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/* * @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 ...
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/*@ requires x >= 0 && x <= __INT_MAX__ - 1; ensures \result == x + 1; assigns \nothing; */ int foo(int x) { return x+1; }
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/* run.config OPT: -load-module report -then -report */ /* run.config_qualif OPT: -load-module report -then -report EXECNOW: LOG stmt.log LOG f.dot LOG f_default_for_stmt_2.dot LOG g.dot LOG g_default_for_stmt_11.dot @frama-c@ -no-autoload-plugins -load-module wp -wp-precond-weakening -wp -wp-model Dump -wp...
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/*@ requires size >= 0 && \valid(t+(0..size-1)); @ assigns t[0..size-1]; @ ensures \forall integer i; 0 <= i < size ==> t[i] == 0; @*/ void out_ecount(char *t, int size) { int i; /*@ loop assigns i, t[0..size-1]; loop invariant 0 <= i <= size; loop invariant \forall integer k; 0 <= k < i ==> t[k] =...
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/*@ @ requires n > 1; @ requires \valid(a+(0..n - 1)); @ @ ensures 0 <= \result < n; @ ensures \exists int i; 0 <= i < n && a[\result] == a[i]; @ ensures \forall int j; 0 <= j < n ==> a[\result] <= a[j]; @ assigns \nothing; */ int argmin(int a[], int n) { int index_min = 0; /*@ @ loop in...
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/*@ requires n > 0; requires \valid(p + (0..n-1)); assigns \nothing; ensures 0 <= \result < n; ensures \forall int i; 0 <= i < n ==> p[\result] >= p[i]; */ int array_max(int *p, int n) { int max_idx = 0; int max = p[max_idx]; /*@ loop invariant 0 <= i <= n; loop invariant 0 <= max_idx < n; ...
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/*@ requires @ size > 0 && \valid(t+(0..size-1)); @ assigns \nothing; @ ensures \result == t[size-1]; */ char in_ecount(char *t, int size) { return t[size -1]; } void in_ecount_test() { char a[] = "test"; char b = in_ecount(a, 5); //@ assert b == '\0'; char c = in_ecount(a, 4); //@ assert c == 't...
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/* Generated by Frama-C */ #include "stdio.h" #include "stdlib.h" /*@ requires \valid_read(p); requires *p == 0; ensures \result == 0; assigns \nothing; */ int f(int *p) { int __retres; { int i = 0; /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ ...
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/*@ logic integer abs(integer x) = x >= 0 ? x : -x; */ #include<limits.h> /*@ requires x > INT_MIN; ensures (x >= 0 ==> \result == x) && (x < 0 ==> \result == -x); assigns \nothing; */ int abs ( int x ); /*@ requires x > INT_MIN; requires y > INT_MIN; ensures \result >= x; ensures \result ...
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/*@ requires 0 < n; requires \valid(a+(0..n-1)); assigns a[0..n-1]; ensures \forall integer i; 0 <= i < n ==> a[i] == 0; */ void array_zero(int* a, int n){ /*@ loop invariant 0 <= i <= n && (\forall integer k; 0 <= k < i ==> a[k] == 0); loop assigns a[0..n-1], i; loop variant n-i; */ for(int i = 0;i< ...
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/*@ @ requires n > 0; @ requires \valid(a+(0..n-1)); @ requires \valid(b+(0..n-1)); @ assigns \nothing; @ behavior true_: @ assumes \forall int i; 0 <= i < n ==> a[i] == b[i]; @ ensures \result == n; @ behavior false_: @ assumes \exists int i; 0 <= i < n && a[i] != b[i]; @ ensures 0 <= \resu...
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/*@ requires x > -2147483648; @ ensures \result >= 0; @ ensures \result == x || \result == -x; @ assigns \nothing; @*/ int abs(int x) { if (x >= 0) return x; return -x; }
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#include<limits.h> /*@ requires x > 0 && x < INT_MAX; ensures \result == x; assigns \nothing; */ int test(int x) { int a = x; int y = 0; /*@ loop invariant y + a == x; loop invariant a >= 0 && a <= x; loop assigns a, y; loop variant a; */ while(a != 0) { ...
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/*@ requires 0 < n <= 10; assigns \nothing; ensures \result == n * (n + 1) * (2 * n + 1) / 6; */ int sq(int n) { int s; int i; s = 0; i = 1; /*@ loop invariant 1 <= i <= n + 1; loop invariant s == (i - 1) * i * (2 * i - 1) / 6; loop assigns s, i; loop vari...
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/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-automata tests/aorai/test_recursion5.ya -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ //frama-c t2.c -aorai-automata t2.ya -aorai-dot -aorai-show-op-spec -aorai-output-c-file t2_an...
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#include<limits.h> /*@ requires INT_MIN - b <= a <= INT_MAX - b; ensures \result == a+b; assigns \nothing; */ int add(int a,int b){ return a+b; }
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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; behavior not_present: assumes \forall integer k; 0 <= k < n ==> x != a[k]; ensures \result == 0; complete behaviors present, not_presen...
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/* run.config COMMENT: \at on purely logic variables COMMENT: */ /*@ assigns \nothing; */ void f(int *t) {} /*@ assigns \nothing; */ void g() { int m; m = 8; Q: ; m = 10; /*@ assert \exists integer w; 3 <= w < 6 && \at(m + w == 12, Q); */ ; } /*@ assigns \nothing; */ int main(void) { int n; n = 7; ...
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/*@ requires base >= 0 && height >= 0 && base <= 2147483647 / height; ensures \result == (base * height)/2; assigns \nothing; */ int area(int base, int height){ int res = (base * height)/2; return res; } /*@ assigns \nothing; */ int main() { int a = area(4, 5); //@ assert a == 10; }
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/*@ requires \valid(t+(0..n-1)) && n>0; ensures (\exists integer i; 0<=i<n && t[i] == x) ==> -1<=\result<n; ensures (\forall integer i; 0<=i<n ==> t[i] != x) ==> \result == -1; */ int index(int t[], int n, int x){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j] != x; loop assigns i...
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#include <stdlib.h> /*@ requires n >= 0; requires \valid(a+(0..n-1)); requires \forall integer i, j; 0 <= i < j < n ==> a[i] <= a[j]; assigns \result \from a[0..n-1]; behavior NOT_EXISTS: assumes \forall integer i; 0 <= i < n ==> a[i] != key; ensures \result == \null; behavior EXISTS:...
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//In the assigns clause of g(), parameter p refers to g()'s argument, not to the global variable p. //This problem can be circumvented using ghost variables. typedef struct { int a; } las; las * p; /*@ requires \valid(p); assigns p->a; @*/ void f() { p->a = 5; } /*@ requires \valid(p); assigns p->a; @*/ void g...
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/*@ requires n >= 0 && \valid_range(a, 0, n - 1); @ assigns \nothing; @ behavior success: @ assumes \exists integer k; 0 <= k < n && a[k] == v; @ ensures 0 <= \result < n && a[\result] == v; @ behavior failure: @ assumes \forall integer k; 0 <= k < n ==> a[k] != v; @ ensures \result == -1; @ com...
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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 sum, i; loop variant n-i; */ for(int i=0;i<n;i++) { sum+=i; } return sum; }
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#include <limits.h> /*@ requires x+y <= INT_MAX; requires x+y >= INT_MIN; requires x >= INT_MIN && y >= INT_MIN; ensures \result == x+y; assigns \nothing; */ int add(int x, int y) { return x+y; }
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/*@ requires \valid(t+(0..taille-1)) && taille>0; assigns \nothing; behavior monotonic_increasing: assumes \forall integer i; 0 <= i < taille - 1 ==> t[i] <= t[i+1]; ensures \result == 1; behavior not_monotonic_increasing: assumes \exists integer i; 0 <= i < taille - 1 && t[i] > t[i+1]; ensures \result == 0; ...
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/*@ requires n > 0; requires \valid_read(arr + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result <= arr[i]; */ int arraymin(int arr[], int n) { int min = arr[0]; /*@ loop invariant \forall integer i; 0 <= i < n ==> min <= arr[i] || i >= j; loop invariant 1 <= j <= n; loop assigns j, min; ...
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/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-ltl tests/aorai/test_boucle1.ltl -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ int cpt=3; //@ global invariant inv_cpt : 0<=cpt<=3; int status=0; //@ global invariant inv_status : ...
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/*@ requires \valid(p + (0..4)); @ ensures \valid(p + (0..4)); @*/ void validPointers(int * p) { *p = 1; return; }
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#include <stdio.h> /*@ axiomatic Factorial { logic integer fact(integer n); axiom case_n: \forall integer n; n >= 1 ==> fact(n) == n*fact(n-1); axiom case_0: fact(0) == 1; } */ /*@ requires n >= 0 && n < 13; ensures \result == fact(n); assigns \nothing; */ int factorial(int n) { ...
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/*@ requires \valid(p) && *p <= 100 && *p >= -100; assigns *p; ensures *p == \old(*p)+ 1 ; */ int incr(int *p) { *p = *p + 1; return *p; };
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#include <stdio.h> /*@ requires c > 0; ensures \result == c; assigns \nothing; */ int func(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; } ...
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/*@ predicate MaxElem{L}(int e, int *a, integer n) = @ \forall integer i; 0 <= i < n ==> e >= a[i] && @ \exists integer i; 0 <= i < n && e == a[i]; @*/ /*@ requires n > 0 && \valid_range(a, 0, n - 1); @ assigns \nothing; @ ensures MaxElem(\result, a, n); @*/ int maxelem (int a[], int n) { int m = ...
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/*@ requires \valid(a + (0..6)); ensures \valid_read(a + (0..6)) && a[6] == '\0' && (a[0] == 'a') && (a[1] == 'b') && (a[2] == 'c') && (a[3] == 'a') && (a[4] == 'b') && (a[5] == 'c'); */ char* strtest(char* a){ a[0] = 'a'; a[1] = 'b'; a[2] = 'c'; a[3] = 'a'; a[4] = 'b'; a[5] = 'c'; ...
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/*@ @ requires \valid(t+(0..n - 1)); @ requires n > 0; @ @ ensures \forall integer i; 0 <= i < n ==> t[i] == val; */ void fill(int t[], int n, int val) { /*@ @ loop invariant 0 <= i <= n; @ loop invariant \forall integer j; 0 <= j < i ==> t[j] == val; @ loop assigns i, t[0..n-1]; @ l...
14
/*@ requires \valid(t+(0..n-1)) && 0 <= k < n; @ ensures \forall integer i; k <= i < n ==> \result <= t[i]; @ assigns \nothing; */ int getMinSubarray(int t[], int n, int k) { int res = t[k]; /*@ loop invariant k+1 <= i <= n; @ loop invariant \forall integer j; k <= j < i ==> res <= t[j]; @ loop as...
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#ifndef __is_included__eb42c25c_df0f_11eb_ba7e_b499badf00a1 #define __is_included__eb42c25c_df0f_11eb_ba7e_b499badf00a1 1 /* Declaration of SREG */ extern volatile unsigned char SREG; void sysclockInit(); /*@ requires \valid(&SREG); assigns SREG; */ unsigned long int micros(); /*@ requires m...
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int t[100]; /*@ requires \valid(t+(0..99)) && (\forall integer k ; 0 <= k < 100 ==> t[k] == 1) ; assigns t[0..99]; ensures \valid(t+(0..99)) && (\forall integer k ; 0 <= k < 100 ==> t[k] == 2) ; */ void f(void) { int i; /*@ loop invariant 0 <= i <= 100 && (\forall integer k ; 0 <= k < i ==> t[k...
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/*@ requires a <= 2147483647 && a >= -2147483648; requires b <= 2147483647 && b >= -2147483648; requires c <= 2147483647 && c >= -2147483648; 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 ...
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/*@ ensures \result >= a && \result >=b && (\result == a || \result == b); */ int max(int a, int b) { return a > b ? a : b; }
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/*@ requires n>0 && \valid(s+(0..n-1)) && \valid(t+(0..n-1)); assigns \nothing; behavior success: assumes \forall integer i; 0<=i<n ==> s[i]==t[i]; ensures \result == 1; behavior failure: assumes \exists integer i; 0<=i<n && t[i]!=s[i]; ensures \result == 0; complete behaviors su...
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#include <stdio.h> #include <limits.h> #include <stddef.h> #define MAX_SIZE 1000 // Define a maximum size for the array /*@ requires validSize: MAX_SIZE > size > 0 ; requires validArr: \valid_read(arr + (0 .. size - 1)) ; assigns \nothing ; ensures largest: \forall integer i; 0 <= i < size ==> \result >= ...
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/*@ requires \valid(a) && \valid_read(b); requires \separated(a,b); requires -10000000<*a<10000000 && -10000000<*b<10000000; assigns *a; ensures *b != 0 ==> *a==0; ensures *b == 0 ==> *a==\old(*a); */ void reset_1st_if_2nd_is_true(int* a,int const* b){ if(*b){ *a =0; //@ assert *a==0; } } int main(){ int a...
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/* run.config OPT: -rpp */ /* * Based on http://sohu.io/questions/2211707/comparison-method-violates-its-general-contract * */ struct NzbFile{ int* FileName; int getFileName_toLowerCase_endsWith[5]; int Subject; }; /*@ type invariant NzbFile_is_bool(struct NzbFile s) = \forall integer k; 0 <= k < 5 ...
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/*@ ghost const int MYOBJECT_MYTAB_SIZE = 5; */ #define MYOBJECT_MYTAB_SIZE 5 typedef struct MyObject{ int id; int myTab[MYOBJECT_MYTAB_SIZE]; }MyObject; /*@ requires \valid(self); requires Inv1 : self->id == 0; assigns self->id, self->myTab[0..MYOBJECT_MYTAB_SIZE-1]; ensures self->id == 0; ensur...
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/* UNSAFE because `assigns *q;` and not `assigns **q;`. */ int g = 42; /*@ requires \valid(p) && \valid(q) && \valid(*q); assigns *p, **q, g; */ void foo(int* p, int** q) { *p = 42; **q = 42; g = 42; }
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#include <stdio.h> #include <stdlib.h> /*@ requires n>=0; requires n <= 0 || \valid_read(a + (0..n-1)); assigns \nothing; behavior sorted: assumes n <= 1 || (\forall integer k; 0 <= k < n-1 ==> a[k] <= a[k+1]); ensures \result == 1; behavior not_sorted: assumes n > 1 && (\exists integer k; 0 <= k < n-1 &&...
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/*@ requires a < 2147483647 && a >= -1; ensures (a >= 0) ==> (\result == a + 1); ensures (a < 0) ==> (\result == 0); */ int plus_one(int a) { if (a >= 0) { return a + 1; } else { return 0; } }
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/* Generated by Frama-C */ /*@ ensures \result == 0; assigns \nothing; */ int f(int x) { x = 0; return x; } int Y = 1; /*@ ensures \result == Y; assigns \nothing; */ int g(int x) { return Y; } /*@ ensures \result == 0; assigns \nothing; */ int h(void) { int __retres; __retres = 0; return __r...
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int x; //@ predicate p(integer n) = n > 0 ; //@ predicate p_array(int t[]) = t[0]; /*@ axiomatic Q { @ predicate q(int t[]); @ @ axiom q_ax: \forall int t[]; t[0] == 0 ==> q(t); @ } @*/ /*@ assigns x; */ void f() { /*@ ghost */ int i = 0; /*@ loop assigns i; loop invariant i >= 0; ...
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#include <limits.h> /*@ requires x != INT_MIN; assigns \nothing; ensures x >= 0 ==> \result == x; ensures x < 0 ==> \result == -x; */ int abs(int x) { if (x < 0) return -x; else return x; } /*@ assigns \nothing; */ int main() { abs(10); abs(-20); return 0; }
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/*@ axiomatic GCD { logic integer GCD(integer x, integer y); axiom gcd_pos: \forall integer x, y; x > 0 && y > 0 ==> GCD(x, y) > 0; axiom gcd_recursive: \forall integer x, y; x > 0 && y > 0 ==> GCD(x, y) == (x == y ? x : (x > y ? GCD(x - y, y) : GCD(x, y - x))); }*/ /*@ requires x > 0 && y > 0; @ ensur...
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/*@ requires \valid(t+(0..n-1)) && n>0; ensures 0<=\result<n; ensures \forall integer i; 0<=i<n ==> t[\result] <= t[i]; */ int minIndex(int t[], int n){ int index=0; /*@ loop invariant 0<=i<=n; loop invariant 0<=index<n; loop invariant \forall integer j; 0<=j<i ==> t[index] <= t[j]; loop ...
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#include <limits.h> /*@ requires 0 < x0 && x0 < 100 && 0 < x1 && x1 < 100 && \valid(x2 + (0..(x0 * x1) - 1)) && (\forall integer i; 0 <= i < (x0 * x1) ==> 0 <= x2[i] < 256); assigns x2[0..(x0*x1)-1]; ensures \forall integer i; 0 <= i < (x0 * x1) ==> x2[i] == 7; */ void p(int x0, int x1, int * x2) { ...
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/*@ lemma mean : \forall integer x, y; x <= y ==> x <= (x+y)/2 <= y; */ /*@ requires n >= 0 && \valid(t+(0..n-1)); @ ensures -1 <= \result <= n-1; @ assigns \nothing; @*/ int binary_search4(int* t, int n, int v) { int l = 0, u = n-1, p = -1; /*@ loop invariant @ 0 <= l && u < n && -1 <= p <= n-1; @ loop invariant \fora...
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/*@ requires -10 <= x <= 0 ; requires 0 <= y <= 5 ; ensures -5 <= \result <= 10 ; assigns \nothing; */ int function(int x, int y) { int res ; y += 10 ; x -= 5 ; res = x + y ; //@ assert -15 <= res <= 15; return res ; }
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/*@ requires -100 <= n <= 1000; // Added a reasonable range for n decreases n > 100 ? 0 : 101 - n; // Added decreases clause 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 fo...
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/* run.config OPT: -rpp */ /* * Based on http://stackoverflow.com/questions/26336978/comparison-method-violates-its-general-contract-and-method-compareto * */ struct Contact{ int getFirstName; int getLastName; int getEmails; }; /*@ assigns \result \from x,y; @ ensures x < y ==> \result == -1; @ ensure...
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#include<limits.h> /*@ requires x >= 0 || x > INT_MIN; assigns \nothing; behavior pos: assumes x >= 0; ensures \result == x; behavior neg: assumes x < 0; ensures \result == -x; complete behaviors pos, neg; //disjoint behaviors pos, neg; // removed because x == 0 makes both po...
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/*@ @ requires \valid(p); @ requires \valid(q); @ requires -1000 <= *p <= 10000; @ requires -1000 <= *q <= 10000; @ assigns *p, *q; @ ensures *p == \old(*q); @ ensures *q == \old(*p); */ void swap(int *p, int *q) { int temp = *p; *p = *q; *q = temp; }
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#include <limits.h> /*@ requires x != INT_MIN; assigns \nothing; ensures x >= 0 ==> \result == x; ensures x < 0 ==> \result == -x; */ int abs(int x) { if (x >= 0) { return x; } else { return -x; } }
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/* run.config OPT: -rpp */ /*@ requires \valid(t+(0..n-1)); @ requires n >= 1; @ requires \forall integer k; 0 <= k < n ==> 0 <= t[k]; @ ensures \forall integer k; 0 <= k < n ==> \result >= t[k]; @ ensures \exists integer k; 0 <= k < n && \result == t[k]; @ assigns \nothing; */ int f(int t[], int n){ in...
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/*@ requires n>0; requires \valid_read(a+(0..n-1)); ensures \forall integer k; 0<=k<n ==> \result>=a[k]; */ int max(int a[], int n){ int m=a[0]; /*@ loop invariant \forall integer j; 0<=j<i ==> m>=a[j]; loop invariant 1<=i<=n; loop assigns i,m; loop variant n-i; */ for(int i=1;i<n;i++){ ...
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/*@ requires 0<x<=100 && 0<y<=100; ensures \result == x*y; ensures 0<\result<=10000; assigns \nothing; */ int mul(int x, int y){ int mul=0; /*@ loop invariant 0<=i<=y; loop invariant mul==x*i; loop assigns mul,i; loop variant y-i; */ for(int i=0;i<y;i++) mul+=x; return mul; }
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