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#pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-variable" int A, B, C; #pragma GCC diagnostic pop /*@ requires A==100 && B==100; assigns A,B; ensures C==0 ==> A==100 && B==100; ensures C!=0 ==> A==C && B==C;*/ void bidon(){ if ( C != 0 ){ A = C; B = C; } } /*@ requires \va...
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/*@ requires size>0; requires \valid(t+(0..size-1)); requires \valid(s+(0..size-1)); requires \valid(r+(0..size-1)); requires \separated(t+(0..size-1), s+(0..size-1)); requires \separated(t+(0..size-1), r+(0..size-1)); requires \separated(s+(0..size-1), r+(0..size-1)); requires \forall integ...
22
#include <limits.h> #include <string.h> /*@ predicate submatcher_0(char * x22) = ((x22[0]=='\0') || (((x22[0]=='\0')) ? (0) : (((x22[0]=='a') && submatcher_0((x22+1))))));*/ /*@ requires ((strlen(x22)>=0) && \valid_read(x22+(0..strlen(x22)))); decreases strlen(x22); assigns \nothing; ensures \result <==> submatcher_0(...
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#ifndef BASETYPE_H #define BASETYPE_H #include <stddef.h> // this is just renaming for types typedef unsigned long size_t; // forward declaration ///////////////////////////////////////////////// // integers // format [s|u]int[<size in bits>] typedef signed char sint8_t; typedef unsigned char uint8_t; typedef shor...
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/* run.config_qualif OPT: -pp-annot -wp -wp-par 1 -wp-prop="-qed_ko" OPT: -pp-annot -wp -wp-par 1 -wp-prop qed_ko -wp-timeout 2 */ #define OK 33 #define KO 55 int k ; int inp[5] ; int out[5] ; /*@ requires 0 <= k < 5 ; @ ensures \result == out[\old(k)] ; @ ensures inp[\old(k)] == u; @ ensures k == \old(...
27
#include<limits.h> /*@ requires 0 < length <= INT_MAX && \valid_read(arr+(0..length-1)); requires \forall integer i,j; 0 <= i < j < length ==> arr[i] <= arr[j]; assigns \nothing; ensures -1 <= \result < length && (\result == -1 ==> (\forall integer i; 0 <= i < length ==> arr[i] != query)) && (\...
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/* a.h */ typedef struct s_t { int n; } t; /*@ type invariant inv_t(t x) = x.n > 0; */ /* @ predicate p(int x) reads x; */ int i = 42; /*@ predicate p{Here}(int x) = x >= i; */ /*@ axiomatic Bar { logic integer li; axiom init: li == 42; } */ /*@ ensures i == 0; assigns i; */ void test() { i = 0; } /*@ axi...
4
/* This file is part of CPAchecker, // a tool for configurable software verification: // https://cpachecker.sosy-lab.org // // SPDX-FileCopyrightText: 2007-2020 Dirk Beyer <https://www.sosy-lab.org> // // SPDX-License-Identifier: Apache-2.0 */ /*@ requires x > -2147483648; assigns \nothing; ensures \result...
10
/*@ requires n>0 && \valid(a+(0..n-1)); @ assigns \nothing; @ behavior success: @ assumes \forall integer i; 0<=i<n-1 ==> a[i]<=a[i+1]; @ ensures \result==1; @ behavior failure: @ assumes \exists integer i; 0<=i<n-1 && a[i]>a[i+1]; @ ensures \result==0; @ complete behaviors success, failure; @...
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/*@ requires c > 0; ensures \result == c; assigns \nothing; */ int loop(int c) { int x = c; int y = 0; /*@ loop invariant c == x + y && x >= 0 ; loop assigns x, y; loop variant x; */ while(x > 0) { x = x - 1; y = y + 1; } return y; } /*@ assigns \nothing; */ int main() { int result = loop(6); return...
18
/*@ requires k>0; @ ensures \result<1; @*/ int f(int k, int g); int f(int k, int g){ return 0; } void main(){ f(1,0); }
6
/*@ assigns \nothing; */ void inconditional_exit(int state) { exit (state); }
4
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer j; 0 <= j < n ==> \result >= a[j]; assigns \nothing; */ int Max_element(int a[], int n) { int max = a[0]; int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> max >= a[j]; loop invariant 1 <= i <= n; loo...
15
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer k; (0<=k<n) && (k%2==0) ==> (a[k] == 0); assigns a[0..n-1]; */ void func(int *a, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; (0 <= k < i) && (k%2==0) ==> a[k] == 0; loop invariant \vali...
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/*@ @ requires -10000 <= x <= 10000; @ requires 0 <= y <= 10000; @ @ ensures \result == x * y; @ assigns \nothing; */ int mult(int x, int y) { int res = 0; /*@ @ loop invariant 0 <= i <= y; @ loop invariant res == i * x; @ loop assigns res, i; @ loop variant y - i; ...
14
/* run.config EXECNOW: make -s @PTEST_DIR@/@PTEST_NAME@.cmxs OPT: -load-module @PTEST_DIR@/@PTEST_NAME@.cmxs */ /*@ requires x <= 0; ensures \result == x; assigns \nothing; */ int f(int x) { //@ assert x<=0; int y = x; /*@ assert y <= 0 && x == y; */ return y; } struct inner { int a, b; ...
9
/*@ ensures (\result>0); */ int main() { int x0 = 0; /*@assert (x0<100);*/ int x4 = x0 + 1; /*@assert (x4>x0);*/ return x4; }
6
/*@ axiomatic Count { logic integer count{L}(int *a, integer m, integer n, integer p); axiom count_base: \forall int *a, integer m, integer n, integer p; m >= n ==> count(a, m, n, p) == 0; axiom count_split: \forall int *a, integer m, integer n, integer k, integer p; m <= n <= k ==> count(a, m...
34
/*@ axiomatic A { } */ /*@ assigns \nothing; */ int main() { return 0; } /*@ assigns \nothing; */ void f() { int x = 0; } /*@ assigns \nothing; */ void g(char*s);
6
#include <limits.h> /* run.config EXECNOW: make -s tests/aorai/Aorai_test.cmxs OPT: -aorai-automata tests/aorai/test_acces_params.ya -aorai-test 1 -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ int status=0; int rr=1; //@ global invariant inv : 0<=rr<=5000; /*@ requires rr<5000 &&...
20
#include <limits.h> int e; /*@ requires INT_MIN / 4 <= x <= INT_MAX / 4; ensures \result == 4 * x && e == 4 * x; assigns e; */ int f(int x) { int y = 4 * x; e = y; return y; } int main() { f(42); return 0; }
9
/*@ requires -1000 <= n <= 1000; // Add a reasonable input range decreases n > 100 ? 1 : 102 - n; assigns \nothing; ensures ((n <= 100) ==> (\result == 91)); ensures ((n > 100) ==> (\result == (n-10))); */ int foo(int n) { if (n > 100) { return n - 10; } else { return foo(foo(n + 11)); } }
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/*@ 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; }
10
/* run.config OPT: -rpp */ /* * Based on http://stackoverflow.com/questions/22768302/why-i-get-comparison-method-violates-its-general-contract * */ struct CatBPos{ int getHdopBPosGetTime; int getBPosGetTime; int getBPosGetStat; int getBPosIsDeparture; int getBPosIsVacation; int getBPosIsArrival; i...
21
/*@ requires n > 0; requires \valid(arr+(0..n-1)); ensures \forall integer i; 0 <= i < n ==> arr[i] == 0; */ void arrayreset(int arr[], int n) { /*@ loop invariant 0 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> arr[i] == 0; loop assigns j, arr[0..n-1]; loop variant n - j; */ for (int j=0; ...
14
// In some versions of Frama-C, an additional option -pp-annot should be used to parse this example #include <limits.h> /*@ requires (*b >= 0 && *a <= INT_MAX - *b); requires (*b < 0 && *a >= INT_MIN - *b); requires \valid(a) && \valid(a); assigns *a; ensures *a == \old(*a) + *b; */ void incr_a_by_b(int* a,...
9
/* run.config OPT: -rpp */ /* * Based on http://codedbot.com/questions/402185/java-comparator-violates-general-contract * */ struct SolutionComparator { int getValue; int solutionCost; }; /*@ requires 0 <= h < 100; @ requires 0 <= o1.getValue <= 10 && 0 <= o1.solutionCost <= 10 && 0 <= o2.getValue <= 10 ...
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/*@ requires \valid(a+(0..length-1)); @ requires length > 0; @ ensures \forall integer j; 0 <= j < length ==> a[\result] <= a[j]; @ assigns \nothing; */ int find_min(int* a, int length) { int min, min_idx; min_idx = 0; min = a[0]; /*@ loop invariant 1 <= i <= length; @ loop invariant 0 <= min_idx <...
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#include <limits.h> /*@ requires x > INT_MIN; assigns \nothing; // forbid any side effects ensures 0 <= x ==> \result == x; ensures 0 > x ==> \result == -x; */ int abs_int(int x) { return (x >= 0) ? x : -x; }
7
/* Generated by Frama-C */ #include "stdio.h" #include "stdlib.h" extern int __e_acsl_sound_verdict; /*@ assigns \nothing; */ int *__gen_e_acsl_f(int *x, int *y); /*@ assigns \nothing; */ int *f(int *x, int *y) { return x; } int main(void) { int __retres; int *p; int x = 0; int *q = malloc(sizeof(int)); ...
10
/* run.config OPT: -load-module lib/plugins/Report -rte -rte-precond -then -val -then -report -report-print-properties OPT: -load-module lib/plugins/Report -val -then -rte -rte-precond -then -report -report-print-properties */ // Fuse with precond.c when bts #1208 is solved int x = 0; /*@ requires i >= -1; as...
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/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-ltl tests/aorai/test_boucle.ltl -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ /*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int a() { return 1; } /*@ re...
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/*@ requires \true; @ behavior x_ge_y: @ assumes x >= y; @ ensures \result == x; @ behavior x_lt_y: @ assumes x < y; @ ensures \result == y; @ complete behaviors x_ge_y, x_lt_y; @ disjoint behaviors x_ge_y, x_lt_y; @*/ int max (int x, int y) { if (x >= y) { return x; } else { retur...
6
/* run.config COMMENT: test option -e-acsl-functions LOG: gen_@PTEST_NAME@.c OPT: -machdep gcc_x86_64 -e-acsl-functions f -e-acsl -then-last -load-script tests/print.cmxs -print -ocode tests/special/result/gen_@PTEST_NAME@.c -kernel-verbose 0 -eva-verbose 0 -eva -wp-rte */ /*@ requires \valid(p); @ requires...
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/*@ @ requires 0 <= n <= 1000; @ ensures \result == n * n; @ assigns \nothing; */ int sum_n_odds(int n) { int res = 0; /*@ @ loop invariant 0 <= i <= n; @ loop invariant res == i * i; @ loop assigns res, i; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { re...
17
/*@ requires x >= -2147483647; assigns \nothing; ensures \result >= 0; ensures x < 0 ==> \result == -x; ensures x >= 0 ==> \result == x; */ int abs(int x) { if (x < 0) return -x; else return x; }
8
#include <stdbool.h> /*@ requires n >= 0; requires \valid_read(a + (0 .. n-1)); requires \valid_read(b + (0 .. n-1)); assigns \nothing; behavior eq: assumes \forall integer i; 0 <= i < n ==> a[i] == b[i]; ensures \result; behavior neq: assumes \exists integer i; 0 <= i < n && a[...
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/*@ requires \valid(a) && \valid(b); requires \separated(a,b); assigns *a, *b; ensures *a == \old(*b) && *b == \old(*a); */ void swap(int *a, int *b){ int tmp = *a ; *a = *b ; *b = tmp ; } int main(){ int x = 2; int y = 4; swap(&x, &y); //@ assert x == 4 && y == 2 ; }
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struct MaxAndMin{ int max; int min; }; /*@ requires size > 0 && \valid_read(a+(0..size-1)); ensures \forall integer i ; 0 <= i < size ==> ( a[i] <= \result.max && \result.min <= a[i] ) ; */ struct MaxAndMin findMaxAndMin(int* a,int size){ ...
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/*@ requires x >= y > 0; requires \valid (r); ensures *r < y; ensures x == \result*y + *r; assigns *r; */ int fun(int x, int y , int *r) { *r = x; int d = 0; /*@ loop invariant *r == x - y*d; loop invariant d >= 0; loop assigns *r, d; loop variant *r; ...
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// complete is not effective, although negative is missing, taking it in/out doesn't make a difference still proved. #pragma JessieIntegerModel(exact) /*@ requires -2147483647 <= a <= 2147483647; assigns \nothing; behavior zero: assumes a == 0; ensures \result == 0; behavior positive: ...
11
/*@ requires 1==1; */ void test(long x) { unsigned a = 0x10203040; unsigned b = (a << 16); unsigned long long al = a; unsigned long long bl = al << 16; //@ assert b == (unsigned)bl; //@ assert b == 0x30400000; }
4
/* run.config STDOPT: +"-pp-annot" */ /* run.config_qualif STDOPT: +"-pp-annot" */ #define ST(a) (((a)&2)!=0) /*@ behavior sum_ok: ensures ok: ST(\result) <==> ST(a) || ST(b) ; complete behaviors sum_ok; */ char sum( char a , char b ) { return a|b; } #define BIT_TEST(x,n) (((x)&(1<<(n)))!=0) /*@ requ...
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/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */ int f(int x) { return x+1; } /*@ requires -1000000 < x < 1000000; requires -1000000 < y < 1000000; ensures \result == x + y + 1; assigns \nothing; */ int g(int x, int y) { return (x+y+1); }
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/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> a[i]==0; */ void Zero_array(int a[], int n) { /*@ loop invariant \forall integer i; 0 <= i < j ==> a[i]==0; loop invariant 0 <= j <= n; loop assigns j,a[0..n-1]; loop variant n - j; */ for (int j =...
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/*@ requires \valid(a+(0..n-1)); requires 0 <= i < n; requires 0 <= j < n; assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ static inline void swap(int a[], int i, int j, int n) { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
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/*@ requires -2147483647 <= n <= 2147483647; ensures \result >=0; assigns \nothing; behavior positive: assumes n >= 0; ensures \result == n; assigns \nothing; behavior negative: assumes n < 0; ensures \result == -n; assigns \nothing; complete behaviors positive, negative; disjoi...
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#include <limits.h> /*@ requires (x > INT_MIN) && (y > INT_MIN) && (x >= y && x - y <= INT_MAX || x < y && x - y >= INT_MIN); ensures y == x-\result; assigns \nothing; */ int diff (int x, int y) { return x-y; } /*@ assigns \nothing; */ void main() { int t = diff(10, 5); //@ assert t == 5; }
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#include "limits.h" /*@ requires b != 0; @ requires !(a == INT_MIN && b == -1); @ ensures \result == a/b; @ assigns \nothing; @*/ int div(int a, int b) { return a / b; }
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/* run.config OPT: -rpp */ /* * Based on http://stackoverflow.xluat.com/questions/31235938/java-order-by-priority-list * */ struct MyClass{ int Name; }; struct hack{ int t[3]; }; /*@ assigns \result \from x,y; @ ensures x < y ==> \result == -1; @ ensures x > y ==> \result == 1; @ ensures x == y ==> ...
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/*@ requires n>0; requires \valid(t+(0..n-1)); assigns t[0..n-1]; ensures \forall integer i; 0<=i<n ==> t[i] == i ; ensures \forall integer i; 0<=i<n-1 ==> t[i] <= t[i+1]; */ int doubleint(int t[],int n) { /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j] == j ; loo...
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/*@ requires \valid(t+(0..taille-1)) && taille>0; assigns \nothing; ensures (\forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]) ==> \result==1; ensures (\exists integer i; 0<=i<taille-1 && t[i]>t[i+1]) ==> \result==0; */ int increasing(int t[], int taille){ /*@ loop invariant 0<=i<=taille-1; loop in...
19
#pragma CIVL ACSL enum t{RED, BLUE}; /*@ requires \valid_read(a) && *a==BLUE; @ ensures \result == 2; @ assigns \nothing; @*/ int f(enum t* a){ return (*a)*2; }
5
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result <= a[i]; */ int Min_elements(int a[], int n) { int min = a[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer k; 0 <= k < j ==> min <= a[k]; loop assigns j, min; loop variant n - j...
14
#include <limits.h> /*@ requires INT_MIN <= a - b <= INT_MAX; ensures (\result == a - b); assigns \nothing; */ int sub(int a,int b) { int diff = a - b; return diff; } /*@ assigns \nothing; */ int main(void) { int a = 7; int b = 6; sub(a,b); return 0; }
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/*@ requires \valid_read(t+(0..tt-1)) && tt>0; requires \valid_read(s+(0..ts-1)) && ts>0; requires \valid(r+(0..tt+ts-1)); requires 0<tt<100; requires 0<ts<100; requires \separated(t+(0..tt-1), s+(0..ts-1), r+(0..tt+ts-1)); ensures \forall integer i; 0<=i<tt ==> r[i]==t[i]; ensures \forall i...
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#include "limits.h" /*@ requires a*x <= INT_MAX && a*x+b <= INT_MAX && a*x >= INT_MIN && a*x+b >= INT_MIN; ensures \result >= INT_MIN && \result <= INT_MAX && \result == a*x+b; */ int f(int a,int b,int x) { return a*x+b; }
7
/*@ requires \valid(t+(0..n-1)) && n>0; behavior success: assumes \exists integer i; 0<=i<n && t[i]==val; ensures 0<=\result<n; behavior failure: assumes \forall integer i; 0<=i<n ==> t[i]!=val; ensures \result==-1; complete behaviors success, failure; disjoint behaviors ...
15
/*@ requires \valid(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> t[\result] <= t[i]; ensures \exists integer i; 0<=i<n && i == \result; assigns \nothing; */ int min(int t[], int n) { int index = 0; /*@ loop invariant 1 <= i <= n; loop invariant 0<=index<n; loop invariant \forall integer j; 0<=j<i ==...
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/*@ requires \valid_read(p+(0..n-1)); @ ensures \result == 0; @ assigns \nothing; @ */ int somefun(char *p, int n) { return 0; }
4
/* run.config OPT: -rpp */ /* * Based on http://stackoverflow.com/questions/23907134/comparing-two-arrays-using-dictionary-order-in-an-array-of-arrays-java * */ struct AInt{ int t[10]; int length; }; /*@ requires 0 <= o1.length && o1.length <= 10; @ requires 0 <= o2.length && o2.length <= 10; @ assign...
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/*@ ensures (x==0||y==1)?\result==1:\result == 0; assigns \nothing; */ int f(int x, int y) { return (x==0||y==1); } /*@ assigns \nothing; */ int main() { int x = f(42,1); int y = f(0,36); return 0; }
14
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */ int sum(int n){ int res=0; /*@ loop invariant 0<=i<=n; loop invariant res == i*(i-1)/2; loop assigns res, i; loop variant n-i; */ for(int i=0;i<n;i++) { res+=i; } return res; }
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struct S { int x; }; #include <limits.h> /*@ requires \valid(s); assigns s->x; ensures s->x == 0; */ void reset (struct S* s) { s->x = 0; } /*@ requires \valid(s); requires s->x < INT_MAX; assigns s->x; ensures s->x > \at(s->x,Pre); */ void inc(struct S* s) { //@ assert s->x < INT_MAX; s->x++; } ...
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/*@ requires b != 0 && (a != -2147483648 || b != -1); // Prevent potential overflow assigns \nothing; ensures \result == (a % b); */ int mod(int a, int b) { return a % b; }
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#include <stdbool.h> /*@ requires \valid(t1+(0..n-1)) && \valid(t2+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t1[i] == t2[i]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t1[i] != t2[i]) ==> \result==0; assigns \nothing; */ int compare(int t1[], int t2[], int n){ int i=0; bool diff_found =...
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/*@ requires \valid_read(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> \result <= t[i]; ensures \exists integer i; 0<=i<n && t[i] == \result; assigns \nothing; */ int min(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n; loop invariant \forall integer j; 0 <= j < i ==> res <= t[j]; lo...
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/*@ axiomatic LCM { logic integer lcm(integer m, integer n); } */ /*@ requires a>0 && b>0; decreases a+b; assigns \nothing; ensures a == 0 ==> \result == b; ensures b == 0 ==> \result == a; ensures a == b ==> \result == a; */ int gcd(int a, int b) { if (a == 0) return b; if (b == 0) ...
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/* run.config OPT: -load-module lib/plugins/Obfuscator -obfuscate -journal-disable */ /*@ ensures \valid(q); */ int f(int *q) ; #define LV X_9999999999999999999999999999999999999999999999999999 int global_LV; enum { OK = 1, NOT_OK = 0 } e ; /*@ ensures \valid(p); */ void main (int * p) { int LV = 0; e ...
3
/*@ requires \valid (s+(0..n-1)); requires \valid (t+(0..n-1)); requires n > 0; assigns \nothing; ensures \result <==> (\forall integer i; 0 <= i < n ==> s[i] == t[i]); */ int compare_array(int s[], int t[], int n) { int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> s[j] == t[j]; loop invaria...
15
/*@ @ requires n > 0; @ requires \valid(a+(0..n-1)); @ @ assigns \nothing; @ behavior true_: @ assumes \forall integer i; 0 <= i < n / 2 ==> a[i] == a[n - i - 1]; @ ensures \result == 1; @ behavior false_: @ assumes \exists integer i; 0 <= i < n / 2 && a[i] != a[n - i - 1]; @ ensures \resu...
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/* bts 60: 1 should be lifted to a real number implicitely. */ /*@ ensures 1.0 == 1; assigns \nothing;*/ void f(); /*@ lemma foo: 1.0 == (float)1; */ void f() { double B; } typedef int T, T4[4], *T_PTR; const T X, Tab[4]; typedef T_PTR T_PTR_T4[4]; const T_PTR_T4 Tab_Ptr = { &X, &X, &X, &X};
5
/*@ predicate dom{L}(int k,int n) = k >= 0 && k <= n - 1; */ /*@ requires A: n >= 0 && \valid (a +(0.. n-1)); requires B: dom( i, n ) && dom( j, n ); assigns a[i], a[j]; ensures \old(a[i]) == a[j] && \old(a[j]) == a[i]; ensures \forall int i1; dom(i1,n) ==> \exists i...
10
/* public interface */ /*@ assigns \nothing; @ ensures \result >= 0; @*/ int gen() { return 0; }
4
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result > 0; @ assigns \nothing; @ */ int somefun(char *p, int n) { return 1; }
4
/*@ requires n > 0; requires \valid_read(arr + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result >= arr[i]; */ int arraymax(int arr[], int n) { int max = arr[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> max >= arr[i]; loop invariant max >= arr[0]; loop as...
16
/*@ requires 0 <= n <= 1000; ensures \result == n*n; assigns \nothing; */ int oddsum(int n) { int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum==i*i; loop assigns i, sum; loop variant n-i; */ for(int i=0;i<n;i++) { sum += i*2 + 1; } return sum; }
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/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-automata tests/aorai/test_boucle_rechercheTableau.ya -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ /*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483...
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/*@ requires \valid_read(a + (0..n-1)); requires n > 0; ensures \forall integer k; 0 <= k < n ==> \result >= a[k]; ensures \exists integer k; 0 <= k < n && \result == a[k]; assigns \nothing; */ int arraymax(int* a, int n) { int i = 1; int max = a[0]; /*@ loop invariant \forall integer k; 0 <= k < n =...
18
/*@ requires 1000>taille>0; requires \valid(t+(0..taille-1)); ensures \forall integer i; 0<=i<taille ==> t[i] == (i*2) ; ensures \forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]; */ void doubleint(int t[],int taille) { // void double() --> not possible since datatype! /*@ loop invariant 0<=i<=t...
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/*@ requires \valid(t+(0..n-1)) && n>0; // assigns \nothing; ensures (\forall integer i; 0<=i<n ==> t[i] == t[n-i-1]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t[i] != t[n-i-1]) ==> \result==0; */ int palindrome(int t[], int n){ /*@ loop invariant 0<=i<=n/2; loop invariant \forall integer j; 0<=j<...
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/* * A simple string matching * Takuo Watanabe (Tokyo Institute of Technology) * * This file can be successfully verified using Frama-C with Jessie plugin. * Frama-C Carbon-20110201 * Alt-Ergo 0.92.2 / CVC3 2.2 */ /*@ predicate MatchAt{L}(char *t, char *p, integer k, integer m) = @ \forall integer l; 0...
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/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */ int sum(int n){ int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum == i*(i-1)/2; loop assigns i, sum; loop variant n-i; */ for (int i=0;i<n;i++) sum += i; return sum; }
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/*@ requires 0 <= n <= 1000; ensures \result == n * n; assigns \nothing; */ int sumOdd(int n){ int res=0; int i=0; /*@ loop invariant 0<=i<=n; loop invariant res == i*i; loop assigns res,i; loop variant n-i; */ while(i<n){ res+=i*2+1; i++; } return res; }
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/*@ requires \valid_read(a+(0..N-1)) && 0 <= x && x < N && 0 <= y && y < N; ensures \result >= 0; */ int lcp(int a[], int N, int x, int y) { int l = 0; /*@ loop invariant 0 <= l <= N; loop invariant x + l <= N && y + l <= N; loop assigns l; loop variant N - l; */ for (;;)...
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/*@ requires n > 0; requires \valid_read(t+(0..n-1)); ensures \result <==> (\forall integer i; 0 <= i < n ==> t[i] == 0); */ int arraynull(int t[], int n){ /*@ loop invariant 0 <= i <= n; loop invariant \forall integer j ; 0 <= j < i ==> t[j] == 0; loop assigns i; loop variant n-i; */ for(int i = 0; i < n ...
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/*@ ensures \result == x || \result == y; ensures \result >= x && \result >= y; */ int max(int x, int y) { if (x >= y) { return x; } return y; }
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/*@ requires n>=0 && \valid(t+(0..n-1)); ensures \result != 0 <==> (\forall integer j; 0 <= j < n ==> t[j] == 0); */ int all_zeros(int t[], int n) { int k; /*@ loop invariant 0 <= k <= n; loop invariant \forall integer j; 0 <= j < k ==> t[j] == 0; loop assigns k; loop variant n-k; */ for(...
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/*@ requires n > 0; requires \valid_read(a + (0..n-1)); assigns \nothing; behavior present: assumes \exists integer k; 0 <= k < n && x == a[k]; ensures \result == 1; assigns \nothing; behavior not_present: assumes \forall integer k; 0 <= k < n ==> x != a[k]; ens...
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#include <limits.h> /*@ assigns \nothing; */ void try_initialize_array ( void ) { int array[5]; // To prove asserts at the end of this function, // uncomment following loop invariant. It might also be helpful to ensure // that i has proper bounds (or use -wp-invariants). /*@ loop invariant I1: 0 <= i <= 5 &&...
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/*@ requires c >= 0; assigns \nothing; ensures \true; */ void f (int c) { /*@ loop invariant c >= 0; loop invariant c <= \at(c, Pre); loop assigns c; loop variant c; */ while (c != 0) { c--; } return; }
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#ifndef _FIND_H_ #define _FIND_H_ /*@ requires \valid_read(a + (0..n-1)); ensures 0 <= \result <= n; behavior some: assumes \exists integer i; 0 <= i < n && a[i] == v; ensures 0 <= \result < n; ensures a[\result] == v; ensures \forall inte...
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/*@ requires \valid(t+(0..taille-1)) && taille>0 && 2*(taille-1) < 2147483647; assigns t[0..taille-1]; ensures \forall integer i; 0<=i<taille ==> t[i] == 2*i; */ void doubled(int t[], int taille){ /*@ loop invariant 0 <= i <= taille; loop invariant \forall integer j; 0 <= j < i ==> t[j] == 2*j; loop assigns i...
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/*@ requires \valid(t+(0..taille-1)) && taille>0; behavior increasing: assumes \forall integer i; 1 <= i < taille ==> t[i] >= t[i - 1]; ensures \result == 1; behavior decreasing: assumes \exists integer i; 1 <= i < taille && t[i] < t[i - 1]; ensures \result == 0; assigns \nothing; complete ...
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/*@ requires n>0; requires \valid(a+(0..n-1)); assigns \nothing; behavior success: assumes \forall integer i; 0<=i<n ==> a[i]==a[n-i-1]; ensures \result==1; behavior failure: assumes \exists integer i; 0<=i<n && a[i]!=a[n-i-1]; ensures \result==0; complete behaviors success...
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/*@ requires length > 0 && \valid(a+(0..length-1)); assigns \nothing; // Changed assigns clause to \nothing ensures 0<=\result<length && (\forall integer j; 0<=j<length ==> a[\result]<=a[j]); */ int find_min(int* a, int length) { int min, min_idx; min_idx = 0; min = a[0]; /*@ loop invariant 0<=i<=...
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/*@ requires \valid(a) && \valid(b); @ ensures *a == \old(*b); @ ensures *b == \old(*a); @*/ void swap(int* a, int* b) { int temp = *a; *a = *b; *b = temp; }
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struct S { char *x; int *y; }; /*@ requires \valid(s) && \valid_read(s->x) && \valid_read(s->y) && (int)(*s->x) + *s->y >= -2147483648 && (int)(*s->x) + *s->y <= 2147483647; ensures \result == (int)(*s->x) + *s->y; assigns \nothing; */ int f(struct S* s) { return *s->x + *s->y; }
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// teste si un tableau est un palindrome // ESOPE RESTE ELU PAR CETTE CRAPULE ET SE REPOSE /*@ requires \valid (t+(0..n-1)); requires n > 0; assigns \nothing; ensures \result <==> (\forall integer i; 0 <= i < n/2 ==> t[i] == t[n-i-1]); */ int is_palindrome(int t[], int n) { int mid = n/2; int i = 0; /*@ loop...
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/*@ requires \valid(a) && \valid(b) && \valid_read(a) && \valid_read(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; }
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