```// ************************************************************************** //
//                                                                            //
//    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                                             //
//                                                                            //
// ************************************************************************** //
// BubbleSort first performs the following compare/swap operations on an      //
// array b: (0,1); (1,2); (2,3); ..., (n-2,n-1). Then, the maximal element    //
// is at the rightmost position b[n-1]. After this, in round i, the swap      //
// operations (0,1); (1,2); (2,3); ..., (n-i-1,n-i) are performed, so         //
// that b[n-i..n-1] contains already the final elements. The algorithm is     //
// called BubbleSort, since the maximal elements in the remaining part of     //
// the array rise up like bubbles in a fluid.                                 //
// ************************************************************************** //

macro aSize = 16;
macro iSize = 64;

module BubbleSort([aSize]int{iSize} ?a,b, event !ready) {
for(i=0..(aSize-1))
b[i] = a[i];
for(i=1..aSize-1) {
for(j=1..aSize-i) {
if(b[j-1] > b[j]) {
next(b[j]) = b[j-1];
next(b[j-1]) = b[j];
}
pause;
// an invariant is here that b[j] is the max of b[0..j]
assert(forall(k=0..j-1) (b[k]<=b[j]));
}
// an invariant is here that b[aSize-i..aSize-1] is already sorted
assert(forall(k=1..i-1) (b[aSize-k-1]<=b[aSize-k]));
}
}
drivenby Test01 {
for(i=0..aSize-1) a[i] = i;
for(i=0..aSize-1) assert(b[i] == i);
}
drivenby Test02 {
for(i=0..aSize-1) a[i] = aSize-1-i;