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SIM-(2,2,-,5)-rxdiff-compatible.cpp
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SIM-(2,2,-,5)-rxdiff-compatible.cpp
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#include <iostream>
#include <cstdlib>
#include <cmath>
using namespace std;
void printhead()
{
cout << "(set-logic QF_ABV)" << endl;
cout << "(set-info :smt-lib-version 2.5)" << endl;
cout << "(set-option :produce-models true)" <<endl;
}
void declare(int r)
{
for(int i=1; i<=r; i++)
{
cout << "(declare-fun lft_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun rgt_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun key_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun d_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun varibits_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun doublebits_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun z_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun wr_" << i << " () (_ BitVec 16)) " <<endl;
}
cout << "(declare-fun lft_" << r+1 << " () (_ BitVec 16)) " ;
cout << "(declare-fun rgt_" << r+1 << " () (_ BitVec 16)) " ;
cout << endl;
for(int i=1; i<=r; i++)
{
cout << "(declare-fun k_" << i << " () (_ BitVec 16)) " <<endl;
}
for(int i=1; i<=(r+1); i++)
{
cout << "(declare-fun value_k_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun value_kpie_" << i << " () (_ BitVec 16)) " <<endl;
}
for(int i=1; i<=(r+1); i++)
{
cout << "(declare-fun value_lft_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun value_rgt_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun value_lftpie_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun value_rgtpie_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun rxdiff_lft_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun rxdiff_rgt_" << i << " () (_ BitVec 16)) " <<endl;
cout << "(declare-fun rxdiff_k_" << i << " () (_ BitVec 16)) " <<endl;
}
for(int i = 1; i <= (r-4); i++)
{
cout << "(declare-fun c_" << i << " () (_ BitVec 16)) " <<endl;
}
cout << "(declare-fun Weight () (_ BitVec 16)) " ;
cout << endl;
//define hamming weight
cout <<"(define-fun w_H0 ((x (_ BitVec 16))) (_ BitVec 16)"<<endl;
cout <<" (bvadd (bvand x #x5555 )"<<endl;
cout <<" (bvand (bvlshr x #x0001) #x5555 )))"<<endl;
cout <<"(define-fun w_H1 ((x (_ BitVec 16))) (_ BitVec 16)"<<endl;
cout <<" (bvadd (bvand x #x3333 )"<<endl;
cout <<" (bvand (bvlshr x #x0002) #x3333 )))"<<endl;
cout <<"(define-fun w_H2 ((x (_ BitVec 16))) (_ BitVec 16)"<<endl;
cout <<" (bvadd (bvand x #x0f0f )"<<endl;
cout <<" (bvand (bvlshr x #x0004) #x0f0f)))"<<endl;
cout <<"(define-fun w_H3 ((x (_ BitVec 16))) (_ BitVec 16)"<<endl;
cout <<" (bvadd (bvand x #x00ff )"<<endl;
cout <<" (bvand (bvlshr x #x0008) #x00ff )))"<<endl;
cout <<"(define-fun w_H ((x (_ BitVec 16))) (_ BitVec 16) (w_H3 (w_H2 (w_H1 (w_H0 x)))))"<<endl;
}
void cczformula_delta(int r)
{
//key schedule-z3
for(int i=1; i<= (r-4);i++)
{
if((i == 1) || (i == 2) || (i == 4) || (i == 5)
|| (i == 7) || (i == 8) || (i == 9)||
(i == 11) || (i == 13) || (i == 14) ||
(i == 18) || (i == 19) || (i == 22) ||
(i == 24) || (i == 25) || (i == 26) ||
(i == 27) || (i == 34) || (i == 37))
{
cout<< " (assert (= c_"<<i<<" #xfffd))"<<endl;
}
else
{
cout<< " (assert (= c_"<<i<<" #xfffc))"<<endl;
}
}
for(int i=1; i<=(r-4);i++)
{
cout<< " (assert (= k_"<< i+4 <<" (bvxor ((_ rotate_right 1)(bvxor ((_ rotate_right 3) k_"<< i+3<<") k_"<< i+1<<"))(bvxor (bvxor k_"<< i<<" (bvxor ((_ rotate_left 1) c_"<< i<<") c_"<< i<<")) (bvxor ((_ rotate_right 3) k_"<< i+3<<") k_"<< i+1<<")))))"<<endl;
}
//data part
for(int i = 1; i <= r;i++)
{
cout<< " (assert (= key_"<<i<<" k_"<<i<<"))"<<endl;
cout<< " (assert (= rgt_"<< i+1 <<" lft_"<< i<<" ))"<<endl;
cout<< " (assert (= varibits_"<< i <<" (bvor ((_ rotate_left 8) lft_"<< i <<") ((_ rotate_left 1)lft_"<< i <<"))))"<<endl;
cout<< " (assert (= doublebits_"<< i <<" (bvand (bvand (bvxor ((_ rotate_left 8) lft_"<< i <<") #xffff) ((_ rotate_left 1)lft_"<< i <<")) ((_ rotate_left 15) lft_"<< i <<"))))"<<endl;
cout<< " (assert (= #x0000 (bvand (bvxor varibits_"<< i <<" #xffff) d_"<< i <<"))) "<<endl;
cout<< " (assert (= #x0000 (bvand (bvxor ((_ rotate_left 7) d_"<< i <<") d_"<< i <<") doublebits_"<< i <<"))) "<<endl;
cout<< " (assert (= lft_"<< i+1 <<" (bvxor (bvxor rgt_"<<i<<" d_"<<i<<") (bvxor ((_ rotate_left 2) lft_"<<i<<") key_"<<i<<"))))"<<endl;
cout<< " (assert (= z_"<< i <<" (bvxor varibits_"<< i <<" doublebits_"<< i <<")))"<<endl;
}
}
void cczformula_value(int r)
{
//key schedule
for(int i=1; i<=(r-4);i++)
{
cout<< " (assert (= value_k_"<< i+4 <<" (bvxor ((_ rotate_right 1)(bvxor ((_ rotate_right 3) value_k_"<< i+3<<") value_k_"<< i+1<<"))(bvxor (bvxor value_k_"<< i<<" c_"<< i<<") (bvxor ((_ rotate_right 3) value_k_"<< i+3<<") value_k_"<< i+1<<")))))"<<endl;
}
for(int i=1; i<=(r-4);i++)
{
cout<< " (assert (= value_kpie_"<< i+4 <<" (bvxor ((_ rotate_right 1)(bvxor ((_ rotate_right 3) value_kpie_"<< i+3<<") value_kpie_"<< i+1<<"))(bvxor (bvxor value_kpie_"<< i<<" c_"<< i<<") (bvxor ((_ rotate_right 3) value_kpie_"<< i+3<<") value_kpie_"<< i+1<<")))))"<<endl;
}
for(int i=1; i<=r;i++)
{
cout<< " (assert (= rxdiff_k_"<< i <<" (bvxor ((_ rotate_left 1) value_k_"<< i <<") value_kpie_"<< i <<")))"<<endl;
}
for(int i=1; i<=r;i++)
{
cout<< " (assert (= rxdiff_k_"<< i <<" key_"<<i<<"))"<<endl;
}
//data part
for(int i=1; i<=r;i++)
{
cout<< " (assert (= value_rgt_"<< i+1 <<" value_lft_"<< i <<"))"<<endl;
cout<< " (assert (= value_lft_"<< i+1 <<" (bvxor (bvxor (bvxor (bvand ((_ rotate_left 8) value_lft_"<< i <<") ((_ rotate_left 1) value_lft_"<< i <<")) ((_ rotate_left 2) value_lft_"<< i <<")) value_rgt_"<< i <<") value_k_"<< i <<")))"<<endl;
}
for(int i=1; i<=r;i++)
{
cout<< " (assert (= value_rgtpie_"<< i+1 <<" value_lftpie_"<< i <<"))"<<endl;
cout<< " (assert (= value_lftpie_"<< i+1 <<" (bvxor (bvxor (bvxor (bvand ((_ rotate_left 8) value_lftpie_"<< i <<") ((_ rotate_left 1) value_lftpie_"<< i <<")) ((_ rotate_left 2) value_lftpie_"<< i <<")) value_rgtpie_"<< i <<") value_kpie_"<< i <<")))"<<endl;
}
for(int i=1; i<=(r+1);i++)
{
cout<< " (assert (= rxdiff_lft_"<< i <<" (bvxor ((_ rotate_left 1) value_lft_"<< i <<") value_lftpie_"<< i <<")))"<<endl;
cout<< " (assert (= rxdiff_rgt_"<< i <<" (bvxor ((_ rotate_left 1) value_rgt_"<< i <<") value_rgtpie_"<< i <<")))"<<endl;
}
for(int i=1; i<=(r+1);i++)
{
cout<< " (assert (= rxdiff_lft_"<< i <<" lft_"<<i<<"))"<<endl;
cout<< " (assert (= rxdiff_rgt_"<< i <<" rgt_"<<i<<"))"<<endl;
}
}
void objectivefun(int r,int bound_plain)
{
for(int i=1; i<=r;i++)
{
cout<< " (assert (= wr_"<<i<<" (w_H z_"<<i<<")))"<<endl;
}
cout << " (assert (= ";
for(int i=1; i<=r; i++)
{
if(i<r)
{
cout << "(bvadd wr_"<<i<<" ";
}
else
{
cout << "wr_"<< r <<" ";
}
}
for(int i=1; i<r; i++)
{
cout << ")";
}
cout <<" (_ bv"<<bound_plain<<" 16)))"<<endl;
}
void tail(int r)
{
cout << "(check-sat)" << endl;
for(int i=1;i<=(r+1);i++)
{
cout << "(get-value (value_lft_"<< i <<"))" << endl;
cout << "(get-value (value_rgt_"<< i <<"))" << endl;
cout << "(get-value (value_lftpie_"<< i <<"))" << endl;
cout << "(get-value (value_rgtpie_"<< i <<"))" << endl;
cout << "(get-value (rxdiff_lft_"<< i <<"))" << endl;
cout << "(get-value (lft_"<< i <<"))" << endl;
cout << "(get-value (rxdiff_rgt_"<< i <<"))" << endl;
cout << "(get-value (rgt_"<< i <<"))" << endl;
}
for(int i=1;i<=r;i++)
{
cout << "(get-value (value_k_"<< i <<"))" << endl;
cout << "(get-value (value_kpie_"<< i <<"))" << endl;
cout << "(get-value (rxdiff_k_"<< i <<"))" << endl;
cout << "(get-value (key_"<< i <<"))" << endl;
}
for(int i=1;i<=r;i++)
{
cout << "(get-value (k_"<< i <<"))" << endl;
}
for(int i=1;i<=r;i++)
{
cout << "(get-value (lft_"<< i <<"))" << endl;
cout << "(get-value (rgt_"<< i <<"))" << endl;
cout << "(get-value (key_"<< i <<"))" << endl;
cout << "(get-value (d_"<< i <<"))" << endl;
cout << "(get-value (z_"<< i <<"))" << endl;
cout << "(get-value (wr_"<< i <<"))" << endl;
}
cout << "(get-value (lft_"<< r+1 <<"))" << endl;
cout << "(get-value (rgt_"<< r+1 <<"))" << endl;
cout << "(exit)" << endl;
}
int main(int argc, char** argv)
{
int ROUND = atoi(argv[1]);
int BOUND_PLAIN = atoi(argv[2]);
printhead();
declare(ROUND);
cczformula_delta(ROUND);
cczformula_value(ROUND);
objectivefun(ROUND,BOUND_PLAIN);
tail(ROUND);
return 0;
}