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/*@ assigns \nothing; ensures \result == \min(\max(min, v), max); */ int clamp(int v, int min, int max) { int low = v > min ? v : min; return low < max ? low : max; }
7
/*@ requires n > 0; assigns \nothing; ensures 0 <= \result && \result < n; */ int pick_index(int n) { return 0; } /*@ requires n > 0 && \valid(p+ (0..n-1)); assigns \nothing; */ int pick_element(int* p, int n) { int i = pick_index(n); //@ assert (0 <= i && i < n); return p[i]; } /*@ requires \vali...
18
/*@ requires n>0 && \valid(s+(0..n-1)) && \valid(t+(0..n-1)); assigns s[0..n-1]; ensures \forall integer i; 0<=i<n ==> s[i]==t[i]; */ void copy1(int s[], int t[], int n) { /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> s[j]==t[j]; loop variant n-i; */ for(int i=0;i<n;...
18
#include <limits.h> #include <string.h> /*@ predicate matcher_ab(char * x0) = ((((x0[0]=='\0')) ? (\false) : (((x0[0]=='a') && \false))) || (((x0[0]=='\0')) ? (\false) : (((x0[0]=='a') && ((((x0+1)[0]=='\0')) ? (\false) : ((((x0+1)[0]=='b') && (((x0+1)+1)[0]=='\0'))))))));*/ /*@ requires ((strlen(x0)>=0) && \valid(x0+...
21
/*@ 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 q2(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...
23
/*@ requires n>0; requires\valid(a+ (0..n-1)); ensures\forall integer i; 0<= i<n-1 ==>a[n-1]>=a[i]; */ void bubbleinnerloop(int a[], int n) { /*@ loop invariant\forall integer i; 0<= i<j ==> a[j]>=a[i];loop invariant 0<=j<=n-1; loop assigns j,a[0..j+1]; loop variant n-1-j; */ for (int j = 0; j < n - 1; j++) ...
24
#include <limits.h> /*@ requires (\valid(x0+x1) && \valid(x0+x2)); ensures ((x0[x1]==\old(x0[x2])) && (x0[x2]==\old(x0[x1]))); assigns x0[x1], x0[x2]; */ void inswap(int * x0, int x1, int x2) { int x4 = x0[x1]; int x5 = x0[x2]; x0[x1] = x5; x0[x2] = x4; } /*@ requires ((x26>0) && \valid(x25+(0..x26-1))); ens...
37
#include<stdio.h> enum type1 {scalene,isoscele,equilateral}; enum type2 {right,acute,obtuse}; /*@ requires a>=b &&a>=c; behavior eq: assumes a==b &&b==c; ensures \result==equilateral; behavior is: assumes a==b && b!=c|| b==c && c!=a|| c==a && a!=b; ensures \result==isoscele; behavior sc: assumes a!=b && b...
30
#define LENGTH 100 int vec[LENGTH]; int max; /*@ requires \valid(u+(0..size-1)) && 0 < size; @ ensures 0 <= \result < size && @ (\forall integer a; 0 <= a < size ==> u[a] <= u[\result]); @ assigns max; @*/ int maxarray(int u[], int size) { int i = 1; max = 0; /*@ loop invariant @ 0...
17
/*@ requires n > 0; requires \valid(t+(0..(n-1))); 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]; */ int min(int * t, int n) { int minInd = 0, i =0; /*@ loop assigns i, minInd; loop invar...
23
#include <limits.h> /*@ assigns \nothing; ensures (\result==(x0*x0)); */ int square(int x0) { int x2 = x0 * x0; return x2; } /*@ assigns \nothing; ensures (\result==(((x6*x6)*x6)*x6)); */ int pow4(int x6) { int x8 = square(x6); int x9 = square(x8); return x9; } /*@ assigns \nothing; ensures (\result==(((x15...
23
/*@ requires 0 <= from <= to; @ requires \valid(s+(0..to-1)); @ ensures -1 == \result || from <= \result < to; @ ensures \result == -1 ==> @ (\forall int i; from <= i < to ==> s[i] != c); @ ensures from <= \result < to ==> @ s[\result] == c && @ (\forall int i; from <= i < \result ==> s[i...
114
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); */ int matcher(char * x0) { int x2 = strlen(x0); int x3 = 0 < x2; int x6; if (x3) { char x4 = x0[0]; int x5 = 'a' == x4; x6 = x5; } else { x6 = 0/*false*/; } int x7; if (x6) { x7 = ...
4
/*@ requires \valid(i) && \valid(j); @ requires r == \null || \valid(r); @ assigns *r; @ behavior zero: @ assumes r == \null; @ assigns \nothing; @ ensures \result == -1; @ behavior normal: @ assumes \valid(r); @ assigns *r; @ ensures *r == ((*i < *j) ? *j : *i); @ ensures \result == 0; @*/ int max2(int *r...
23
/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-ltl tests/aorai/test_switch2.ltl -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ int status=0; int rr=1; //@ global invariant inv : 0<=rr<=50; /*@ requires rr<50; @ behavior j : ...
14
/*@ requires n>0; requires \valid_read(a + (0..n-1)); behavior sorted: assumes \forall integer i; 1<=i<n ==> a[i]>=a[i-1]; ensures \result ==1; behavior unsorted: assumes \exists integer i; 1<=i<n && a[i]< a[i-1]; ensures \result ==0; complete ...
17
/*@ behavior a_less: assumes a<b; ensures \result == a; behavior b_less: assumes a>=b; ensures \result == b; */ int min(int a, int b){ if(a<b) return a; else return b; }
4
/* run.config OPT: -obfuscate */ int my_var = 0; /*@ global invariant I: my_var >= 0; */ enum my_enum { first, second, third = 4 }; /*@ requires my_var > 0; ensures my_var > \old(my_var); ensures \forall integer x; x == x; */ int my_func () { enum my_enum x = first; /*@ assert my_var >= first; */ ...
4
/*@ requires n > 0; requires \valid_read (a + (0..n-1)); requires \valid_read (b + (0..n-1)); assigns \nothing; behavior equal: assumes \forall integer k; 0 <= k < n ==> b[k] == a[k]; ensures \result == 1; behavior not_equal: assumes \exists integer k; 0 <= k < n && ...
4
#include <limits.h> /*@ predicate is_pos(int x0) = (x0>0);*/ /*@ assigns \nothing; ensures \result <==> is_pos(x0); */ int is_pos(int x0) { int x2 = x0 > 0; return x2; } /*@ predicate is_nat(int x3) = (x3>=0);*/ /*@ assigns \nothing; ensures \result <==> is_nat(x3); */ int is_nat(int x3) { int x5 = x3 >= 0; ...
13
/*@ requires \valid(a) && \valid(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=13,b=14; swap(&a,&b); }
10
/* 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 */ /* ************/ #define BOUND 100 /* La fonction [pair(a, len)] prend en entrée un tableau [a] de longueur [len] ne contenant que des valeurs entre 0 e...
37
#define INT_MIN (-2147483648) /*@ requires v != INT_MIN; assigns \nothing; ensures \result == \abs(v); */ int abs(int v) { return v >= 0 ? v : -v; }
6
#include <stdlib.h> #include <ctype.h> #include <stdio.h> #include <stdbool.h> #define boxArea(box) (box >= 1 && box <= 9 ? TRUE : FALSE) #define validCoord(x, y) ((x < 0 || x > N-1 || y < 0 || y > N-1) ? FALSE : TRUE) #define emptyBox(box) (box == ' ' ? TRUE : FALSE) #define OTHER(player) (player == playerX ? playerO...
6
/*@ ensures (('a'<=c && c<='z') || ('A'<=c && c<='Z')) ==> \result==1; ensures !(('a'<=c && c<='z') || ('A'<=c && c<='Z'))==> \result==0; */ int alphabet_letter(char c){ if( ('a'<= c && c <='z') || ('A' <= c && c <='Z') ) return 1; else return 0; } int main(){ int ch ; ch = alphabet_letter('x') ; //@ assert ch==...
9
typedef struct _vc { int n; char* a; } vc; typedef struct _vvc { int n; struct _vc* a; } vvc; /*@ // Invariant and equality spec for Vector[Char] predicate spec_Inv_VC(vc v) = v.n==0 || (v.n>0 && \valid(v.a+(0..v.n-1))); predicate spec_Eq_VC(vc v1, vc v2) = (v1.n==v2.n) && (\fora...
44
#include<assert.h> /*@ @ ensures \result == 1; @ */ int gimmeOne() { return 1; } int main() { int x = gimmeOne(); assert(x == 1); }
6
#include <string.h> /*@ requires strlen(input)>=0 && \valid(input+(0..strlen(input))); assigns \nothing; ensures \result==0 || \result==1; */ int dfa_aabany(char* input) { if (*input == '\0') return 0/*false*/; int id = 0; char c; /*@ loop invariant strlen(input)>0 && \valid(input+(0..strlen(input))); loop ...
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#define value_type unsigned int /////////////// Base definition /*@ @ logic integer occurence{L}( value_type* a, integer l, integer h, value_type e ) = @ l >= h ? 0 : ( a[l] == e ? 1 : 0 ) + occurence( a, l+1, h, e ); @ */ /////// Axioms with functions as proof // range /*@ requires l <= h; @...
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#include <limits.h> #include <string.h> /*@ predicate matcher_a_or_b(char * x0) = ((((x0[0]=='\0')) ? (\false) : (((x0[0]=='a') && ((x0+1)[0]=='\0')))) || (((x0[0]=='\0')) ? (\false) : (((x0[0]=='b') && ((x0+1)[0]=='\0')))));*/ /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..(strlen(x0)+1)-1))); assigns \nothing; ensur...
17
/*@ requires \valid(p) && \valid(q); ensures *p <= *q; behavior p_minimum: assumes *p < *q; ensures *p == \old(*p) && *q == \old(*q); behavior q_minimum: assumes *p >= *q; ensures *p == \old(*q) && *q == \old(*p); complete behaviors p_minimum, q_minimum; disjoint b...
13
#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(x...
26
/*@ requires 0 <= p <= r && \valid(A+(p..r)); @*/ int partition (int A[], int p, int r) { int x = A[r]; int tmp, j, i = p-1; /*@ loop invariant p <= j <= r && p-1 <= i < j; @ loop assigns tmp, i, j, A[p..r]; @ loop variant r-j; @*/ for(j=p; j<r; j++) if (A[j] <= x) { i++; t...
26
/*@ ensures \result >= a && \result >= b ; ensures \result == a || \result == b ; */ int max(int a, int b); extern int v ; int main(){ v = 3; int r = max(4,2); //@ assert v == 3 ; }
3
// TODO : mettre les bonnes annotations... /*@ requires n >= 0; requires \valid_read(src+(0..n-1)); requires \valid(dst+(0..n-1)); assigns dst[0..n-1]; ensures dst[0..n-1] == \old(src[0..n-1]); */ void array_copy(int *src, int *dst, int n) { if (src < dst) { // recopier de droite à gauc...
33
// __out o, __in i /*@ requires \valid(i) && \valid(o); @ assigns *o; @ ensures *o == *i; */ void OutAndIn(int *i, int *o) { *o = *i; } void OutAndIn_test() { int a = 5; int b = 0; OutAndIn(&a, &b); //@ assert a == b; }
10
/* **************************************************************************** MAXIMUM D'UN TABLEAU L'énoncé est introduit sous la forme de commentaires C. Les différents morceaux de programme et de spécification à considérer sont mentionnés en programmation littéraire : ...
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#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_...
66
#include <stdbool.h> /*@ predicate is_equal(int *a, int n, int *b) = \forall integer i; 0 <= i < n ==> a[i] == b[i]; */ /*@ requires n >= 0; requires \valid(a + (0 .. n-1)); requires \valid(b + (0 .. n-1)); assigns \nothing; ensures is_equal(a, n, b) ? \result : !\result; */ bool equal(int *...
66
/*@ requires -1000000000<a<1000000000; requires -1000000000<b<1000000000; ensures b==\result+a && b>a || b==a-\result && a>=b; */ int distance(int a,int b){ if(a < b) return b - a ; else return a - b ; }
7
/*@ 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; loop invariant \forall...
20
#include<string.h> /*@ predicate matchhere(char* r, char* s) = (r[0]=='\0') || (r[0]!='\0' && r[1]=='*' && (\exists int i; 0 <= i <= strlen(s) && matchhere(r+2, s+i) && (r[0]=='.' || (\forall int j; 0 <= j < i ==> r[0]==s[j])))) || (r[0]=='$' && r[1]=='\0' && s[0]=='\0') || ((s[0]!='\0' && (r[0]=='.' || r[0]...
12
/*@ ensures \result==0 || \result==1; assigns \nothing; */ int predicate(int v) { return v % 2 == 0; } /*@ requires n > 0; requires \valid(v+(0..n-1)); requires \valid(o+(0..n-1)); ensures 0 <= \result <= n; ensures \forall int i; 0 <= i < \result ==> 0 <= o[i] < n; ensures \forall int i; 0 ...
31
int m = 0; int t[10]; int *q = &m; /*@ requires *p <= 100 && *p >= -100 && \valid(p); ensures \result == \old(*p)+ 1 ; */ int incr(int *p) { q = p; *p = *p + 1; return *p; };
7
#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(x...
26
#define INT_MAX 2147483647 /*@ requires (a * 2) <= INT_MAX; assigns \nothing; ensures \result == a * 2; */ unsigned lshift(unsigned a) { return a << 1; }
4
struct S { int t1[2]; int t2[2]; }; struct T { struct S *t[2]; }; /*@ requires \valid(s) && \valid(s->t[0]); @*/ void f(struct T *s) { s->t[0]->t1[0] = 1; } int main(struct T s, struct S a) { s.t[0] = &a; f(&s); return 0; } /* on veut : zones globales : Zone 0: {s.t[0]; }; Zone 1: {a.t1[0]; }; ...
7
/*@ requires n>0 && \valid(t+(0..n-1)); ensures \forall integer i; 0<=i<n ==> t[i] == val; */ void fill(int t[],int val,int n) { /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j] == val; loop variant n-i; */ for(int i=0;i<n;i++) { t[i]=val; } }
21
/*@ requires \valid(a) && \valid(b); requires -10000000<*a<10000000 && -10000000<*b<10000000; ensures \result==*a && \result>=*b || \result==*b && \result>=*a; */ int max_ptr(int* a,int* b){ return(*a > *b) ? *a: *b ; } extern int h ; int main(){ h =42; int a =24,b =42; int x= max_ptr(&a,&b); }
11
/*@ requires \valid(a) && \valid(b); assigns *a, *b; ensures *a == \old(*b); ensures *b == \old(*a); */ void swap(int* a, int* b){ int tmp = *a; *a = *b; *b = tmp; } int main(){ int a = 42; int b = 37; swap(&a, &b); //@ assert a == 37 && b == 42; return 0; }
14
// adding the assertions help prove preservation of the loop invariant. assert itself only proved by z3. /*@ axiomatic Predicate_remove_copy { logic integer predicate_remove_copy{La,Lb}(int* a, int* b, integer i_a, integer i_b, int value); axiom predicate_remove_copy_empty{La,Lb}: \fo...
14
#include <limits.h> #include <string.h> char * p_HTTP(char * x1096); char * p_(char * x1098); char * p_ContentLength(char * x1100); /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); assigns \nothing; */ int p(char * x0) { int x2 = -1; char *x3 = p_HTTP(x0); int x5 = 1/*true*/; int x6 = 0; ...
14
/*@ predicate allequ{L}(integer i, int *x, integer res) = @ \forall integer j; (i <= j <= res+i-1) ==> (\at(x[i], L)==\at(x[j], L)); @*/ //Examines equality between between all elemnts in [i,i+res-1] /*@ predicate ismax{L}(integer i, int *x, integer res,integer N) = @ \forall integer j; (0 < j <= N-1 && j!=i) ...
34
#include <string.h> /*@ logic integer d(integer c) = (0 <= c - '0' <= 9) ? c - '0' : -1; logic integer e(integer i) = (0 <= i <= 9) ? i + '0' : ' '; */ /*@ assigns \nothing; ensures -1<=\result<=9; ensures d(c)==\result; */ int d(char c) { return ('0' <= c && c <= '9') ? c - '0' : -1; } /*@ assigns \nothing; ensur...
57
/*@ // Invariant and equality spec for Vector[Char] predicate spec_Inv_VC(char *a1, int n) = n==0 || (n>0 && \valid(a1+(0..n-1))); predicate spec_Eq_VC(char *a1, char *a2, int n1, int n2) = (n1==n2) && (\forall int j; (0<=j<n1) ==> a1[j] == a2[j]); // Invariant and equality spec for Ve...
46
#include <limits.h> /*@ predicate inv_vec_Int(int * x0, int x1) = ((x1==0) || ((x1>0) && \valid(x0+(0..x1-1))));*/ /*@ predicate eq_vec_Int(int * x16, int x17, int * x18, int x19) = ((x17==x19) && (\forall int x23; (0<=x23<x17) ==> (x16[x23]==x18[x23])));*/ /*@ requires (inv_vec_Int(x16,x17) && inv_vec_Int(x18,x1...
44
#include<limits.h> #include<string.h> /*@ predicate star_A(char* s, integer i, integer j) = i==j || (j>i && (s[i]=='A' && star_A(s, i+1, j))); predicate match_aapb(char* s, integer i, integer j) = s[i]=='A' && \exists integer m; i<m<j && star_A(s,i+1,m) && s[m]=='B' && s[m+1]=='\0' && m+1==j; predicate bwd0(char* ...
283
#include <limits.h> #include <string.h> char * p_chunked(char * x1637); char * p_(char * x1639); char * p_TransferEncoding(char * x1641); char * p_ContentLength(char * x1643); char * p_HTTP(char * x1645); /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..(strlen(x0)+1)-1))); assigns \nothing; */ int p(char * x0...
283
/*@ requires \valid(m+(0..3)); requires \valid(v+(0..1)); requires \valid(o+(0..1)); requires \forall int i; \forall int j; 0 <= i < 4 && 0 <= j < 2 ==> \separated(m+i,o+j); requires \forall int i; \forall int j; 0 <= i < 2 && 0 <= j < 2 ==> \separated(v+i,o+j); assigns o[0..1]; ensures o[0] == (m[0] && v[0]) || ...
112
/*@ ensures \result<=a && \result<=b && (\result==a || \result==b); */ int min(int a, int b) { return (a<b)?a:b; }
3
/*@ ensures \result==a || \result==b; */ int max(int a,int b) { if(a==b) return a; return a>b?a:b; }
3
/*@ requires b != 0; requires b != -1; assigns \nothing; ensures \result == a; */ int divmult(int a, int b) { return (a / b) * b + (a % b); }
12
/*@ predicate sorted{L}(int* a, int length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ requires \valid(a+(0..length-1)); requires sorted(a,length); requires length >=0; assigns \nothing; behavior exists: assumes \exists integer i; 0<=i<length && a[i] == key; ensures ...
29
struct Point { int x; int y; int z; }; typedef struct Point Point; /*@ requires \valid(p); assigns p->x; assigns p->y; assigns p->z; ensures p->x == 0; ensures p->y == 0; ensures p->z == 0; */ void init(Point* p) { p->x = 0; p->y = 0; p->z = 0; } /*@ ...
22
#include<string.h> /*@ predicate star_A(char* s, integer i, integer n) = n==0 || (n>0 && (s[i+n-1]=='A' && star_A(s, i, n-1))); predicate match_aapb(char* s) = strlen(s)>=2 && s[0]=='A' && star_A(s,1,strlen(s)-2) && s[strlen(s)-1]=='B'; */ /*@ requires strlen(s)>=0 && \valid(s+(0..strlen(s))); requires 0 <= i; r...
77
#include <limits.h> #include <string.h> /*@ predicate match_w(char * x0) = ((x0[0]=='a') && (x0[1]=='a'));*/ /*@ assigns \nothing; ensures \result <==> match_w(x0); */ int match_w(char * x0) { char x2 = x0[0]; int x3 = x2 == 'a'; int x7; if (x3) { char x4 = x0[1]; int x5 = x4 == 'a'; int x6; i...
77
/* This example contains errors: * For "add" function, x is suppose to be a valid pointer. * * For "incr" function, y should be freed before return. */ #include <stdlib.h> /*@ @ requires val >= 0; @ ensures \result == val + 1; @ */ int add(int * x, int val) { *x = val + 1; return *x; } /*@ requires *...
77
/*@ requires n>0; requires \valid(a + (0..n-1)); ensures \forall integer i; 0<= i<n ==>a[n-1]>= a[i]; */ void selectioninnerloop(int a[], int n) { int max_idx = 0; /*@ loop invariant \forall integer i;0<=i<j ==>a[max_idx]>= a[i]; loop invariant 0<=j<=n; loop assigns m...
77
/*@ requires \valid(arr + (0..size-1)); requires \forall integer i; 0 <= i < size ==> 0 <= arr[i] < size; requires 0 <= addr < size; assigns arr[0..size-1]; ensures arr[\at(arr[addr],Pre)] == 0; */ void indaddr(unsigned size, int arr[size], unsigned addr) { arr[arr[addr]] = 0; }
6
/*@ requires n >= 0 && 0 <= n1 < n && 0 <= n2 < n; requires \valid(a+(0..n-1)); ensures (a[n1] == \old(a[n2]) && a[n2] == \old(a[n1])); */ void array_swap(int n, int a[], int n1, int n2) { int tmp; tmp = a[n1]; a[n1] = a[n2]; a[n2] = tmp; }
7
#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_...
52
/*@ requires n>0 && \valid(p+(0..n-1)); ensures \result==-1 ==> !(\exists int i; 0<=i<n && p[i]==v); ensures \result!=-1 ==> 0 <= \result < n && p[\result]==v; assigns \nothing; */ int member(int* p, int n, int v) { /*@ loop invariant (0 <= i <= n); loop invariant !(\exists int j; 0 <= j < i && p[...
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/*@ behavior first_case: behavior first1_case: assumes num1>num2; assumes num1>num3; ensures \result == num1; behavior first2_case: assumes num1>num2; assumes num1<=num3; ensures \result == num3; behavior second_case: behavior second1_case: assumes num1<=num2; assumes num2>num3; ...
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/* run.config_ci COMMENT: test option -e-acsl-instrument; cannot run Eva on this example LOG: gen_@PTEST_NAME@.c STDOPT:#"-e-acsl-instrument='@@all,-uninstrument1,-uninstrument2'" */ #include <stdarg.h> int uninstrument1(int *p) { *p = 0; return 0; } /*@ requires \valid(p); */ int uninstrument2(int *p) ...
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/*@ ensures (\result >= x && \result >=y) ; */ int maxint (int x, int y) { return (x > y) ? x : y; }
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#include <string.h> /*@ predicate match_aab(char* s) = s[0]=='a' && s[1]=='a' && s[2]=='b'; predicate match_anyaab(char* s) = \exists int i; 0 <= i < strlen(s) && match_aab(s+i); */ /*@ requires strlen(s)>=0 && \valid(s+(0..strlen(s))); requires strlen(s)*2+3 <= INT_MAX; assigns \nothing; ensures \result==0 || \re...
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/*@ ensures \result >= a && \result >= b; ensures \result == a || \result == b ; */ int max ( int a, int b ) { if ( a >= b ) return a ; return b ; }
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#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_...
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#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; } e...
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//check if every element is equal to index /*@ requires n>0; requires \valid_read(arr+(0..n-1)); behavior one: assumes \forall integer j; 0<=j<n ==> arr[j]==j; ensures \result == 1; behavior two: assumes \exists integer j; 0<=j<n && arr[j]!=j; ensures \res...
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/*@ terminates \true; @ assigns \nothing; @ ensures \false; @ exits \exit_status == status; @*/ void exit(int status); int status; /*@ terminates \true; @ assigns status; @ exits !cond && \exit_status == 1 && status == val; @ ensures cond && status == \old(status); @*/ void may_exit(int cond, int...
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/*@ axiomatic Factorial { logic integer factorial(integer i); axiom nil: factorial(0) == 1; axiom step: \forall integer i; i >= 0 ==> factorial(i) == factorial(i - 1) * i; lemma non_negative: \forall integer i; i >= 0 ==> factorial(i) > 0; } */ #define SPE...
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/*@ assigns \nothing; ensures \result == 0 || \result == 1 || \result == -1; behavior positive: assumes x > 0; ensures \result == 1; behavior zero: assumes x == 0; ensures \result == 0; behavior negative: assumes x < 0; ensures \result == -1; complete behav...
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/*@requires\valid(a) &&\valid(b); ensures *a ==\old(*b) && *b ==\old(*a);*/ int swap(int *a, int *b) { int temp = *a; *a = *b; *b = temp; return 0; }
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#include<stdbool.h> #define round(X) (double) (X) /*@ axiomatic fp_funs { logic double Dadd(double X, double Y) = round(X+Y); logic double Dsub(double X, double Y) = round(X-Y); logic double Dmul(double X, double Y) = round(X*Y); logic double Dneg(double X) = round(0-X); logic double Dabs(double X) = ...
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/** * * Frama-C Version: Frama-C Silicon-20161101 * Alt-Ergo Version: 1.30 * * Run the following: * frama-c -wp -wp-rte -wp-prover alt-ergo -wp-timeout 10 countSameConsecutiveFinal.c -then -report * **/ /*@ predicate all_equal_in_range{L}(int *x, integer minidx, integer maxidx) = @ \forall integer k; mi...
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/*@ ensures \result>=a && \result>=b && \result>=c; ensures \result==a || \result==b || \result==c; ensures a>=b && a>=c ==> \result==a; ensures b>=a && b>=c ==> \result==b; ensures c>=a && c>=b ==> \result==c; */ int max3(int a,int b,int c) { int max; if((a >= b) && (a >= c)) { ...
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#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int pick_index(int x0) { return 0; } /*@ requires ((x10>0) && \valid(x9+(0..x10-1))); assigns \nothing; */ int pick_element(int * x9, int x10) { int x12 = pick_index(x10); int x13 = x9[x12]; return x13; } /*...
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#include <stdio.h> #include <stdlib.h> int n, at, x; int t[1000]; //@ predicate ord{L}(int direc_var) = \forall integer i; 0 <= i <= n-2 ==> (direc_var ? t[i] < t[i+1] : t[i] > t[i+1]); //@ predicate noin{L} = \forall integer i; 0 <= i < n ==> t[i] != x; /*@ axiomatic zalozenia_zadania { axiom n_in_range{L}: 2...
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/*@ logic boolean row_col_bool(integer c, int r, int n, int* m, int* v) = (0 < c <= n) ? ((row_col_bool(c-1, r, n, m, v)) || (m[n*r+(c-1)] && v[(c-1)])) : 0; */ /*@ requires n>0; requires n<3; requires \valid(m+(0..n*n-1)); requires \valid(v+(0..n-1)); requires \valid(o+(0..n-1)); requires \separated(m+(0..n*n-1),...
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/*@ requires \valid(q) && \valid(r); requires \separated(q, r); requires y != 0; assigns *q, *r; ensures x == *q * y + *r; ensures *r < y; */ void div_rem(unsigned x, unsigned y, unsigned* q, unsigned* r) { *q = x / y; *r = x % y; }
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/*@ requires n>0; requires\valid(a+ (0..n-1)); ensures\forall integer i; 0<= i<n-1 ==>a[n-1]>=a[i]; */ void q1(int a[],int n) { /*@ loop invariant\forall integer i; 0<= i<j ==> a[j]>=a[i];loop invariant 0<=j<=n-1; loop assigns j,a[0..j+1]; loop variant n-1-j; */ for (int j=0;j<n-1;j++) { if(a[j]>a[j+1]) {...
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/*@ logic integer max(integer a, integer b) = a > b ? a : b; */ /*@ assigns \nothing; ensures \result >= a; ensures \result >= b; ensures \result == a || \result == b; ensures \result == max(a, b); */ int max(int a, int b) { return a > b ? a : b; }
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#include <limits.h> /*@ requires (x0>0); assigns \nothing; ensures ((0<=\result) && (\result<x0)); */ int pick_index(int x0) { return 0; } /*@ requires ((x7>0) && \valid(x6+(0..x7-1))); assigns \nothing; */ int pick_element(int * x6, int x7) { int x9 = pick_index(x7); int x10 = x6[x9]; return x10; } /*@ requ...
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/* Tested with: * * Frama-C Aluminium * * Alt-Ergo 1.01 * * Why3 platform, version 0.87.3 * */ #include <stdbool.h> #define MAXV 1000000 /*@ requires 1 <= N <= 1000000; @ requires \valid(a + (0..N-1)); @ requires \forall integer j; 0 <= j < 1000000 ==> 1 <= a[j] <= N; @ ensures @ \forall integer i...
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/*@ requires \valid_read(a) && \valid_read(b); requires \separated(a, b); assigns \nothing; ensures \result >= *a && \result >= *b; ensures \result == *a && \result == *b; */ int max_ptr(int *a, int *b){ return (*a < *b) ? *b : *a ; } extern int h; int main() { h = 42; int a = 24; ...
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struct list { int hd; struct list *next; }; /*@ inductive reachable{L}(struct list *root, struct list *to) { @ case empty: \forall struct list *l; reachable(l,l); @ case non_empty: \forall struct list *l1, *l2; \valid(l1) && reachable(l1->next, l2) ==> reachable(l1, l2); @ } */ /*@ requires r...
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struct counter {int seconds,minutes,hours;}; struct counter c; /*@ requires 0<=c.seconds<60 && 0<=c.minutes<60 && 0<=c.hours<24; behavior one: assumes c.seconds < 59 && c.minutes < 59; ensures c.seconds == \old(c.seconds)+1; behavior two: assumes c.seconds == 59 && c.minutes < 59; ensures c.secon...
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/*@ assigns \nothing; ensures \result == (a + b) / 2; */ int avr(int a, int b) { int avr; if (a >= 0 && b >= 0) { if (b > a) { avr = a + (b - a) / 2; } else { avr = b + (a - b) / 2; } } else if (a < 0 && b < 0) { if (b > a) { avr = b + (a - b) / 2; } else { avr = a + (b - a) / 2; } } e...
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/* Generated by Frama-C */ typedef unsigned long size_t; struct __e_acsl_mpz_struct { int _mp_alloc ; int _mp_size ; unsigned long *_mp_d ; }; typedef struct __e_acsl_mpz_struct __e_acsl_mpz_struct; typedef __e_acsl_mpz_struct ( __attribute__((__FC_BUILTIN__)) __e_acsl_mpz_t)[1]; struct __e_acsl_mpq_struct { ...
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