Zm.hh

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#ifndef Zm_h
#define Zm_h
 
#include "typedefs.hh"
 
namespace concepts {
  // ******************************************************************** Z2 **
 
  class Z2 {
    uchar i_;
  public:
    Z2() : i_(0) {}
    Z2(uint i) : i_(i&1) {}
 
    operator int() const { return i_; }
 
    int operator=(int i) { return i_ = i & 1; }  
    int operator++() { return i_ ^= 1; }
    Z2 succ() const { return i_ ^ 1; }
  };
 
  // ******************************************************************** Z3 **
 
  class Z3 {
    uchar i_;
  public:
    Z3() : i_(0) {}
    Z3(uint i) : i_(i - 3 * (i / 3)) {}
 
    operator int() const { return i_; }
 
    int operator=(int i) { return i_ = i - 3 * (i / 3); }  
    int operator++() { return i_ = i_ == 2 ? 0 : i_ + 1; }
    int operator--() { return i_ = i_ ? i_ - 1 : 2; }
    Z3 succ() const { return i_ == 2 ? 0 : i_ + 1; }
    Z3 pred() const { return i_ ? i_ - 1 : 2; }
  };
 
  // ******************************************************************** Z4 **
 
  class Z4 {
    uchar i_;
  public:
    Z4() : i_(0) {}
    Z4(uint i) : i_(i & 3) {}
 
    operator int() const { return i_; }
 
    int operator=(int i) { return i_ = i & 3; }  
    int operator++() { ++i_; return i_ &= 3; }
    int operator--() { --i_; return i_ &= 3; }
    Z4 succ() const { return (i_ + 1) & 3; }
    Z4 pred() const { return (i_ - 1) & 3; }
  };
 
} // namespace concepts
 
#endif // Zm_h