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/*@ predicate sorted{L}(long *t, integer a, integer b) = @ \forall integer i,j; a <= i <= j <= b ==> t[i] <= t[j]; @*/ /*@ requires n >= 0 && \valid_range(t,0,n-1); @ ensures -1 <= \result < n; @ behavior success: @ ensures \result >= 0 ==> t[\result] == v; @ behavior failure: @ assumes sorted(t,0...
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//@ predicate is_pos(int x) = x > 0; //@ predicate is_nat(int x) = x >= 0; /*@ requires is_pos(x); ensures is_nat(\result); */ int minus1(int x) { return x-1; }
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/*@ requires \valid(p); requires \valid(q); behavior p_changed: assumes n >0; assigns *p; ensures *p == n; behavior q_changed: assumes n <= 0; assigns *q; ensures *q == n; */ void f(int n, int *p, int *q) { if (n > 0) *p = n; else *q = n; }
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/* run.config DONTRUN: linked with first which is the real test. */ /*@ behavior b: requires \valid(second); ensures \result == 0;*/ int bar(int *second); void sub (char * c) { bar(c); }
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// This program used an advanced ACSL clause: \max() // Note: Some versions of 'wp' plugin may not support the \lambda clause. // The program may not verify in every machine. /*@ requires n > 0; requires \valid_read(arr+(0..n-1)); ensures \result == \max(0, n-1, \lambda integer i; arr[i]); assign...
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/*@ requires a_valid: \valid(a); requires b_valid: \valid(b); assigns *a, *b; ensures a_value: *a == \at(*b,Pre); ensures b_value: *b == \at(*a, Pre); */ void swap(int* a, int *b); /*@ requires a_valid: \valid(a); requires b_valid: \valid(b); requires c_valid: \valid(c); requires sep: \sepa...
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/*@ requires \valid(p); ensures \result == *p; */ int foo(int* p) { return *p; }
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/* Software versions: frama-c : 18.0 (Argon) alt-ergo : 2.2.0 This script was run using this command: frama-c -wp -wp-prover alt-ergo -wp-rte -wp-timeout 300 -wp-verbose 0 countSameConsecutive.c -then -report */ // This predicate is true if there is a subsequence of length "answer" // with all its ele...
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/*@predicate who_is_taller{L}(int *x,integer j, integer last)= @ \forall integer i; j < i < last ==> x[j] > x[i]; @ */ /*@ predicate how_many{L}(int *x, integer counter, integer size,integer cnt) = @ (counter < size) ? @ (who_is_taller(x,counter,size))? how_many(x,counter+1,size,cnt-...
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/*@ @ requires @ \valid(t + (0..size - 1)) && @ 0 <= i < size && @ 0 <= j < size; @ @ ensures @ \forall integer k; @ 0 <= k < size && k != i && k != j ==> @ t[k] == \old(t[k]); @ @ ensures @ t[i] == \old(t[j]) && @ t[j] == \old(t[i]); @ ...
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/*@ensures\result == a &&\result>b || \result>a &&\result == b || \result == a &&\result == b;*/ int max(int a, int b) {return a>b ? a : b;}
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#include <stddef.h> #include <stdio.h> /*@ predicate valid_range_rw(int* arr, integer n) = n >= 0 && \valid(arr + (0 .. n-1)); predicate valid_range_r(int* arr, integer n) = n >= 0 && \valid_read(arr + (0 .. n-1)); predicate sorted(int* arr, integer n) = \forall integer i, j; 0 <= i <= j < n ==> arr[...
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#include <string.h> /*@ requires strlen(input)>=0 && \valid(input+(0..strlen(input))); assigns \nothing; ensures \result==0 || \result==1; */ int dfa_aab(char* input) { if (*input == '\0') return 0/*false*/; int id = 0; char c; /*@ loop invariant strlen(input)>0 && \valid(input+(0..strlen(input))); loop inv...
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/* @ requires \valid(t+(start..end)) && start <= i <= end && start <= j <= end */ 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)); @*/ int partition (int A[], int p, int r) { int x = A[r]; int j, i = ...
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#define HASHTBL_LEN 17 typedef struct { int b; int size; } Buckets; typedef struct { Buckets data[HASHTBL_LEN]; int size; } Hashtbl; /*@ requires \valid(tbl); @ requires \valid(tbl->data+(0 .. HASHTBL_LEN - 1)); @ requires 0 <= d < HASHTBL_LEN; @ @ assigns tbl->data[d], tbl->size; // approximation...
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#include<stdio.h> #include<limits.h> /*@ requires x>=0; ensures \result == x*x*x; */ int p2(int x){ int z=0,v=0,w=1,t=3,u=0; /*@ loop invariant u<=x && t==6*u+3 && w==3*u+1 && v==3*u*u && z==u*u*u; loop assigns z,v,t,w,u;*/ while ( u <= x ){ z=z+v+w; v=v+t ; t = t+6...
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// Version 2: Better specification #include <limits.h> /*@ requires x > INT_MIN; behavior positive: assumes x > 0; ensures \result == \old(x); behavior negative: assumes x < 0; ensures \result == \old(-x); */ int abs(int x) { if (x < 0) return -x; else return x; } int main() { ...
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/*@ requires \valid(a) && \valid_read(b); requires \separated(a, b); assigns *a; ensures *a == \old(*a) + *b; ensures *b == \old(*b); */ int incr_a_by_b(int* a, int const* b){ *a += *b; return *a; }
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/*@ requires n>0; requires\valid_read(arr + (0..n-1)); */ void cummilativeSum(int arr[], int n) { int sum = 0, prev = 0, j, x; /*@ loop invariant \exists integer i; 0 <= i < n ==> arr[j] == prev + arr[i]; loop invariant 0 <= j <= n; loop assigns j, arr[0..j+1], prev; loop variant n-j; */ for (j = 0; j ...
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/*@ predicate sorted{L}(int* a, integer length) = \forall integer i,j; 0<=i<=j<length ==> a[i]<=a[j]; */ /*@ requires \valid(a+(0..length-1)); requires length > 0; assigns a[0..length-1]; ensures sorted(a,length); */ void sort (int* a, int length) { int current; /*@ loop invariant 0<=current<lengt...
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/*@ requires a!=0; ensures \result == 1; assigns \nothing; */ int func(int a) { int x, y; int sum, res; if (a == 0){ x = 0; y = 0; } else { x = 5; y = 5; } sum = x + y; res = 10/sum; return res; }
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/*@ requires \true; assigns \nothing; ensures \result == b; */ int deadcode(int a, int b) { if (a > b) { if (a < b) { return a / b; } else if (a == b) { //@ assert 0 == 1; } } return b; }
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#include<limits.h> /*@ ensures \result >= a && \result >= b; */ int max ( int a, int b ) { return INT_MAX ; }
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/*@ @ assigns \nothing; @ ensures \result <= a; @ ensures \result <= b; @ ensures \result == a || \result == b; */ int min(int a, int b) { return (a < b) ? a : b; }
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#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: \va...
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/*@ 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; }
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/*@requires a>0 && a<2147483647; ensures\result>1;*/ int next(int a) {return a + 1;}
4
/*@ 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);...
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#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;...
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/* * Frama-C version: Sulfur-20171101 * Alt-Ergo version: 1.30 * * Run with: * frama-c -wp -wp-prover alt-ergo -wp-rte -wp-timeout 10 -wp-verbose 0 find-double.c -then -report * */ #include <stdbool.h> #define MAXV 1000000 /*@ predicate doublesInside(integer N, int* a, integer res) = @ \exists integer ii; ...
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/*@ 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 ...
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/*@ 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...
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/*@ assigns \nothing; ensures \result == (a+b)/2; */ int average(int a, int b) { int average = 0; int greater; int smaller; if (a > b) { greater = a; smaller = b; } else { greater = b; smaller = a; } if (a >= 0 && b >= 0) { average = smaller + (greater - smaller) / 2; } else if (a < 0...
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#define INT_MIN (-2147483648) #define INT_MAX 2147483647 /*@ requires INT_MIN <= a + b <= INT_MAX; assigns \nothing; ensures \result == a + b; */ int sum(int a, int b) { return a + b; }
6
#include <limits.h> struct A { unsigned int size; unsigned int pos; }; typedef struct A A; /*@ requires \valid(a); requires length <= 64; requires a->pos + length <= UINT_MAX; requires a->pos + length <= a->size; assigns a->pos; ensures a->pos == \old(a->pos) + length; */ void f...
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/*@ 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...
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/*@ assigns \nothing; ensures \result >= a; ensures \result >= b; ensures \result == a || \result == b; */ int max(int a, int b) { return a > b ? a : b; }
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/*@ 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; }
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/*@ 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 && ...
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// remplir un tableau avec une valeur donnée /*@ requires \valid (t+(0..n-1)); requires n > 0; assigns t[0..n-1]; ensures \forall integer i; 0 <= i < n ==> t[i] == val; */ void fill_array(int t[], int n, int val) { int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> t[j] == val; loop invariant ...
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#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); }
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/* Run with: * * frama-c -wp -wp-prover alt-ergo -wp-rte -wp-timeout 60 -wp-verbose 0 samenum.c -then -report * * Tested with Frama-C Phosphorus-20170501. */ #define MAXN 1000000 #define MAXV 2000000 /*@ predicate isPair{L}(integer N, int* x, integer i, integer j) = @ 0 <= i < j < N && \at(x[i], L) == \at(x[j...
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/*@ 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], L...
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#include <limits.h> /*@ requires x < INT_MAX; ensures \result > x; */ int inc (int x) { return x+1; }
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#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)...
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/*@ axiomatic IntArray { type int_array; logic int access(int_array a, integer i); logic int_array update(int_array a, integer i, int v); axiom access_update_eq : \forall int_array a, integer i, int v; access(update(a, i, v), i) == v; axiom access_update_neq : ...
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/*@ 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) @ && \resu...
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#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) || ...
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/*@ 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; }
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/* run.config_qualif DONTRUN: */ #define NULL ((void *) 0L) /*@ ensures e1: \result == \null; ensures e2: \result == 0; ensures e3: \result == (int *) \null; ensures e4: \result == (int *) 0; ensures e5: \result == (int *)((void *)0); */ int * f (void) { return NULL; }
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#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; }
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#include <stdio.h> #include <stdlib.h> /*@ requires n >= 0; requires \valid_read(a+(0..n-1)); ensures \forall integer k; 0 <= k < n ==> a[k] == a[k]+c; */ void arrayinc(int *a,int n,int c){ /*@ loop invariant 0 <= p <= n; loop invariant \forall integer k; 0 <= k < p ==> a[k] == a[k]+c; ...
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#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: as...
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#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 m...
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/*@ ensures \result <= sizeof(int); */ int f() { return sizeof(char); }
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/* * 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 (...
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/* run.config COMMENT: bts #1478 about wrong detection of initializers in pre-analysis */ int global_i; int* global_i_ptr = &global_i; int global_i = 0; /*@ requires global_i == 0; requires \valid(global_i_ptr); requires global_i_ptr == &global_i; */ void loop(void) { } int main(void) { loop(); return...
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/*@ 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; }
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// Returns the index of an element in a given array /*@ requires n>0; requires \valid(t+(0..n-1)); behavior success: assumes \exists integer i; 0<=i<n && t[i] == e; ensures 0 <= \result < n && t[\result]==e; behavior failure: assumes \forall integer i; 0<=i<n ==> t[i]!=e; ensures \result==...
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#define SPEC_INT_MIN -2147483648 #define SPEC_INT_MAX 2147483647 /*@ //requires SPEC_INT_MIN < a <= SPEC_INT_MAX; requires SPEC_INT_MIN < a; assigns \nothing; ensures \result >= 0; behavior positive: assumes a > 0; ensures \result == a; behavior zero: assumes a == 0; ens...
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/* Run with: * * frama-c -wp -wp-rte -wp-prover alt-ergo -wp-timeout 10 -wp-verbose 0 \ * kylikeio.c -then -report * * Tested with Frama-C Aluminium-20160502. */ /*@ predicate canSee{L}(integer N, int *x, integer i) = @ \forall integer j; i < j < N ==> \at(x[i], L) > \at(x[j], L); @*/ /*@ predicate cou...
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#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...
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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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#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...
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#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) &...
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/*@ requires \valid(p); assigns \nothing; ensures \result == 42; */ int foo(int* p) { return 42; }
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/*@ 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 assigns i, key, j, A[0....
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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 ...
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/*@ 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...
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#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 <...
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/*@ 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...
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/*@ ensures \result == *p; */ int foo(int* p) { return *p; }
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/* * strnlen() */ #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...
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/*@ 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; }
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/*@ 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; }
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/* run.config COMMENT: function call STDOPT: +"-val-builtin malloc:Frama_C_alloc_size,free:Frama_C_free -no-val-malloc-returns-null" */ #include <stdlib.h> //extern void *malloc(unsigned int size); /*@ ensures \valid(\result); */ int *f(int *x, int *y) { *y = 1; return x; } int main() { int x = 0, *p, *...
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typedef struct _list { int i; } *list; /*@ requires \valid(p); */ void f(list p) {} /*@ requires \valid(p); */ void g(struct _list* p) {}
4
#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...
9
/*@ 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; }
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#define N 12 int array[ N ]; /*@ ensures 0 <= \result < N; */ int get_index(void); void main() { int i = get_index(); array[ i ] = 3; } #ifndef FRAMA_C int get_index(void) { int i = 7; return i; } #endif
7
/*@ 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 ; }
6
struct account { int lower_limit; int balance; int upper_limit; }; /*@ predicate valid_account{L}(struct account* account) = \valid(account) && account->lower_limit <= account->balance <= account->upper_limit; */ /*@ requires valid_account(account) && 0<= amount <= account->upper_limit - account -> balance; as...
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/*@ requires \valid(a + (0..n-1)); requires \forall integer i, integer j; 0 <= i < j < n ==> a[i] <= a[j]; assigns \nothing; ensures 0 <= \result <= n; ensures \forall integer k; 0 <= k < \result ==> a[k] < val; ensures \forall integer k; \result <= k < n ==> val <= a[k]; */ unsigned lower_bound(co...
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/*@ predicate all_equal_in_range{L}(int *x, integer minidx, integer maxidx) = @ \forall integer k; minidx <= k < minidx + maxidx ==> \at(x[minidx], L) == \at(x[k], L) @ ; */ /*@ predicate not_equal_in_range{L}(int *x, integer minidx, integer maxidx) = @ \exists integer k; minidx <= k < maxidx && \at(x[m...
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/*@ predicate is_divisor(integer m, integer n) = (m != 0) ==> n % m == 0; */ /*@ predicate is_gcd(integer z, integer x1, integer x2) = is_divisor(z, x1) && is_divisor(z, x2) && \forall integer i; is_divisor(i, x1) && is_divisor(i, x2) ==> (i <= z); */ /*@ axiomatic gcd { logic integer gcd(integer...
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#include <limits.h> #include <string.h> /*@ predicate match_w(char * x0) = ((x0[0]=='a') && ((x0[1]=='a') && ((x0[2]=='b') && ((x0[3]=='a') && (x0[4]=='a')))));*/ /*@ assigns \nothing; ensures \result <==> match_w(x0); */ int match_w(char * x0) { char x2 = x0[0]; int x3 = x2 == 'a'; int x16; if (x3) { cha...
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/*@ 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 &...
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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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/*@ requires n > 0; requires \forall int i; 0<= i <= n-1 ==> \valid(p + i); assigns \nothing; ensures \forall int i; 0 <= i <= n-1 ==> \result >= p[i]; ensures \exists int i; 0 <= i <= n-1 && \result == p[i]; */ int max_seq(int* p, int n); int max_seq(int* p, int n) { int res = *p; int i; /*@ gho...
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/*@ @ predicate canSee{L} (integer N, int *x, integer i) = @ \forall integer j; i < j < N ==> \at(x[i], L) > \at(x[j], L); @*/ /*@ @ predicate countTall{L} (integer N, int *x, integer i, integer c) = @ i >= N ? c == 0 : @ canSee{L}(N, x, i) ? countTall{L}(N, x, i + 1, c - 1) @ : countTall{L}(...
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//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; ...
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/*@ @ requires n > 0; @ requires \valid(a+(0..n - 1)); @ @ assigns \nothing; @ behavior okay_: @ assumes \exists int i; 0 <= i < n && a[i] == val; @ ensures 0 <= \result < n; @ ensures \forall int i; 0 <= i < \result ==> a[i] != val; @ ensures a[\result] == val; @ behavior not_okay_: @ ...
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/*@ 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; }
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/*@ requires n > 0; requires \forall integer i,j; 0 <= i <= j <= n-1 ==> a[i] <= a[j]; requires \valid_read(a + (0..n-1)); ensures (\forall integer k; 0 <= k <= n-1 ==> a[k] != x) || x == a[\result]; assigns \nothing; */ int binarysearch(int* a, int x, int n) { int low = -1; int high = n; int p; /*...
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#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 ((st...
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/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-ltl tests/aorai/goto.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<=5000; /*@ requires rr<5000; @ behavior j : @ e...
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/*@ requires 0<=first<=180 && 0<=second<=180; ensures \result + first + second == 180; */ int last_angle(int first,int second){ return 180 - first - second; }
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#include <limits.h> /*@ requires (x0<INT_MAX); assigns \nothing; ensures (\result>x0); */ int inc(int x0) { int x2 = x0 + 1; return x2; }
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#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...
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#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) { ...
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