40-1))); assigns \nothing; */ int pick_last_directly(int * x39, int x40) { int x42 = x40 - 1; int x43 = x39[x42]; return x43; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */ int picker_last(int x23) { int x25 = x23 - 1; return x25; } /*@ requires ((x31>0) && \valid(x30+(0..x31-1))); assigns \nothing; */ int pick_last_element(int * x30, int x31) { int x33 = picker_last(x31); int x34 = x30[x33]; return x34; } /*@ requires ((x40>0) && \valid(x39+(0..x40-1))); assigns \nothing; */
int pick_last_directly(int * x39, int x40) { int x42 = x40 - 1; int x43 = x39[x42]; return x43; }
true
32
32
int pick_last_directly(int * x39, int x40) { int x42 = x40 - 1; int x43 = x39[x42]; return x43; }
#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int picker_first(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_first_element(int * x6, int x7) { int x9 = picker_first(x7); int x10 = x6[x9]; return x10; } /*@ requires ((x16>0) && \valid(x15+(0..x16-1))); assigns \nothing; */ int pick_first_directly(int * x15, int x16) { int x18 = x15[0]; return x18; } /*@ requires (x23>0); assigns \nothing; ensures ((0<=\result) && (\result<x23)); */ int picker_last(int x23) { int x25 = x23 - 1; return x25; } /*@ requires ((x31>0) && \valid(x30+(0..x31-1))); assigns \nothing; */ int pick_last_element(int * x30, int x31) { int x33 = picker_last(x31); int x34 = x30[x33]; return x34; } /*@ requires ((x40>0) && \valid(x39+(0..x40-1))); assigns \nothing; */
frama_c_files_v2/test_frama_c_734.c
/*@ requires \valid(p) && \valid(q); ensures \result >= *p && \result >= *q; ensures \result == *p || \result == *q; assigns \nothing; */ int max_ptr ( int *p, int *q ) { if ( *p >= *q ) return *p ; return *q ; }
/*@ requires \valid(p) && \valid(q); ensures \result >= *p && \result >= *q; ensures \result == *p || \result == *q; assigns \nothing; */
int max_ptr ( int *p, int *q ) { if ( *p >= *q ) return *p ; return *q ; }
true
10
10
int max_ptr ( int *p, int *q ) { if ( *p >= *q ) return *p ; return *q ; }
/*@ requires \valid(p) && \valid(q); ensures \result >= *p && \result >= *q; ensures \result == *p || \result == *q; assigns \nothing; */
frama_c_files_v2/test_frama_c_2702.c
#include <stdio.h> #include <stdlib.h> /*@ requires \valid_read(a + (0..n-1)); requires \valid_read(b + (0..n-1)); requires n >= 0; assigns \nothing; behavior if_equal: assumes \forall integer k; 0<=k<n ==> a[k] == b[k]; ensures \result == 1; behavior if_not_equal: assumes \exists integer k;0<=k<n && a[k] != b[k]; ensures \result == 0; */ int equal(int *a, int n, int *b){ int i; i = 0; /*@ 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 (i = 0; i < n; i++) { if (a[i] != b[i]){ return 0; } } return 1; } int main(){ int a[] = {1,2,3,4,5}; int b[] = {1,2,3,4,5}; equal(a,5,b); return 0; }
#include <stdio.h> #include <stdlib.h> /*@ requires \valid_read(a + (0..n-1)); requires \valid_read(b + (0..n-1)); requires n >= 0; assigns \nothing; behavior if_equal: assumes \forall integer k; 0<=k<n ==> a[k] == b[k]; ensures \result == 1; behavior if_not_equal: assumes \exists integer k;0<=k<n && a[k] != b[k]; ensures \result == 0; */
int equal(int *a, int n, int *b){ int i; i = 0; /*@ 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 (i = 0; i < n; i++) { if (a[i] != b[i]){ return 0; } } return 1; }
true
19
19
int equal(int *a, int n, int *b){ int i; i = 0; /*@ 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 (i = 0; i < n; i++) { if (a[i] != b[i]){ return 0; } } return 1; }
#include <stdio.h> #include <stdlib.h> /*@ requires \valid_read(a + (0..n-1)); requires \valid_read(b + (0..n-1)); requires n >= 0; assigns \nothing; behavior if_equal: assumes \forall integer k; 0<=k<n ==> a[k] == b[k]; ensures \result == 1; behavior if_not_equal: assumes \exists integer k;0<=k<n && a[k] != b[k]; ensures \result == 0; */
frama_c_files_v2/test_frama_c_2882.c
/*@ requires n >= 0; requires \valid(a + (0..n-1)); assigns \nothing; behavior empty: assumes n == 0; ensures \result == 0; behavior not_empty: assumes 0 < n; ensures 0 <= \result < n; ensures \forall integer i; 0 <= i < n ==> a[i] <= a[\result]; ensures \forall integer i; 0 <= i < \result ==> a[i] < a[\result]; complete behaviors; disjoint behaviors; */ int max_element(int* a, int n) { if (n == 0) { return 0; } int max = 0; /*@ loop invariant 0 <= i <= n; loop invariant 0 <= max < n; loop invariant \forall integer k; 0 <= k < i ==> a[k] <= a[max]; loop invariant \forall integer k; 0 <= k < max ==> a[k] < a[max]; loop assigns max, i; loop variant n-i; */ for (int i = 1; i < n; i++) { if (a[max] < a[i]) { max = i; } } return max; } /*@ requires n > 0; requires \valid(p + (0..n-1)); assigns \nothing; ensures \forall integer i; 0 <= i <= n-1 ==> \result >= p[i]; ensures \exists integer e; 0 <= e <= n-1 && \result == p[e]; */ int max_seq(int* p, int n) { return p[max_element(p, n)]; }
/*@ requires n >= 0; requires \valid(a + (0..n-1)); assigns \nothing; behavior empty: assumes n == 0; ensures \result == 0; behavior not_empty: assumes 0 < n; ensures 0 <= \result < n; ensures \forall integer i; 0 <= i < n ==> a[i] <= a[\result]; ensures \forall integer i; 0 <= i < \result ==> a[i] < a[\result]; complete behaviors; disjoint behaviors; */
int max_element(int* a, int n) { if (n == 0) { return 0; } int max = 0; /*@ loop invariant 0 <= i <= n; loop invariant 0 <= max < n; loop invariant \forall integer k; 0 <= k < i ==> a[k] <= a[max]; loop invariant \forall integer k; 0 <= k < max ==> a[k] < a[max]; loop assigns max, i; loop variant n-i; */ for (int i = 1; i < n; i++) { if (a[max] < a[i]) { max = i; } } return max; }
true
25
25
int max_element(int* a, int n) { if (n == 0) { return 0; } int max = 0; /*@ loop invariant 0 <= i <= n; loop invariant 0 <= max < n; loop invariant \forall integer k; 0 <= k < i ==> a[k] <= a[max]; loop invariant \forall integer k; 0 <= k < max ==> a[k] < a[max]; loop assigns max, i; loop variant n-i; */ for (int i = 1; i < n; i++) { if (a[max] < a[i]) { max = i; } } return max; }
/*@ requires n >= 0; requires \valid(a + (0..n-1)); assigns \nothing; behavior empty: assumes n == 0; ensures \result == 0; behavior not_empty: assumes 0 < n; ensures 0 <= \result < n; ensures \forall integer i; 0 <= i < n ==> a[i] <= a[\result]; ensures \forall integer i; 0 <= i < \result ==> a[i] < a[\result]; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_599.c
/*@ requires \valid(p) && \valid(q); requires -10000<*p<10000 && -10000<*q<10000; assigns *p; assigns *q; ensures *p==\old(*q); ensures *q==\old(*p); */ void swap(int *p, int *q){ int sum=*p + *q; *p=sum-*p; *q=sum-*p; }
/*@ requires \valid(p) && \valid(q); requires -10000<*p<10000 && -10000<*q<10000; assigns *p; assigns *q; ensures *p==\old(*q); ensures *q==\old(*p); */
void swap(int *p, int *q){ int sum=*p + *q; *p=sum-*p; *q=sum-*p; }
true
18
18
void swap(int *p, int *q){ int sum=*p + *q; *p=sum-*p; *q=sum-*p; }
/*@ requires \valid(p) && \valid(q); requires -10000<*p<10000 && -10000<*q<10000; assigns *p; assigns *q; ensures *p==\old(*q); ensures *q==\old(*p); */
frama_c_files_v2/test_frama_c_2633.c
/*@ requires -2147483648<a+b<2147483647; ensures \result==a+b; */ int add(int a,int b){ return a+b ; }
/*@ requires -2147483648<a+b<2147483647; ensures \result==a+b; */
int add(int a,int b){ return a+b ; }
true
5
5
int add(int a,int b){ return a+b ; }
/*@ requires -2147483648<a+b<2147483647; ensures \result==a+b; */
frama_c_files_v2/test_frama_c_2493.c
/*@ requires n>0; requires \valid_read(a+(0..n-1)); requires \valid_read(b+(0..n-1)); behavior same: assumes \forall integer i; 0<=i<n ==> a[i] == b[i]; ensures \result == 1; behavior not_same: assumes \exists integer i; 0<=i<n && a[i] != b[i]; ensures \result == 0; */ int is_same(int a[],int b[],int n) { /*@ loop invariant \forall integer j; 0<=j<i ==> a[j] == b[j]; loop invariant 0<=i<=n; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++) { if(a[i] != b[i]) return 0; } return 1; }
/*@ requires n>0; requires \valid_read(a+(0..n-1)); requires \valid_read(b+(0..n-1)); behavior same: assumes \forall integer i; 0<=i<n ==> a[i] == b[i]; ensures \result == 1; behavior not_same: assumes \exists integer i; 0<=i<n && a[i] != b[i]; ensures \result == 0; */
int is_same(int a[],int b[],int n) { /*@ loop invariant \forall integer j; 0<=j<i ==> a[j] == b[j]; loop invariant 0<=i<=n; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++) { if(a[i] != b[i]) return 0; } return 1; }
true
14
14
int is_same(int a[],int b[],int n) { /*@ loop invariant \forall integer j; 0<=j<i ==> a[j] == b[j]; loop invariant 0<=i<=n; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++) { if(a[i] != b[i]) return 0; } return 1; }
/*@ requires n>0; requires \valid_read(a+(0..n-1)); requires \valid_read(b+(0..n-1)); behavior same: assumes \forall integer i; 0<=i<n ==> a[i] == b[i]; ensures \result == 1; behavior not_same: assumes \exists integer i; 0<=i<n && a[i] != b[i]; ensures \result == 0; */
frama_c_files_v2/test_frama_c_2318.c
#include "stddef.h" // the 'pos' pre-condition forbids to pass empty arrays to the function: // otherwise, we would need to make a special case in the code, as initializing // 'high' with 'length - 1' is not a good idea if 'length' is 0 /*@ requires pos: length > 0; requires array: \valid_read(a + (0 .. length - 1)); requires sorted: \forall integer i, j; 0 <= i < j < length ==> a[i] <= a[j]; assigns \nothing; behavior has_key: assumes has_key: \exists integer i; 0 <= i < length && a[i] == key; ensures 0 <= \result < length; ensures a[\result] == key; behavior no_key: assumes no_key: \forall integer i; 0 <= i < length ==> a[i] != key; ensures \result == length; complete behaviors; disjoint behaviors; */ size_t binary_search(char* a, size_t length, char key) { size_t low = 0; size_t high = length - 1; /*@ loop invariant bounds: 0 <= low <= high + 1 <= length; loop invariant small_vals: \forall integer i; 0<=i<low ==> a[i] < key; loop invariant big_vals: \forall integer i; high < i < length ==> a[i] > key; loop assigns high, low; loop variant high - low; */ while (high >= low) { // There was a quite well known bug in the original version of the code: // for big arrays, computing (low + high) / 2 might overflow when doing // the addition, resulting in an incorrect middle index. size_t middle = low + (high - low) / 2; if (a[middle] == key) return middle; if (a[middle] < key) low = middle + 1; else { // another subtle issue of the original code: if we're looking for a // small 'key', 'middle' will eventually become '0', in which case we know // that we won't find 'key'. And of course, we do not want to compute // 'middle - 1' there if (middle == 0) return length; else high = middle - 1; } } return length; }
#include "stddef.h" /*@ requires pos: length > 0; requires array: \valid_read(a + (0 .. length - 1)); requires sorted: \forall integer i, j; 0 <= i < j < length ==> a[i] <= a[j]; assigns \nothing; behavior has_key: assumes has_key: \exists integer i; 0 <= i < length && a[i] == key; ensures 0 <= \result < length; ensures a[\result] == key; behavior no_key: assumes no_key: \forall integer i; 0 <= i < length ==> a[i] != key; ensures \result == length; complete behaviors; disjoint behaviors; */
size_t binary_search(char* a, size_t length, char key) { size_t low = 0; size_t high = length - 1; /*@ loop invariant bounds: 0 <= low <= high + 1 <= length; loop invariant small_vals: \forall integer i; 0<=i<low ==> a[i] < key; loop invariant big_vals: \forall integer i; high < i < length ==> a[i] > key; loop assigns high, low; loop variant high - low; */ while (high >= low) { // There was a quite well known bug in the original version of the code: // for big arrays, computing (low + high) / 2 might overflow when doing // the addition, resulting in an incorrect middle index. size_t middle = low + (high - low) / 2; if (a[middle] == key) return middle; if (a[middle] < key) low = middle + 1; else { // another subtle issue of the original code: if we're looking for a // small 'key', 'middle' will eventually become '0', in which case we know // that we won't find 'key'. And of course, we do not want to compute // 'middle - 1' there if (middle == 0) return length; else high = middle - 1; } } return length; }
true
22
22
size_t binary_search(char* a, size_t length, char key) { size_t low = 0; size_t high = length - 1; /*@ loop invariant bounds: 0 <= low <= high + 1 <= length; loop invariant small_vals: \forall integer i; 0<=i<low ==> a[i] < key; loop invariant big_vals: \forall integer i; high < i < length ==> a[i] > key; loop assigns high, low; loop variant high - low; */ while (high >= low) { // There was a quite well known bug in the original version of the code: // for big arrays, computing (low + high) / 2 might overflow when doing // the addition, resulting in an incorrect middle index. size_t middle = low + (high - low) / 2; if (a[middle] == key) return middle; if (a[middle] < key) low = middle + 1; else { // another subtle issue of the original code: if we're looking for a // small 'key', 'middle' will eventually become '0', in which case we know // that we won't find 'key'. And of course, we do not want to compute // 'middle - 1' there if (middle == 0) return length; else high = middle - 1; } } return length; }
#include "stddef.h" /*@ requires pos: length > 0; requires array: \valid_read(a + (0 .. length - 1)); requires sorted: \forall integer i, j; 0 <= i < j < length ==> a[i] <= a[j]; assigns \nothing; behavior has_key: assumes has_key: \exists integer i; 0 <= i < length && a[i] == key; ensures 0 <= \result < length; ensures a[\result] == key; behavior no_key: assumes no_key: \forall integer i; 0 <= i < length ==> a[i] != key; ensures \result == length; complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_2852.c
#include <limits.h> /*@ assigns \nothing; ensures (((\result>=x0) && (\result>=x1)) && ((\result==x0) || (\result==x1))); */ int max(int x0, int x1) { int x3 = x0 > x1; int x4; if (x3) { x4 = x0; } else { x4 = x1; } return x4; }
#include <limits.h> /*@ assigns \nothing; ensures (((\result>=x0) && (\result>=x1)) && ((\result==x0) || (\result==x1))); */
int max(int x0, int x1) { int x3 = x0 > x1; int x4; if (x3) { x4 = x0; } else { x4 = x1; } return x4; }
true
5
5
int max(int x0, int x1) { int x3 = x0 > x1; int x4; if (x3) { x4 = x0; } else { x4 = x1; } return x4; }
#include <limits.h> /*@ assigns \nothing; ensures (((\result>=x0) && (\result>=x1)) && ((\result==x0) || (\result==x1))); */
frama_c_files_v2/test_frama_c_2189.c
/*@ requires \valid(a) && \valid_read(b); requires \separated(a, b); assigns *a; ensures \old(*b) ==> *a == 0; ensures ! \old(*b) ==> *a == \old(*a); ensures *b == \old(*b); */ void reset_1st_if_2nd_is_true(int* a, int const* b){ if(*b) *a = 0 ; } int main(){ int a = 5 ; int x = 0 ; reset_1st_if_2nd_is_true(&a, &x); //@ assert a == 5 ; //@ assert x == 0 ; int const b = 1 ; reset_1st_if_2nd_is_true(&a, &b); //@ assert a == 0 ; //@ assert b == 1 ; }
/*@ requires \valid(a) && \valid_read(b); requires \separated(a, b); assigns *a; ensures \old(*b) ==> *a == 0; ensures ! \old(*b) ==> *a == \old(*a); ensures *b == \old(*b); */
void reset_1st_if_2nd_is_true(int* a, int const* b){ if(*b) *a = 0 ; }
true
8
8
void reset_1st_if_2nd_is_true(int* a, int const* b){ if(*b) *a = 0 ; }
/*@ requires \valid(a) && \valid_read(b); requires \separated(a, b); assigns *a; ensures \old(*b) ==> *a == 0; ensures ! \old(*b) ==> *a == \old(*a); ensures *b == \old(*b); */
frama_c_files_v2/test_frama_c_1648.c
// pour INT_MIN #include <limits.h> // valeur absolue /*@ requires a != INT_MIN; ensures \result >= 0; ensures \result == a || \result == -a; */ int abs(int a) { return (a > 0) ? a : -a; }
#include <limits.h> /*@ requires a != INT_MIN; ensures \result >= 0; ensures \result == a || \result == -a; */
int abs(int a) { return (a > 0) ? a : -a; }
true
5
5
int abs(int a) { return (a > 0) ? a : -a; }
#include <limits.h> /*@ requires a != INT_MIN; ensures \result >= 0; ensures \result == a || \result == -a; */
frama_c_files_v2/test_frama_c_1332.c
/*@ ensures 0 <= \result <= 1;*/ // */ int loop(unsigned N) { int c = 0; unsigned i; /*@ loop invariant 0 <= c <= 1; loop invariant i <= N; loop variant N - i; */ for (i = 0; i < N; ++i) { c = 1 - c; } return c; }
/*@ ensures 0 <= \result <= 1;*/ // */
int loop(unsigned N) { int c = 0; unsigned i; /*@ loop invariant 0 <= c <= 1; loop invariant i <= N; loop variant N - i; */ for (i = 0; i < N; ++i) { c = 1 - c; } return c; }
true
10
10
int loop(unsigned N) { int c = 0; unsigned i; /*@ loop invariant 0 <= c <= 1; loop invariant i <= N; loop variant N - i; */ for (i = 0; i < N; ++i) { c = 1 - c; } return c; }
/*@ ensures 0 <= \result <= 1;*/ // */
frama_c_files_v2/test_frama_c_1858.c
/*@ axiomatic GCD { @ logic integer gcd(integer x, integer y); @ axiom gcd_equal: @ \forall integer x; @ (x > 0) ==> gcd(x, x) == x; axiom gcd_comm: \forall integer x, integer y; (x > 0 && y > 0) ==> gcd(x, y) == gcd(y, x); axiom gcd_add: \forall integer x, integer y; (x > 0 && y > 0) ==> gcd(x + y, y) == gcd(x, y); @ } */ /*@ requires a > 0 && b > 0; @ assigns \nothing; @ ensures \result == gcd(a, b); */ int euclid(int a, int b) { int x = a; int y = b; /*@ loop invariant x > 0 && y > 0; @ loop invariant gcd(x, y) == gcd(a,b); @ loop assigns x, y; @ loop variant \max(x, y); */ while (x != y) { if (x > y) { x -= y; } else { y -= x; } } return x; }
/*@ axiomatic GCD { @ logic integer gcd(integer x, integer y); @ axiom gcd_equal: @ \forall integer x; @ (x > 0) ==> gcd(x, x) == x; axiom gcd_comm: \forall integer x, integer y; (x > 0 && y > 0) ==> gcd(x, y) == gcd(y, x); axiom gcd_add: \forall integer x, integer y; (x > 0 && y > 0) ==> gcd(x + y, y) == gcd(x, y); @ } */ /*@ requires a > 0 && b > 0; @ assigns \nothing; @ ensures \result == gcd(a, b); */
int euclid(int a, int b) { int x = a; int y = b; /*@ loop invariant x > 0 && y > 0; @ loop invariant gcd(x, y) == gcd(a,b); @ loop assigns x, y; @ loop variant \max(x, y); */ while (x != y) { if (x > y) { x -= y; } else { y -= x; } } return x; }
true
15
15
int euclid(int a, int b) { int x = a; int y = b; /*@ loop invariant x > 0 && y > 0; @ loop invariant gcd(x, y) == gcd(a,b); @ loop assigns x, y; @ loop variant \max(x, y); */ while (x != y) { if (x > y) { x -= y; } else { y -= x; } } return x; }
/*@ axiomatic GCD { @ logic integer gcd(integer x, integer y); @ axiom gcd_equal: @ \forall integer x; @ (x > 0) ==> gcd(x, x) == x; axiom gcd_comm: \forall integer x, integer y; (x > 0 && y > 0) ==> gcd(x, y) == gcd(y, x); axiom gcd_add: \forall integer x, integer y; (x > 0 && y > 0) ==> gcd(x + y, y) == gcd(x, y); @ } */ /*@ requires a > 0 && b > 0; @ assigns \nothing; @ ensures \result == gcd(a, b); */
frama_c_files_v2/test_frama_c_1940.c
/*@ predicate inInterval(integer a, integer b, integer c) = a >= b && b <= c; predicate fourInOrder(integer a, integer b, integer c, integer d) = inInterval(b,a,c) && inInterval(c,b,d); predicate controlledEquality(integer a, integer b, boolean c) = a == b || c; */ /*@ requires inInterval(a,b,c); requires inInterval(c,a,d); ensures fourInOrder(\result,a,c,d); */ int toto(int a, int b, int c, int d){ return b; }
/*@ predicate inInterval(integer a, integer b, integer c) = a >= b && b <= c; predicate fourInOrder(integer a, integer b, integer c, integer d) = inInterval(b,a,c) && inInterval(c,b,d); predicate controlledEquality(integer a, integer b, boolean c) = a == b || c; */ /*@ requires inInterval(a,b,c); requires inInterval(c,a,d); ensures fourInOrder(\result,a,c,d); */
int toto(int a, int b, int c, int d){ return b; }
true
3
3
int toto(int a, int b, int c, int d){ return b; }
/*@ predicate inInterval(integer a, integer b, integer c) = a >= b && b <= c; predicate fourInOrder(integer a, integer b, integer c, integer d) = inInterval(b,a,c) && inInterval(c,b,d); predicate controlledEquality(integer a, integer b, boolean c) = a == b || c; */ /*@ requires inInterval(a,b,c); requires inInterval(c,a,d); ensures fourInOrder(\result,a,c,d); */
frama_c_files_v2/test_frama_c_1446.c
/*@ requires i > sizeof(int); @ ensures \result > sizeof(i); @*/ int f(int i) { return i; }
/*@ requires i > sizeof(int); @ ensures \result > sizeof(i); @*/
int f(int i) { return i; }
true
3
3
int f(int i) { return i; }
/*@ requires i > sizeof(int); @ ensures \result > sizeof(i); @*/
frama_c_files_v2/test_frama_c_1097.c
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, integer x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate eq_vec_Int(int * x15, int x16, int * x17, int x18) = ((x16==x18) && (\forall int x22; (0<=x22<x16) ==> (x15[x22]==x17[x22])));*/ /*@ requires (inv_vec_Int(x15,x16) && inv_vec_Int(x17,x18)); assigns \nothing; ensures (inv_vec_Int(x15,x16) && inv_vec_Int(x17,x18)); ensures \result <==> eq_vec_Int(x15, x16, x17, x18); */ int eq_vec_Int(int * x15, int x16, int * x17, int x18) { int x20 = x16 == x18; int x31; if (x20) { int x30 = 1; /*@ loop invariant (0 <= x23 <= x16); loop invariant \forall int x22; (0 <= x22 < x23) ==> (x15[x22]==x17[x22]); loop invariant x30==1; loop assigns x23, x30; loop variant (x16-x23); */ for (int x23 = 0; x23 < x16; x23++) { int x27 = x15[x23]; int x28 = x17[x23]; int x29 = x27 == x28; if (!x29) { x30 = 0; break; } } x31 = x30; } else { x31 = 0/*false*/; } return x31; }
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, integer x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate eq_vec_Int(int * x15, int x16, int * x17, int x18) = ((x16==x18) && (\forall int x22; (0<=x22<x16) ==> (x15[x22]==x17[x22])));*/ /*@ requires (inv_vec_Int(x15,x16) && inv_vec_Int(x17,x18)); assigns \nothing; ensures (inv_vec_Int(x15,x16) && inv_vec_Int(x17,x18)); ensures \result <==> eq_vec_Int(x15, x16, x17, x18); */
int eq_vec_Int(int * x15, int x16, int * x17, int x18) { int x20 = x16 == x18; int x31; if (x20) { int x30 = 1; /*@ loop invariant (0 <= x23 <= x16); loop invariant \forall int x22; (0 <= x22 < x23) ==> (x15[x22]==x17[x22]); loop invariant x30==1; loop assigns x23, x30; loop variant (x16-x23); */ for (int x23 = 0; x23 < x16; x23++) { int x27 = x15[x23]; int x28 = x17[x23]; int x29 = x27 == x28; if (!x29) { x30 = 0; break; } } x31 = x30; } else { x31 = 0/*false*/; } return x31; }
true
20
20
int eq_vec_Int(int * x15, int x16, int * x17, int x18) { int x20 = x16 == x18; int x31; if (x20) { int x30 = 1; /*@ loop invariant (0 <= x23 <= x16); loop invariant \forall int x22; (0 <= x22 < x23) ==> (x15[x22]==x17[x22]); loop invariant x30==1; loop assigns x23, x30; loop variant (x16-x23); */ for (int x23 = 0; x23 < x16; x23++) { int x27 = x15[x23]; int x28 = x17[x23]; int x29 = x27 == x28; if (!x29) { x30 = 0; break; } } x31 = x30; } else { x31 = 0/*false*/; } return x31; }
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, integer x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate eq_vec_Int(int * x15, int x16, int * x17, int x18) = ((x16==x18) && (\forall int x22; (0<=x22<x16) ==> (x15[x22]==x17[x22])));*/ /*@ requires (inv_vec_Int(x15,x16) && inv_vec_Int(x17,x18)); assigns \nothing; ensures (inv_vec_Int(x15,x16) && inv_vec_Int(x17,x18)); ensures \result <==> eq_vec_Int(x15, x16, x17, x18); */
frama_c_files_v2/test_frama_c_2926.c
#include <stddef.h> /*@ requires \valid(s + (0 .. length - 1)); requires \valid(stack + (0 .. length - 1)); requires \valid(left + (0 .. length - 1)); requires \separated(stack + (0 .. length - 1),left + (0 .. length - 1)); requires \separated(stack + (0 .. length - 1), s + (0 .. length - 1)); requires \separated(left + (0 .. length - 1), s + (0 .. length - 1)); assigns stack[0 .. length - 1], left[0 .. length - 1]; ensures wf_left: \forall integer i; 0 <= i < length ==> 0 <= left[i] <= i; ensures left_small: \forall integer i; 0 <= i < length ==> 0 < left[i] ==> left[i] > 0 ==> s[left[i]-1] < s[i]; ensures left_smallest: \forall integer i; 0 <= i < length ==> \forall integer j; left[i] <= j < i ==> s[j] >= s[i]; */ void neighbor(int* s, size_t length, size_t* stack, size_t* left) { size_t sidx = 0; /*@ loop invariant s_untouched: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); loop invariant 0 <= x <= length; loop invariant 0 <= sidx <= x; loop invariant stack_left: \forall integer i; 0 <= i < sidx ==> 0 < stack[i] <= x; loop invariant wf_left: \forall integer i; 0 <= i < x ==> 0 <= left[i] <= i; loop invariant left_small: \forall integer i; 0 <= i < x ==> left[i] > 0 ==> s[left[i] - 1] < s[i]; loop invariant left_smallest: \forall integer i; 0 <= i < x ==> \forall integer j; left[i] <= j < i ==> s[j] >= s[i]; loop invariant stack_order: \forall integer i, j; 0<= i < j < sidx ==> 0 <= stack[i] < stack[j]; loop invariant stack_sorder: \forall integer i, j; 0<= i < j < sidx ==> s[stack[i]-1] < s[stack[j]-1]; loop invariant s_begin: sidx > 0 ==> \forall integer i; 0<=i<stack[0] ==> s[i] >= s[stack[0] - 1]; loop invariant step_n: x > 0 ==> sidx > 0 && stack[sidx - 1] == x; loop invariant stack_summary: \forall integer i; 0<= i < sidx - 1 ==> \forall integer j; stack[i] <= j < stack[i+1]-1 ==> s[j] >= s[stack[i+1]-1]; loop invariant stack_push: sidx > 0 ==> stack[sidx-1] == x; loop assigns x, sidx, stack[0 .. length - 1], left[0 .. length - 1]; loop variant length - x; */ for (size_t x = 0; x < length; x++) { /*@ loop invariant s_untouched_inner: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); loop invariant 0 <= sidx <= \at(sidx,LoopEntry); loop invariant left_bigger: sidx > 0 ==> \forall integer i; stack[sidx-1] <= i < x ==> s[i] >= s[x]; loop invariant stack_empty: sidx == 0 ==> \forall integer i; 0 <= i < x ==> s[i] >= s[x]; loop assigns sidx; loop variant sidx; */ while (sidx > 0 && s[stack[sidx-1]-1] >= s[x]) sidx--; if (sidx == 0) { left[x] = 0; } else { /*@ assert head_ok: \forall integer i; stack[sidx-1]<=i<x ==> s[i] >= s[x]; */ left[x] = stack[sidx - 1]; } //@ assert a1: left[x] > 0 ==> s[left[x] - 1] < s[x]; label: stack[sidx] = x + 1; /*@ assert s_untouched: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); */ //@ assert same: left[x] == \at(left[x], label); //@ assert a2: left[x] > 0 ==> s[left[x] - 1] < s[x]; sidx++; } }
#include <stddef.h> /*@ requires \valid(s + (0 .. length - 1)); requires \valid(stack + (0 .. length - 1)); requires \valid(left + (0 .. length - 1)); requires \separated(stack + (0 .. length - 1),left + (0 .. length - 1)); requires \separated(stack + (0 .. length - 1), s + (0 .. length - 1)); requires \separated(left + (0 .. length - 1), s + (0 .. length - 1)); assigns stack[0 .. length - 1], left[0 .. length - 1]; ensures wf_left: \forall integer i; 0 <= i < length ==> 0 <= left[i] <= i; ensures left_small: \forall integer i; 0 <= i < length ==> 0 < left[i] ==> left[i] > 0 ==> s[left[i]-1] < s[i]; ensures left_smallest: \forall integer i; 0 <= i < length ==> \forall integer j; left[i] <= j < i ==> s[j] >= s[i]; */
void neighbor(int* s, size_t length, size_t* stack, size_t* left) { size_t sidx = 0; /*@ loop invariant s_untouched: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); loop invariant 0 <= x <= length; loop invariant 0 <= sidx <= x; loop invariant stack_left: \forall integer i; 0 <= i < sidx ==> 0 < stack[i] <= x; loop invariant wf_left: \forall integer i; 0 <= i < x ==> 0 <= left[i] <= i; loop invariant left_small: \forall integer i; 0 <= i < x ==> left[i] > 0 ==> s[left[i] - 1] < s[i]; loop invariant left_smallest: \forall integer i; 0 <= i < x ==> \forall integer j; left[i] <= j < i ==> s[j] >= s[i]; loop invariant stack_order: \forall integer i, j; 0<= i < j < sidx ==> 0 <= stack[i] < stack[j]; loop invariant stack_sorder: \forall integer i, j; 0<= i < j < sidx ==> s[stack[i]-1] < s[stack[j]-1]; loop invariant s_begin: sidx > 0 ==> \forall integer i; 0<=i<stack[0] ==> s[i] >= s[stack[0] - 1]; loop invariant step_n: x > 0 ==> sidx > 0 && stack[sidx - 1] == x; loop invariant stack_summary: \forall integer i; 0<= i < sidx - 1 ==> \forall integer j; stack[i] <= j < stack[i+1]-1 ==> s[j] >= s[stack[i+1]-1]; loop invariant stack_push: sidx > 0 ==> stack[sidx-1] == x; loop assigns x, sidx, stack[0 .. length - 1], left[0 .. length - 1]; loop variant length - x; */ for (size_t x = 0; x < length; x++) { /*@ loop invariant s_untouched_inner: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); loop invariant 0 <= sidx <= \at(sidx,LoopEntry); loop invariant left_bigger: sidx > 0 ==> \forall integer i; stack[sidx-1] <= i < x ==> s[i] >= s[x]; loop invariant stack_empty: sidx == 0 ==> \forall integer i; 0 <= i < x ==> s[i] >= s[x]; loop assigns sidx; loop variant sidx; */ while (sidx > 0 && s[stack[sidx-1]-1] >= s[x]) sidx--; if (sidx == 0) { left[x] = 0; } else { /*@ assert head_ok: \forall integer i; stack[sidx-1]<=i<x ==> s[i] >= s[x]; */ left[x] = stack[sidx - 1]; } //@ assert a1: left[x] > 0 ==> s[left[x] - 1] < s[x]; label: stack[sidx] = x + 1; /*@ assert s_untouched: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); */ //@ assert same: left[x] == \at(left[x], label); //@ assert a2: left[x] > 0 ==> s[left[x] - 1] < s[x]; sidx++; } }
true
62
62
void neighbor(int* s, size_t length, size_t* stack, size_t* left) { size_t sidx = 0; /*@ loop invariant s_untouched: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); loop invariant 0 <= x <= length; loop invariant 0 <= sidx <= x; loop invariant stack_left: \forall integer i; 0 <= i < sidx ==> 0 < stack[i] <= x; loop invariant wf_left: \forall integer i; 0 <= i < x ==> 0 <= left[i] <= i; loop invariant left_small: \forall integer i; 0 <= i < x ==> left[i] > 0 ==> s[left[i] - 1] < s[i]; loop invariant left_smallest: \forall integer i; 0 <= i < x ==> \forall integer j; left[i] <= j < i ==> s[j] >= s[i]; loop invariant stack_order: \forall integer i, j; 0<= i < j < sidx ==> 0 <= stack[i] < stack[j]; loop invariant stack_sorder: \forall integer i, j; 0<= i < j < sidx ==> s[stack[i]-1] < s[stack[j]-1]; loop invariant s_begin: sidx > 0 ==> \forall integer i; 0<=i<stack[0] ==> s[i] >= s[stack[0] - 1]; loop invariant step_n: x > 0 ==> sidx > 0 && stack[sidx - 1] == x; loop invariant stack_summary: \forall integer i; 0<= i < sidx - 1 ==> \forall integer j; stack[i] <= j < stack[i+1]-1 ==> s[j] >= s[stack[i+1]-1]; loop invariant stack_push: sidx > 0 ==> stack[sidx-1] == x; loop assigns x, sidx, stack[0 .. length - 1], left[0 .. length - 1]; loop variant length - x; */ for (size_t x = 0; x < length; x++) { /*@ loop invariant s_untouched_inner: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); loop invariant 0 <= sidx <= \at(sidx,LoopEntry); loop invariant left_bigger: sidx > 0 ==> \forall integer i; stack[sidx-1] <= i < x ==> s[i] >= s[x]; loop invariant stack_empty: sidx == 0 ==> \forall integer i; 0 <= i < x ==> s[i] >= s[x]; loop assigns sidx; loop variant sidx; */ while (sidx > 0 && s[stack[sidx-1]-1] >= s[x]) sidx--; if (sidx == 0) { left[x] = 0; } else { /*@ assert head_ok: \forall integer i; stack[sidx-1]<=i<x ==> s[i] >= s[x]; */ left[x] = stack[sidx - 1]; } //@ assert a1: left[x] > 0 ==> s[left[x] - 1] < s[x]; label: stack[sidx] = x + 1; /*@ assert s_untouched: \forall integer idx; 0 <= idx < length ==> s[idx] == \at(s[idx],Pre); */ //@ assert same: left[x] == \at(left[x], label); //@ assert a2: left[x] > 0 ==> s[left[x] - 1] < s[x]; sidx++; } }
#include <stddef.h> /*@ requires \valid(s + (0 .. length - 1)); requires \valid(stack + (0 .. length - 1)); requires \valid(left + (0 .. length - 1)); requires \separated(stack + (0 .. length - 1),left + (0 .. length - 1)); requires \separated(stack + (0 .. length - 1), s + (0 .. length - 1)); requires \separated(left + (0 .. length - 1), s + (0 .. length - 1)); assigns stack[0 .. length - 1], left[0 .. length - 1]; ensures wf_left: \forall integer i; 0 <= i < length ==> 0 <= left[i] <= i; ensures left_small: \forall integer i; 0 <= i < length ==> 0 < left[i] ==> left[i] > 0 ==> s[left[i]-1] < s[i]; ensures left_smallest: \forall integer i; 0 <= i < length ==> \forall integer j; left[i] <= j < i ==> s[j] >= s[i]; */
frama_c_files_v2/test_frama_c_1445.c
/* run.config DONTRUN: linked with first which is the real test. */ /*@ behavior b: requires \valid(third); ensures \result == 0;*/ int bar(int *third) { third=(int*)*third; return 0; }
/*@ behavior b: requires \valid(third); ensures \result == 0;*/
int bar(int *third) { third=(int*)*third; return 0; }
true
4
4
int bar(int *third) { third=(int*)*third; return 0; }
/*@ behavior b: requires \valid(third); ensures \result == 0;*/
frama_c_files_v2/test_frama_c_2220.c
/*@ predicate pcond1(integer p) = (p>0)?\true:\false ; @ predicate pcond2(integer p) = (p<10)?\true:\false ; @*/ /*@ //// ensures (pcond1(x) && pcond2(y)) ==> \result == 1 ; @ ensures \result == 1 <==> pcond1(x) && pcond2(y); @*/ int ftest1(int x, int y) { return (x>0 && y<10); } /*@ predicate pcond3(integer p) = p > 0; @ predicate pcond4(integer p) = p < 10; @*/ /*@ behavior ok: @ assumes pcond3(x) && pcond4(y); @ ensures \result == 1; @ behavior ko: @ assumes !pcond3(x) || !pcond4(y); @ ensures \result == 0; @*/ int ftest2(int x, int y) { return (x>0 && y<10); }
/*@ predicate pcond1(integer p) = (p>0)?\true:\false ; @ predicate pcond2(integer p) = (p<10)?\true:\false ; @*/ /*@ //// ensures (pcond1(x) && pcond2(y)) ==> \result == 1 ; @ ensures \result == 1 <==> pcond1(x) && pcond2(y); @*/
int ftest1(int x, int y) { return (x>0 && y<10); }
true
3
3
int ftest1(int x, int y) { return (x>0 && y<10); }
/*@ predicate pcond1(integer p) = (p>0)?\true:\false ; @ predicate pcond2(integer p) = (p<10)?\true:\false ; @*/ /*@ //// ensures (pcond1(x) && pcond2(y)) ==> \result == 1 ; @ ensures \result == 1 <==> pcond1(x) && pcond2(y); @*/
frama_c_files_v2/test_frama_c_2220.c
/*@ predicate pcond1(integer p) = (p>0)?\true:\false ; @ predicate pcond2(integer p) = (p<10)?\true:\false ; @*/ /*@ //// ensures (pcond1(x) && pcond2(y)) ==> \result == 1 ; @ ensures \result == 1 <==> pcond1(x) && pcond2(y); @*/ int ftest1(int x, int y) { return (x>0 && y<10); } /*@ predicate pcond3(integer p) = p > 0; @ predicate pcond4(integer p) = p < 10; @*/ /*@ behavior ok: @ assumes pcond3(x) && pcond4(y); @ ensures \result == 1; @ behavior ko: @ assumes !pcond3(x) || !pcond4(y); @ ensures \result == 0; @*/ int ftest2(int x, int y) { return (x>0 && y<10); }
/*@ predicate pcond1(integer p) = (p>0)?\true:\false ; @ predicate pcond2(integer p) = (p<10)?\true:\false ; @*/ /*@ //// ensures (pcond1(x) && pcond2(y)) ==> \result == 1 ; @ ensures \result == 1 <==> pcond1(x) && pcond2(y); @*/ int ftest1(int x, int y) { return (x>0 && y<10); } /*@ predicate pcond3(integer p) = p > 0; @ predicate pcond4(integer p) = p < 10; @*/ /*@ behavior ok: @ assumes pcond3(x) && pcond4(y); @ ensures \result == 1; @ behavior ko: @ assumes !pcond3(x) || !pcond4(y); @ ensures \result == 0; @*/
int ftest2(int x, int y) { return (x>0 && y<10); }
true
7
7
int ftest2(int x, int y) { return (x>0 && y<10); }
/*@ predicate pcond1(integer p) = (p>0)?\true:\false ; @ predicate pcond2(integer p) = (p<10)?\true:\false ; @*/ /*@ //// ensures (pcond1(x) && pcond2(y)) ==> \result == 1 ; @ ensures \result == 1 <==> pcond1(x) && pcond2(y); @*/ int ftest1(int x, int y) { return (x>0 && y<10); } /*@ predicate pcond3(integer p) = p > 0; @ predicate pcond4(integer p) = p < 10; @*/ /*@ behavior ok: @ assumes pcond3(x) && pcond4(y); @ ensures \result == 1; @ behavior ko: @ assumes !pcond3(x) || !pcond4(y); @ ensures \result == 0; @*/
frama_c_files_v2/test_frama_c_1144.c
/*@ requires n > 0; @ ensures \result == \max(0,n-1,\lambda integer k; t[k]); @*/ double max_array(double t[], int n) { double m; int i=0; goto L; do { if (t[i] > m) { L: m = t[i]; } /*@ invariant @ 0 <= i < n && m == \max(0,i,\lambda integer k; t[k]); @*/ i++; } while (i < n); return m; }
/*@ requires n > 0; @ ensures \result == \max(0,n-1,\lambda integer k; t[k]); @*/
double max_array(double t[], int n) { double m; int i=0; goto L; do { if (t[i] > m) { L: m = t[i]; } /*@ invariant @ 0 <= i < n && m == \max(0,i,\lambda integer k; t[k]); @*/ i++; } while (i < n); return m; }
true
1
1
double max_array(double t[], int n) { double m; int i=0; goto L; do { if (t[i] > m) { L: m = t[i]; } /*@ invariant @ 0 <= i < n && m == \max(0,i,\lambda integer k; t[k]); @*/ i++; } while (i < n); return m; }
/*@ requires n > 0; @ ensures \result == \max(0,n-1,\lambda integer k; t[k]); @*/
frama_c_files_v2/test_frama_c_130.c
#include<stdio.h> enum kind {vowel,consonent}; /*@ requires c>='a' && c<='z'; behavior vowel: assumes c=={'a','e','i','o','u'}; ensures \result==vowel; behavior consonent: assumes c=={'b','c','d','f','g','h','j','k','l','m','n','p','q','r','s','t','v','w','x','y','z'}; ensures \result==consonent; disjoint behaviors; */ enum kind kind_of_letter(char c){ if(c=='a' || c=='e' || c=='i' || c=='o' || c=='u'){ return vowel; } else{ return consonent; } } /*@ behavior q1: assumes x>=0 &&y>0; ensures \result==1; behavior q2: assumes x<0 &&y>=0; ensures \result==2; behavior q3: assumes x<=0 &&y<0; ensures \result==3; behavior q4: assumes x>0 &&y<=0; ensures \result==4; behavior q0: assumes x==0 &&y==0; ensures \result==0; complete behaviors; */ int quadrant(int x,int y){ /* *Basically remember to check for the logical constrains of quadrants */ if(x>=0 && y>0) return 1; else if (x<0 && y>=0) return 2; else if (x<=0 && y<0) return 3; else if (x==0 && y==0) return 0; else return 4; }
#include<stdio.h> enum kind {vowel,consonent}; /*@ requires c>='a' && c<='z'; behavior vowel: assumes c=={'a','e','i','o','u'}; ensures \result==vowel; behavior consonent: assumes c=={'b','c','d','f','g','h','j','k','l','m','n','p','q','r','s','t','v','w','x','y','z'}; ensures \result==consonent; disjoint behaviors; */
enum kind kind_of_letter(char c){ if(c=='a' || c=='e' || c=='i' || c=='o' || c=='u'){ return vowel; } else{ return consonent; } }
true
5
5
enum kind kind_of_letter(char c){ if(c=='a' || c=='e' || c=='i' || c=='o' || c=='u'){ return vowel; } else{ return consonent; } }
#include<stdio.h> enum kind {vowel,consonent}; /*@ requires c>='a' && c<='z'; behavior vowel: assumes c=={'a','e','i','o','u'}; ensures \result==vowel; behavior consonent: assumes c=={'b','c','d','f','g','h','j','k','l','m','n','p','q','r','s','t','v','w','x','y','z'}; ensures \result==consonent; disjoint behaviors; */
frama_c_files_v2/test_frama_c_130.c
#include<stdio.h> enum kind {vowel,consonent}; /*@ requires c>='a' && c<='z'; behavior vowel: assumes c=={'a','e','i','o','u'}; ensures \result==vowel; behavior consonent: assumes c=={'b','c','d','f','g','h','j','k','l','m','n','p','q','r','s','t','v','w','x','y','z'}; ensures \result==consonent; disjoint behaviors; */ enum kind kind_of_letter(char c){ if(c=='a' || c=='e' || c=='i' || c=='o' || c=='u'){ return vowel; } else{ return consonent; } } /*@ behavior q1: assumes x>=0 &&y>0; ensures \result==1; behavior q2: assumes x<0 &&y>=0; ensures \result==2; behavior q3: assumes x<=0 &&y<0; ensures \result==3; behavior q4: assumes x>0 &&y<=0; ensures \result==4; behavior q0: assumes x==0 &&y==0; ensures \result==0; complete behaviors; */ int quadrant(int x,int y){ /* *Basically remember to check for the logical constrains of quadrants */ if(x>=0 && y>0) return 1; else if (x<0 && y>=0) return 2; else if (x<=0 && y<0) return 3; else if (x==0 && y==0) return 0; else return 4; }
#include<stdio.h> enum kind {vowel,consonent}; /*@ requires c>='a' && c<='z'; behavior vowel: assumes c=={'a','e','i','o','u'}; ensures \result==vowel; behavior consonent: assumes c=={'b','c','d','f','g','h','j','k','l','m','n','p','q','r','s','t','v','w','x','y','z'}; ensures \result==consonent; disjoint behaviors; */ enum kind kind_of_letter(char c){ if(c=='a' || c=='e' || c=='i' || c=='o' || c=='u'){ return vowel; } else{ return consonent; } } /*@ behavior q1: assumes x>=0 &&y>0; ensures \result==1; behavior q2: assumes x<0 &&y>=0; ensures \result==2; behavior q3: assumes x<=0 &&y<0; ensures \result==3; behavior q4: assumes x>0 &&y<=0; ensures \result==4; behavior q0: assumes x==0 &&y==0; ensures \result==0; complete behaviors; */
int quadrant(int x,int y){ /* *Basically remember to check for the logical constrains of quadrants */ if(x>=0 && y>0) return 1; else if (x<0 && y>=0) return 2; else if (x<=0 && y<0) return 3; else if (x==0 && y==0) return 0; else return 4; }
true
13
13
int quadrant(int x,int y){ /* *Basically remember to check for the logical constrains of quadrants */ if(x>=0 && y>0) return 1; else if (x<0 && y>=0) return 2; else if (x<=0 && y<0) return 3; else if (x==0 && y==0) return 0; else return 4; }
#include<stdio.h> enum kind {vowel,consonent}; /*@ requires c>='a' && c<='z'; behavior vowel: assumes c=={'a','e','i','o','u'}; ensures \result==vowel; behavior consonent: assumes c=={'b','c','d','f','g','h','j','k','l','m','n','p','q','r','s','t','v','w','x','y','z'}; ensures \result==consonent; disjoint behaviors; */ enum kind kind_of_letter(char c){ if(c=='a' || c=='e' || c=='i' || c=='o' || c=='u'){ return vowel; } else{ return consonent; } } /*@ behavior q1: assumes x>=0 &&y>0; ensures \result==1; behavior q2: assumes x<0 &&y>=0; ensures \result==2; behavior q3: assumes x<=0 &&y<0; ensures \result==3; behavior q4: assumes x>0 &&y<=0; ensures \result==4; behavior q0: assumes x==0 &&y==0; ensures \result==0; complete behaviors; */
frama_c_files_v2/test_frama_c_1650.c
/*@ predicate Positive(int a) = 0 < a; */ /*@ predicate Positive(short a) = 0 < a; */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */ int foo(short a) { return a; } struct Pair { int first, second; }; typedef struct Pair Pair; /*@ predicate Positive(Pair p) = Positive(p.first) && Positive(p.second); */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */ Pair bar(int a) { Pair p; p.first = a; p.second = a; return p; }
/*@ predicate Positive(int a) = 0 < a; */ /*@ predicate Positive(short a) = 0 < a; */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */
int foo(short a) { return a; }
true
4
4
int foo(short a) { return a; }
/*@ predicate Positive(int a) = 0 < a; */ /*@ predicate Positive(short a) = 0 < a; */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */
frama_c_files_v2/test_frama_c_1650.c
/*@ predicate Positive(int a) = 0 < a; */ /*@ predicate Positive(short a) = 0 < a; */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */ int foo(short a) { return a; } struct Pair { int first, second; }; typedef struct Pair Pair; /*@ predicate Positive(Pair p) = Positive(p.first) && Positive(p.second); */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */ Pair bar(int a) { Pair p; p.first = a; p.second = a; return p; }
typedef struct Pair Pair; /*@ predicate Positive(int a) = 0 < a; */ /*@ predicate Positive(short a) = 0 < a; */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */ int foo(short a) { return a; } struct Pair { int first, second; }; typedef struct Pair Pair; /*@ predicate Positive(Pair p) = Positive(p.first) && Positive(p.second); */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */
Pair bar(int a) { Pair p; p.first = a; p.second = a; return p; }
true
9
9
Pair bar(int a) { Pair p; p.first = a; p.second = a; return p; }
typedef struct Pair Pair; /*@ predicate Positive(int a) = 0 < a; */ /*@ predicate Positive(short a) = 0 < a; */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */ int foo(short a) { return a; } struct Pair { int first, second; }; typedef struct Pair Pair; /*@ predicate Positive(Pair p) = Positive(p.first) && Positive(p.second); */ /*@ requires Positive(a); assigns \nothing; ensures Positive(\result); */
frama_c_files_v2/test_frama_c_2017.c
/*@ requires \valid(a) && \valid(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 a = 37; int b = 91; swap(&a, &b); }
/*@ requires \valid(a) && \valid(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); assigns *a, *b; ensures *a == \old(*b) && *b == \old(*a); */
frama_c_files_v2/test_frama_c_2161.c
/*@ //requires \nothing; requires \true; assigns \nothing; ensures \result == \max(a, b) - \min(a, b); */ unsigned distance(unsigned a, unsigned b) { return (a > b) ? (a - b) : (b - a); } #ifdef OUT_OF_TASK #include <stdio.h> int main(void) { printf("res: %d\n", distance(100, 80)); return 0; } #endif
#include <stdio.h> /*@ //requires \nothing; requires \true; 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); }
#include <stdio.h> /*@ //requires \nothing; requires \true; assigns \nothing; ensures \result == \max(a, b) - \min(a, b); */
frama_c_files_v2/test_frama_c_915.c
#include <limits.h> /*@ requires \valid(x0+(0..1)); ensures ((x0[0]==\old(x0[1])) && (x0[1]==\old(x0[0]))); */ void array_swap(int * x0) { int x2 = x0[0]; int x3 = x0[1]; x0[0] = x3; x0[1] = x2; }
#include <limits.h> /*@ requires \valid(x0+(0..1)); ensures ((x0[0]==\old(x0[1])) && (x0[1]==\old(x0[0]))); */
void array_swap(int * x0) { int x2 = x0[0]; int x3 = x0[1]; x0[0] = x3; x0[1] = x2; }
true
7
7
void array_swap(int * x0) { int x2 = x0[0]; int x3 = x0[1]; x0[0] = x3; x0[1] = x2; }
#include <limits.h> /*@ requires \valid(x0+(0..1)); ensures ((x0[0]==\old(x0[1])) && (x0[1]==\old(x0[0]))); */
frama_c_files_v2/test_frama_c_1622.c
/*@ requires d > 0; assigns \nothing; ensures 0 <= \result < d; */ static inline unsigned int inverse_modulo(unsigned int n, unsigned int d) { return d - 1 - (n % d); }
/*@ requires d > 0; assigns \nothing; ensures 0 <= \result < d; */
static inline unsigned int inverse_modulo(unsigned int n, unsigned int d) { return d - 1 - (n % d); }
true
5
5
static inline unsigned int inverse_modulo(unsigned int n, unsigned int d) { return d - 1 - (n % d); }
/*@ requires d > 0; assigns \nothing; ensures 0 <= \result < d; */
frama_c_files_v2/test_frama_c_1766.c
/*@ ensures \result >= x && \result >= y; ensures \result == x || \result == y; */ int max (int x, int y) { return (x > y) ? x : y; }
/*@ ensures \result >= x && \result >= y; ensures \result == x || \result == y; */
int max (int x, int y) { return (x > y) ? x : y; }
true
4
4
int max (int x, int y) { return (x > y) ? x : y; }
/*@ ensures \result >= x && \result >= y; ensures \result == x || \result == y; */
frama_c_files_v2/test_frama_c_282.c
/*@ predicate sorted(int *t,integer i,integer j) = @ \forall integer k, integer l; i <= k < l <= j ==> t[k] <= t[l]; @*/ /*@ requires N >= 1 && \valid(A+(0..N-1)); @ assigns A[0..N-1]; @ ensures sorted(A,0,N-1); @*/ void insertionSort(int A[], int N) { int i, j, key; /*@ loop invariant @ 1 <= j <= N && sorted(A, 0, j-1); @ loop assigns @ j, key, i, A[0..N-1]; @ loop variant @ N-j; @*/ for (j=1 ; j<N ; j++) { key = A[j]; i = j-1; /*@ loop invariant -1 <= i <= j-1; @ loop invariant i == j-1 ==> sorted(A, 0, j-1); @ loop invariant i < j-1 ==> sorted(A, 0, j); @ loop invariant \forall int k; i < k < j ==> A[k] > key; @ loop assigns i, A[1..j]; @ loop variant i; @*/ while (i>=0 && A[i] > key) { A[i+1] = A[i]; i--; } A[i+1] = key; } }
/*@ predicate sorted(int *t,integer i,integer j) = @ \forall integer k, integer l; i <= k < l <= j ==> t[k] <= t[l]; @*/ /*@ requires N >= 1 && \valid(A+(0..N-1)); @ assigns A[0..N-1]; @ ensures sorted(A,0,N-1); @*/
void insertionSort(int A[], int N) { int i, j, key; /*@ loop invariant @ 1 <= j <= N && sorted(A, 0, j-1); @ loop assigns @ j, key, i, A[0..N-1]; @ loop variant @ N-j; @*/ for (j=1 ; j<N ; j++) { key = A[j]; i = j-1; /*@ loop invariant -1 <= i <= j-1; @ loop invariant i == j-1 ==> sorted(A, 0, j-1); @ loop invariant i < j-1 ==> sorted(A, 0, j); @ loop invariant \forall int k; i < k < j ==> A[k] > key; @ loop assigns i, A[1..j]; @ loop variant i; @*/ while (i>=0 && A[i] > key) { A[i+1] = A[i]; i--; } A[i+1] = key; } }
true
36
36
void insertionSort(int A[], int N) { int i, j, key; /*@ loop invariant @ 1 <= j <= N && sorted(A, 0, j-1); @ loop assigns @ j, key, i, A[0..N-1]; @ loop variant @ N-j; @*/ for (j=1 ; j<N ; j++) { key = A[j]; i = j-1; /*@ loop invariant -1 <= i <= j-1; @ loop invariant i == j-1 ==> sorted(A, 0, j-1); @ loop invariant i < j-1 ==> sorted(A, 0, j); @ loop invariant \forall int k; i < k < j ==> A[k] > key; @ loop assigns i, A[1..j]; @ loop variant i; @*/ while (i>=0 && A[i] > key) { A[i+1] = A[i]; i--; } A[i+1] = key; } }
/*@ predicate sorted(int *t,integer i,integer j) = @ \forall integer k, integer l; i <= k < l <= j ==> t[k] <= t[l]; @*/ /*@ requires N >= 1 && \valid(A+(0..N-1)); @ assigns A[0..N-1]; @ ensures sorted(A,0,N-1); @*/
frama_c_files_v2/test_frama_c_2313.c
/*@ requires \pointer_comparable((void*)p,(void*)q) && \is_finite(*p) ; */ void f(float*p, char const * q) { return; }
/*@ requires \pointer_comparable((void*)p,(void*)q) && \is_finite(*p) ; */
void f(float*p, char const * q) { return; }
true
2
2
void f(float*p, char const * q) { return; }
/*@ requires \pointer_comparable((void*)p,(void*)q) && \is_finite(*p) ; */
frama_c_files_v2/test_frama_c_1992.c
/*@ requires \valid(t+(0..n-1)) && n > 0; @ ensures (\forall integer i; 0 <= i < n ==> \result <= t[i]) && @ (\exists integer i; 0 <= i < n && \result == t[i]); @ assigns \nothing; */ int getMin(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n && @ (\forall integer j; 0 <= j < i ==> res <= t[j]) && @ (\exists integer j; 0 <= j < i && res == t[j]); @ loop assigns i, res; @ loop variant n - i; @*/ for (int i = 1; i < n; i++) { if (t[i] < res) res = t[i]; } return res; }
/*@ requires \valid(t+(0..n-1)) && n > 0; @ ensures (\forall integer i; 0 <= i < n ==> \result <= t[i]) && @ (\exists integer i; 0 <= i < n && \result == t[i]); @ assigns \nothing; */
int getMin(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n && @ (\forall integer j; 0 <= j < i ==> res <= t[j]) && @ (\exists integer j; 0 <= j < i && res == t[j]); @ loop assigns i, res; @ loop variant n - i; @*/ for (int i = 1; i < n; i++) { if (t[i] < res) res = t[i]; } return res; }
true
13
13
int getMin(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n && @ (\forall integer j; 0 <= j < i ==> res <= t[j]) && @ (\exists integer j; 0 <= j < i && res == t[j]); @ loop assigns i, res; @ loop variant n - i; @*/ for (int i = 1; i < n; i++) { if (t[i] < res) res = t[i]; } return res; }
/*@ requires \valid(t+(0..n-1)) && n > 0; @ ensures (\forall integer i; 0 <= i < n ==> \result <= t[i]) && @ (\exists integer i; 0 <= i < n && \result == t[i]); @ assigns \nothing; */
frama_c_files_v2/test_frama_c_667.c
/*@ requires b != 0; requires b != -1; assigns \nothing; ensures \result == a / b; */ int divide(int a, int b) { return a / b; }
/*@ requires b != 0; requires b != -1; assigns \nothing; ensures \result == a / b; */
int divide(int a, int b) { return a / b; }
true
6
6
int divide(int a, int b) { return a / b; }
/*@ requires b != 0; requires b != -1; assigns \nothing; ensures \result == a / b; */