```// ************************************************************************** //
//                                                                            //
//    eses                   eses                                             //
//   eses                     eses                                            //
//  eses    eseses  esesese    eses   Embedded Systems Group                  //
//  ese    ese  ese ese         ese                                           //
//  ese    eseseses eseseses    ese   Department of Computer Science          //
//  eses   eses          ese   eses                                           //
//   eses   eseses  eseseses  eses    University of Kaiserslautern            //
//    eses                   eses                                             //
//                                                                            //
// ************************************************************************** //
// The following module implements a multiplication of 2-complement numbers.  //
// The algorithm is essentially the same as in IntMulCRACRA_V0, except that   //
// several redundant negations have been eliminated: it can be seen in the    //
// algorithm IntMulCRACRA_V0 that the carry outputs of the leftmost full      //
// adders are first negated and their only use as inputs in these full adders //
// also negates these values. Thus, we can restrict the negation to the pin   //
// input of the uppermost leftmost full adder, and the pout output of the     //
// lowest leftmost full adder.                                                //
// ************************************************************************** //

macro M = 5;    // number of digits used
macro N = 3;    // number of digits used
macro dval(x,i,k) = (i==k-1 ? -(x[i]?1:0) : (x[i]?1:0));
macro intval(x,k) = sum(i=0..k-1) (dval(x,i,k) * exp(2,i));

module IntMulCRACRA_V1([M]bool ?x,[N]bool ?y,[M+N]bool p) {
event [M-1][N]bool pp;  // digits of partial products
event [M][N-1]bool cp;  // carries for summation
event sM;
// construct M x N multiplier array
for(i=0..M-1) {
// IntAdd/IntSub of pp[i-1][N-1..0] and x[i]&y[N-1..0]
for(j=0..N-2) {
let(xyin = (i==M-1 ? !(x[i]&y[j]) : x[i]&y[j]))
let(pin  = (i==0 ? false : pp[i-1][j]))
let(cin  = (j==0 ? (i==M-1) : cp[i][j-1]))
let(pout = (j==0 | i==M-1 ? p[i+j] : pp[i][j-1]))
let(cout = cp[i][j])
}
// most significant digits pp[i-1][N-1] and x[i]&y[N-1]
let(xyin = (i==M-1 ? x[M-1]&y[N-1] : !(x[i]&y[N-1])))
let(pin  = (i==0 ? true : pp[i-1][N-1]))
let(cin  = cp[i][N-2])
let(pout = (i==M-1 ? p[M+N-2] : pp[i][N-2]))
let(cout = (i==M-1 ? sM : pp[i][N-1]))