sc_unsigned.hh

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  more contributor license agreements.  See the NOTICE file distributed
  with this work for additional information regarding copyright ownership.
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/*****************************************************************************

  sc_unsigned.h -- Arbitrary precision unsigned arithmetic.

    This file includes the definitions of sc_unsigned_bitref,
    sc_unsigned_subref, and sc_unsigned classes. The first two classes
    are proxy classes to reference one bit and a range of bits of a
    sc_unsigned number, respectively.

    An sc_signed number has the sign-magnitude representation
    internally. However, its interface guarantees a 2's-complement
    representation. The sign-magnitude representation is chosen
    because of its efficiency: The sc_signed and sc_unsigned types are
    optimized for arithmetic rather than bitwise operations. For
    arithmetic operations, the sign-magnitude representation performs
    better.

    It is also important to note that an sc_unsigned number with n
    bits is equivalent to an sc_signed non-negative number with n + 1
    bits.

    The implementations of sc_signed and sc_unsigned classes are
    almost identical: Most of the member and friend functions are
    defined in sc_nbcommon.cpp and sc_nbfriends.cpp so that they can
    be shared by both of these classes. These functions are chosed by
    defining a few macros before including them such as IF_SC_SIGNED
    and CLASS_TYPE. Our implementation choices are mostly dictated by
    performance considerations in that we tried to provide the most
    efficient sc_signed and sc_unsigned types without compromising
    their interface.

    For the behavior of operators, we have two semantics: the old and
    new. The most important difference between these two semantics is
    that the old semantics is closer to C/C++ semantics in that the
    result type of a binary operator on unsigned and signed arguments
    is unsigned; the new semantics, on the other hand, requires the
    result type be signed. The new semantics is required by the VSIA
    C/C++ data types standard. We have implemented the new semantics.

  Original Author: Ali Dasdan, Synopsys, Inc.

 *****************************************************************************/

/*****************************************************************************

  MODIFICATION LOG - modifiers, enter your name, affiliation, date and
  changes you are making here.

      Name, Affiliation, Date:
  Description of Modification:

 *****************************************************************************/

// $Log: sc_unsigned.h,v $
// Revision 1.4  2011/08/24 22:05:46  acg
//  Torsten Maehne: initialization changes to remove warnings.
//
// Revision 1.3  2011/02/18 20:19:15  acg
//  Andy Goodrich: updating Copyright notice.
//
// Revision 1.2  2009/02/28 00:26:26  acg
//  Andy Goodrich: bug fixes.
//
// Revision 1.1.1.1  2006/12/15 20:20:05  acg
// SystemC 2.3
//
// Revision 1.5  2006/05/08 17:50:02  acg
//   Andy Goodrich: Added David Long's declarations for friend operators,
//   functions, and methods, to keep the Microsoft compiler happy.
//
// Revision 1.4  2006/03/13 20:25:27  acg
//  Andy Goodrich: Addition of function declarations, e.g., xor_signed_friend()
//  to keep gcc 4.x happy.
//
// Revision 1.3  2006/01/13 18:49:32  acg
// Added $Log command so that CVS check in comments are reproduced in the
// source.
//

#ifndef __SYSTEMC_EXT_DT_INT_SC_UNSIGNED_HH__
#define __SYSTEMC_EXT_DT_INT_SC_UNSIGNED_HH__

#include <iostream>

#include "../misc/sc_value_base.hh"
#include "../sc_temporary.hh"
#include "sc_length_param.hh"
#include "sc_nbdefs.hh"
#include "sc_nbexterns.hh"
#include "sc_nbutils.hh"

namespace sc_dt
{

// classes defined in this module
class sc_unsigned_bitref_r;
class sc_unsigned_bitref;
class sc_unsigned_subref_r;
class sc_unsigned_subref;
class sc_concatref;
class sc_unsigned;

// forward class declarations
class sc_bv_base;
class sc_lv_base;
class sc_int_base;
class sc_uint_base;
class sc_int_subref_r;
class sc_uint_subref_r;
class sc_signed;
class sc_signed_subref_r;
class sc_fxval;
class sc_fxval_fast;
class sc_fxnum;
class sc_fxnum_fast;

} // namespace sc_dt

// extern template instantiations
namespace sc_core
{

extern template class sc_vpool<sc_dt::sc_unsigned_bitref>;
extern template class sc_vpool<sc_dt::sc_unsigned_subref>;
extern template class sc_vpool<sc_dt::sc_unsigned>;

} // namespace sc_core

namespace sc_dt
{

// Helper function declarions
int compare_unsigned(small_type us, int unb, int und, const sc_digit *ud,
                     small_type vs, int vnb, int vnd, const sc_digit *vd,
                     small_type if_u_signed=0, small_type if_v_signed=0);

sc_unsigned add_unsigned_friend(
        small_type us, int unb, int und, const sc_digit *ud,
        small_type vs, int vnb, int vnd, const sc_digit *vd);

sc_unsigned sub_unsigned_friend(
        small_type us, int unb, int und, const sc_digit *ud,
        small_type vs, int vnb, int vnd, const sc_digit *vd);

sc_unsigned mul_unsigned_friend(
        small_type s, int unb, int und, const sc_digit *ud,
        int vnb, int vnd, const sc_digit *vd);

sc_unsigned div_unsigned_friend(
        small_type s, int unb, int und, const sc_digit *ud,
        int vnb, int vnd, const sc_digit *vd);

sc_unsigned mod_unsigned_friend(
        small_type us, int unb, int und, const sc_digit *ud,
        int vnb, int vnd, const sc_digit *vd);

sc_unsigned and_unsigned_friend(
        small_type us, int unb, int und, const sc_digit *ud,
        small_type vs, int vnb, int vnd, const sc_digit *vd);


sc_unsigned or_unsigned_friend(
        small_type us, int unb, int und, const sc_digit *ud,
        small_type vs, int vnb, int vnd, const sc_digit *vd);

sc_unsigned xor_unsigned_friend(
        small_type us, int unb, int und, const sc_digit *ud,
        small_type vs, int vnb, int vnd, const sc_digit *vd);


/*
 * friend operator declarations
 */

// ARITHMETIC OPERATORS:

// ADDition operators:
sc_signed operator + (const sc_unsigned &u, const sc_signed &v);
sc_signed operator + (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator + (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator + (const sc_unsigned &u, int64 v);
sc_unsigned operator + (const sc_unsigned &u, uint64 v);
sc_signed operator + (const sc_unsigned &u, long v);
sc_unsigned operator + (const sc_unsigned &u, unsigned long v);
sc_signed operator + (const sc_unsigned &u, int v);
inline sc_unsigned operator + (const sc_unsigned &u, unsigned int v);

sc_signed operator + (int64 u, const sc_unsigned &v);
sc_unsigned operator + (uint64 u, const sc_unsigned &v);
sc_signed operator + (long u, const sc_unsigned &v);
sc_unsigned operator + (unsigned long u, const sc_unsigned &v);
sc_signed operator + (int u, const sc_unsigned &v);
inline sc_unsigned operator + (unsigned int u, const sc_unsigned &v);

sc_unsigned operator + (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator + (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator + (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator + (const sc_int_base &u, const sc_unsigned &v);

// SUBtraction operators:
sc_signed operator - (const sc_unsigned &u, const sc_signed &v);
sc_signed operator - (const sc_signed &u, const sc_unsigned &v);

sc_signed operator - (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator - (const sc_unsigned &u, int64 v);
sc_signed operator - (const sc_unsigned &u, uint64 v);
sc_signed operator - (const sc_unsigned &u, long v);
sc_signed operator - (const sc_unsigned &u, unsigned long v);
sc_signed operator - (const sc_unsigned &u, int v);
sc_signed operator - (const sc_unsigned &u, unsigned int v);

sc_signed operator - (int64 u, const sc_unsigned &v);
sc_signed operator - (uint64 u, const sc_unsigned &v);
sc_signed operator - (long u, const sc_unsigned &v);
sc_signed operator - (unsigned long u, const sc_unsigned &v);
sc_signed operator - (int u, const sc_unsigned &v);
sc_signed operator - (unsigned int u, const sc_unsigned &v);

sc_signed operator - (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator - (const sc_unsigned &u, const sc_int_base &v);
sc_signed operator - (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator - (const sc_int_base &u, const sc_unsigned &v);

// MULtiplication operators:
sc_signed operator * (const sc_unsigned &u, const sc_signed &v);
sc_signed operator * (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator * (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator * (const sc_unsigned &u, int64 v);
sc_unsigned operator * (const sc_unsigned &u, uint64 v);
sc_signed operator * (const sc_unsigned &u, long v);
sc_unsigned operator * (const sc_unsigned &u, unsigned long v);
sc_signed operator * (const sc_unsigned &u, int v);
inline sc_unsigned operator * (const sc_unsigned &u, unsigned int v);

sc_signed operator * (int64 u, const sc_unsigned &v);
sc_unsigned operator * (uint64 u, const sc_unsigned &v);
sc_signed operator * (long u, const sc_unsigned &v);
sc_unsigned operator * (unsigned long u, const sc_unsigned &v);
sc_signed operator * (int u, const sc_unsigned &v);
inline sc_unsigned operator * (unsigned int u, const sc_unsigned &v);

sc_unsigned operator * (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator * (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator * (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator * (const sc_int_base &u, const sc_unsigned &v);

// DIVision operators:
sc_signed operator / (const sc_unsigned &u, const sc_signed &v);
sc_signed operator / (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator / (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator / (const sc_unsigned &u, int64 v);
sc_unsigned operator / (const sc_unsigned &u, uint64 v);
sc_signed operator / (const sc_unsigned &u, long v);
sc_unsigned operator / (const sc_unsigned &u, unsigned long v);
sc_signed operator / (const sc_unsigned &u, int v);
inline sc_unsigned operator / (const sc_unsigned &u, unsigned int v);

sc_signed operator / (int64 u, const sc_unsigned &v);
sc_unsigned operator / (uint64 u, const sc_unsigned &v);
sc_signed operator / (long u, const sc_unsigned &v);
sc_unsigned operator / (unsigned long u, const sc_unsigned &v);
sc_signed operator / (int u, const sc_unsigned &v);
inline sc_unsigned operator / (unsigned int u, const sc_unsigned &v);

sc_unsigned operator / (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator / (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator / (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator / (const sc_int_base &u, const sc_unsigned &v);

// MODulo operators:
sc_signed operator % (const sc_unsigned &u, const sc_signed &v);
sc_signed operator % (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator % (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator % (const sc_unsigned &u, int64 v);
sc_unsigned operator % (const sc_unsigned &u, uint64 v);
sc_signed operator % (const sc_unsigned &u, long v);
sc_unsigned operator % (const sc_unsigned &u, unsigned long v);
sc_signed operator % (const sc_unsigned &u, int v);
inline sc_unsigned operator % (const sc_unsigned &u, unsigned int v);

sc_signed operator % (int64 u, const sc_unsigned &v);
sc_unsigned operator % (uint64 u, const sc_unsigned &v);
sc_signed operator % (long u, const sc_unsigned &v);
sc_unsigned operator % (unsigned long u, const sc_unsigned &v);
sc_signed operator % (int u, const sc_unsigned &v);
inline sc_unsigned operator % (unsigned int u, const sc_unsigned &v);

sc_unsigned operator % (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator % (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator % (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator % (const sc_int_base &u, const sc_unsigned &v);

// BITWISE OPERATORS:

// Bitwise AND operators:
sc_signed operator & (const sc_unsigned &u, const sc_signed &v);
sc_signed operator & (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator & (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator & (const sc_unsigned &u, int64 v);
sc_unsigned operator & (const sc_unsigned &u, uint64 v);
sc_signed operator & (const sc_unsigned &u, long v);
sc_unsigned operator & (const sc_unsigned &u, unsigned long v);
sc_signed operator & (const sc_unsigned &u, int v);
inline sc_unsigned operator & (const sc_unsigned &u, unsigned int v);

sc_signed operator & (int64 u, const sc_unsigned &v);
sc_unsigned operator & (uint64 u, const sc_unsigned &v);
sc_signed operator & (long u, const sc_unsigned &v);
sc_unsigned operator & (unsigned long u, const sc_unsigned &v);
sc_signed operator & (int u, const sc_unsigned &v);
inline sc_unsigned operator & (unsigned int u, const sc_unsigned &v);

sc_unsigned operator & (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator & (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator & (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator & (const sc_int_base &u, const sc_unsigned &v);

// Bitwise OR operators:
sc_signed operator | (const sc_unsigned &u, const sc_signed &v);
sc_signed operator | (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator | (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator | (const sc_unsigned &u, int64 v);
sc_unsigned operator | (const sc_unsigned &u, uint64 v);
sc_signed operator | (const sc_unsigned &u, long v);
sc_unsigned operator | (const sc_unsigned &u, unsigned long v);
sc_signed operator | (const sc_unsigned &u, int v);
inline sc_unsigned operator | (const sc_unsigned &u, unsigned int v);

sc_signed operator | (int64 u, const sc_unsigned &v);
sc_unsigned operator | (uint64 u, const sc_unsigned &v);
sc_signed operator | (long u, const sc_unsigned &v);
sc_unsigned operator | (unsigned long u, const sc_unsigned &v);
sc_signed operator | (int u, const sc_unsigned &v);
inline sc_unsigned operator | (unsigned int u, const sc_unsigned &v);

sc_unsigned operator | (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator | (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator | (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator | (const sc_int_base &u, const sc_unsigned &v);

// Bitwise XOR operators:
sc_signed operator ^ (const sc_unsigned &u, const sc_signed &v);
sc_signed operator ^ (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator ^ (const sc_unsigned &u, const sc_unsigned &v);
sc_signed operator ^ (const sc_unsigned &u, int64 v);
sc_unsigned operator ^ (const sc_unsigned &u, uint64 v);
sc_signed operator ^ (const sc_unsigned &u, long v);
sc_unsigned operator ^ (const sc_unsigned &u, unsigned long v);
sc_signed operator ^ (const sc_unsigned &u, int v);
inline sc_unsigned operator ^ (const sc_unsigned &u, unsigned int v);

sc_signed operator ^ (int64 u, const sc_unsigned &v);
sc_unsigned operator ^ (uint64 u, const sc_unsigned &v);
sc_signed operator ^ (long u, const sc_unsigned &v);
sc_unsigned operator ^ (unsigned long u, const sc_unsigned &v);
sc_signed operator ^ (int u, const sc_unsigned &v);
inline sc_unsigned operator ^ (unsigned int u, const sc_unsigned &v);

sc_unsigned operator ^ (const sc_unsigned &u, const sc_uint_base &v);
sc_signed operator ^ (const sc_unsigned &u, const sc_int_base &v);
sc_unsigned operator ^ (const sc_uint_base &u, const sc_unsigned &v);
sc_signed operator ^ (const sc_int_base &u, const sc_unsigned &v);

// SHIFT OPERATORS:

// LEFT SHIFT operators:
sc_unsigned operator << (const sc_unsigned &u, const sc_signed &v);
sc_signed operator << (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator << (const sc_unsigned &u, const sc_unsigned &v);
sc_unsigned operator << (const sc_unsigned &u, int64 v);
sc_unsigned operator << (const sc_unsigned &u, uint64 v);
sc_unsigned operator << (const sc_unsigned &u, long v);
sc_unsigned operator << (const sc_unsigned &u, unsigned long v);
inline sc_unsigned operator << (const sc_unsigned &u, int v);
inline sc_unsigned operator << (const sc_unsigned &u, unsigned int v);

sc_unsigned operator << (const sc_unsigned &u, const sc_uint_base &v);
sc_unsigned operator << (const sc_unsigned &u, const sc_int_base &v);

// RIGHT SHIFT operators:
sc_unsigned operator >> (const sc_unsigned &u, const sc_signed &v);
sc_signed operator >> (const sc_signed &u, const sc_unsigned &v);

sc_unsigned operator >> (const sc_unsigned &u, const sc_unsigned &v);
sc_unsigned operator >> (const sc_unsigned &u, int64 v);
sc_unsigned operator >> (const sc_unsigned &u, uint64 v);
sc_unsigned operator >> (const sc_unsigned &u, long v);
sc_unsigned operator >> (const sc_unsigned &u, unsigned long v);
inline sc_unsigned operator >> (const sc_unsigned &u, int v);
inline sc_unsigned operator >> (const sc_unsigned &u, unsigned int v);

sc_unsigned operator >> ( const sc_unsigned &, const sc_uint_base &);
sc_unsigned operator >> ( const sc_unsigned&, const sc_int_base &);

// Unary arithmetic operators
sc_unsigned operator + (const sc_unsigned &u);
sc_signed operator - (const sc_unsigned &u);

// LOGICAL OPERATORS:

// Logical EQUAL operators:
bool operator == (const sc_unsigned &u, const sc_signed &v);
bool operator == (const sc_signed &u, const sc_unsigned &v);

bool operator == (const sc_unsigned &u, const sc_unsigned &v);
bool operator == (const sc_unsigned &u, int64 v);
bool operator == (const sc_unsigned &u, uint64 v);
bool operator == (const sc_unsigned &u, long v);
bool operator == (const sc_unsigned &u, unsigned long v);
inline bool operator == (const sc_unsigned &u, int v);
inline bool operator == (const sc_unsigned &u, unsigned int v);

bool operator == (int64 u, const sc_unsigned &v);
bool operator == (uint64 u, const sc_unsigned &v);
bool operator == (long u, const sc_unsigned &v);
bool operator == (unsigned long u, const sc_unsigned &v);
inline bool operator == (int u, const sc_unsigned &v);
inline bool operator == (unsigned int u, const sc_unsigned &v) ;

bool operator == (const sc_unsigned &u, const sc_uint_base &v);
bool operator == (const sc_unsigned &u, const sc_int_base &v);
bool operator == (const sc_uint_base &u, const sc_unsigned &v);
bool operator == (const sc_int_base &u, const sc_unsigned &v);

// Logical NOT_EQUAL operators:
bool operator != (const sc_unsigned &u, const sc_signed &v);
bool operator != (const sc_signed &u, const sc_unsigned &v);

bool operator != (const sc_unsigned &u, const sc_unsigned &v);
bool operator != (const sc_unsigned &u, int64 v);
bool operator != (const sc_unsigned &u, uint64 v);
bool operator != (const sc_unsigned &u, long v);
bool operator != (const sc_unsigned &u, unsigned long v);
inline bool operator != (const sc_unsigned &u, int v);
inline bool operator != (const sc_unsigned &u, unsigned int v);

bool operator != (int64 u, const sc_unsigned &v);
bool operator != (uint64 u, const sc_unsigned &v);
bool operator != (long u, const sc_unsigned &v);
bool operator != (unsigned long u, const sc_unsigned &v);
inline bool operator != (int u, const sc_unsigned &v);
inline bool operator != (unsigned int u, const sc_unsigned &v);

bool operator != (const sc_unsigned &u, const sc_uint_base &v);
bool operator != (const sc_unsigned &u, const sc_int_base &v);
bool operator != (const sc_uint_base &u, const sc_unsigned &v);
bool operator != (const sc_int_base &u, const sc_unsigned &v);

// Logical LESS_THAN operators:
bool operator < (const sc_unsigned &u, const sc_signed &v);
bool operator < (const sc_signed &u, const sc_unsigned &v);

bool operator < (const sc_unsigned &u, const sc_unsigned &v);
bool operator < (const sc_unsigned &u, int64 v);
bool operator < (const sc_unsigned &u, uint64 v);
bool operator < (const sc_unsigned &u, long v);
bool operator < (const sc_unsigned &u, unsigned long v);
inline bool operator < (const sc_unsigned &u, int v);
inline bool operator < (const sc_unsigned &u, unsigned int v);

bool operator < (int64 u, const sc_unsigned &v);
bool operator < (uint64 u, const sc_unsigned &v);
bool operator < (long u, const sc_unsigned &v);
bool operator < (unsigned long u, const sc_unsigned &v);
inline bool operator < (int u, const sc_unsigned &v);
inline bool operator < (unsigned int u, const sc_unsigned &v);

bool operator < (const sc_unsigned &u, const sc_uint_base &v);
bool operator < (const sc_unsigned &u, const sc_int_base &v);
bool operator < (const sc_uint_base &u, const sc_unsigned &v);
bool operator < (const sc_int_base &u, const sc_unsigned &v);

// Logical LESS_THAN_AND_EQUAL operators:
bool operator <= (const sc_unsigned &u, const sc_signed &v);
bool operator <= (const sc_signed &u, const sc_unsigned &v);

bool operator <= (const sc_unsigned &u, const sc_unsigned &v);
bool operator <= (const sc_unsigned &u, int64 v);
bool operator <= (const sc_unsigned &u, uint64 v);
bool operator <= (const sc_unsigned &u, long v);
bool operator <= (const sc_unsigned &u, unsigned long v);
inline bool operator <= (const sc_unsigned &u, int v);
inline bool operator <= (const sc_unsigned &u, unsigned int v);

bool operator <= (int64 u, const sc_unsigned &v);
bool operator <= (uint64 u, const sc_unsigned &v);
bool operator <= (long u, const sc_unsigned &v);
bool operator <= (unsigned long u, const sc_unsigned &v);
inline bool operator <= (int u, const sc_unsigned &v);
inline bool operator <= (unsigned int u, const sc_unsigned &v);

bool operator <= (const sc_unsigned &u, const sc_uint_base &v);
bool operator <= (const sc_unsigned &u, const sc_int_base &v);
bool operator <= (const sc_uint_base &u, const sc_unsigned &v);
bool operator <= (const sc_int_base &u, const sc_unsigned &v);

// Logical GREATER_THAN operators:
bool operator > (const sc_unsigned &u, const sc_signed &v);
bool operator > (const sc_signed &u, const sc_unsigned &v);

bool operator > (const sc_unsigned &u, const sc_unsigned &v);
bool operator > (const sc_unsigned &u, int64 v);
bool operator > (const sc_unsigned &u, uint64 v);
bool operator > (const sc_unsigned &u, long v);
bool operator > (const sc_unsigned &u, unsigned long v);
inline bool operator > (const sc_unsigned &u, int v);
inline bool operator > (const sc_unsigned &u, unsigned int v);

bool operator > (int64 u, const sc_unsigned &v);
bool operator > (uint64 u, const sc_unsigned &v);
bool operator > (long u, const sc_unsigned &v);
bool operator > (unsigned long u, const sc_unsigned &v);
inline bool operator > (int u, const sc_unsigned &v);
inline bool operator > (unsigned int u, const sc_unsigned &v);

bool operator > (const sc_unsigned &u, const sc_uint_base &v);
bool operator > (const sc_unsigned &u, const sc_int_base &v);
bool operator > (const sc_uint_base &u, const sc_unsigned &v);
bool operator > (const sc_int_base &u, const sc_unsigned &v);

// Logical GREATER_THAN_AND_EQUAL operators:
bool operator >= (const sc_unsigned &u, const sc_signed &v);
bool operator >= (const sc_signed &u, const sc_unsigned &v);

bool operator >= (const sc_unsigned &u, const sc_unsigned &v);
bool operator >= (const sc_unsigned &u, int64 v);
bool operator >= (const sc_unsigned &u, uint64 v);
bool operator >= (const sc_unsigned &u, long v);
bool operator >= (const sc_unsigned &u, unsigned long v);
inline bool operator >= (const sc_unsigned &u, int v);
inline bool operator >= (const sc_unsigned &u, unsigned int v);

bool operator >= (int64 u, const sc_unsigned &v);
bool operator >= (uint64 u, const sc_unsigned &v);
bool operator >= (long u, const sc_unsigned &v);
bool operator >= (unsigned long u, const sc_unsigned &v);
inline bool operator >= (int u, const sc_unsigned &v);
inline bool operator >= (unsigned int u, const sc_unsigned &v);

bool operator >= (const sc_unsigned &u, const sc_uint_base &v);
bool operator >= (const sc_unsigned &u, const sc_int_base &v);
bool operator >= (const sc_uint_base &u, const sc_unsigned &v);
bool operator >= (const sc_int_base &u, const sc_unsigned &v);

// Bitwise NOT operator (unary).
sc_unsigned operator ~ (const sc_unsigned &u);

// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_bitref_r
//
//  Proxy class for sc_unsigned bit selection (r-value only).
// ----------------------------------------------------------------------------

class sc_unsigned_bitref_r : public sc_value_base
{
    friend class sc_unsigned;

  protected:
    // construction and initialization:
    sc_unsigned_bitref_r() : sc_value_base(), m_index(0), m_obj_p(0) {}

    void
    initialize(const sc_unsigned *obj_p, int index_)
    {
        m_obj_p = const_cast<sc_unsigned *>(obj_p);
        m_index = index_;
    }

  public:
    // destructor
    virtual ~sc_unsigned_bitref_r() {}

    // copy constructor
    sc_unsigned_bitref_r(const sc_unsigned_bitref_r &a) :
        sc_value_base(a), m_index(a.m_index), m_obj_p(a.m_obj_p)
    {}

    // capacity
    int length() const { return 1; }

    // implicit conversion to bool
    operator uint64 () const;
    bool operator ! () const;
    bool operator ~ () const;

    // explicit conversions
    uint64 value() const { return operator uint64(); }
    bool to_bool() const { return operator uint64(); }

    // concatenation support
    virtual int
    concat_length(bool *xz_present_p) const
    {
        if (xz_present_p)
            *xz_present_p = false;
        return 1;
    }
    virtual uint64
    concat_get_uint64() const
    {
        return (uint64)operator uint64();
    }
    virtual bool
    concat_get_ctrl(sc_digit *dst_p, int low_i) const
    {
        int bit_mask = 1 << (low_i % BITS_PER_DIGIT);
        int word_i = low_i / BITS_PER_DIGIT;
        dst_p[word_i] &= ~bit_mask;
        return false;
    }
    virtual bool
    concat_get_data(sc_digit *dst_p, int low_i) const
    {
        int bit_mask = 1 << (low_i % BITS_PER_DIGIT);
        bool result; // True if non-zero.
        int word_i = low_i / BITS_PER_DIGIT;
        if (operator uint64())
        {
            dst_p[word_i] |= bit_mask;
            result = true;
        } else {
            dst_p[word_i] &= ~bit_mask;
            result = false;
        }
        return result;
    }

    // other methods
    void print(::std::ostream &os=::std::cout) const { os << to_bool(); }

  protected:
    int m_index;
    sc_unsigned *m_obj_p;

  private:
    // Disabled
    const sc_unsigned_bitref_r &operator = (const sc_unsigned_bitref_r &);
};

inline ::std::ostream &operator << (
        ::std::ostream &, const sc_unsigned_bitref_r &);


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_bitref
//
//  Proxy class for sc_unsigned bit selection (r-value and l-value).
// ----------------------------------------------------------------------------

class sc_unsigned_bitref : public sc_unsigned_bitref_r
{
    friend class sc_unsigned;
    friend class sc_core::sc_vpool<sc_unsigned_bitref>;

  protected: // construction
    sc_unsigned_bitref() : sc_unsigned_bitref_r() {}

  public:
    // copy constructor
    sc_unsigned_bitref(const sc_unsigned_bitref &a) : sc_unsigned_bitref_r(a)
    {}

    // assignment operators
    const sc_unsigned_bitref &operator = (const sc_unsigned_bitref_r &);
    const sc_unsigned_bitref &operator = (const sc_unsigned_bitref &);
    const sc_unsigned_bitref &operator = (bool);

    const sc_unsigned_bitref &operator &= (bool);
    const sc_unsigned_bitref &operator |= (bool);
    const sc_unsigned_bitref &operator ^= (bool);

    // concatenation methods
    virtual void concat_set(int64 src, int low_i);
    virtual void concat_set(const sc_signed &src, int low_i);
    virtual void concat_set(const sc_unsigned &src, int low_i);
    virtual void concat_set(uint64 src, int low_i);

    // other methods
    void scan(::std::istream &is=::std::cin);

  protected:
    static sc_core::sc_vpool<sc_unsigned_bitref> m_pool;
};

inline ::std::istream &operator >> (::std::istream &, sc_unsigned_bitref &);


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_subref_r
//
//  Proxy class for sc_unsigned part selection (r-value only).
// ----------------------------------------------------------------------------

class sc_unsigned_subref_r : public sc_value_base
{
    friend class sc_signed;
    friend class sc_unsigned;
    friend class sc_unsigned_signal;

  protected:
    // constructor
    sc_unsigned_subref_r() : sc_value_base(), m_left(0), m_obj_p(0), m_right(0)
    {}

    void
    initialize(const sc_unsigned *obj_p, int left_, int right_)
    {
        m_obj_p = const_cast<sc_unsigned *>(obj_p);
        m_left = left_;
        m_right = right_;
    }

  public:
    // destructor
    virtual ~sc_unsigned_subref_r() {}

    // copy constructor
    sc_unsigned_subref_r(const sc_unsigned_subref_r &a) :
            sc_value_base(a), m_left(a.m_left), m_obj_p(a.m_obj_p),
            m_right(a.m_right)
    {}

    // capacity
    int
    length() const
    {
        if (m_left >= m_right)
            return m_left - m_right + 1;
        else
            return m_right - m_left + 1;
    }

    // implicit conversion to sc_unsigned
    operator sc_unsigned () const;

    // explicit conversions
    int to_int() const;
    unsigned int to_uint() const;
    long to_long() const;
    unsigned long to_ulong() const;
    int64 to_int64() const;
    uint64 to_uint64() const;
    double to_double() const;

    // explicit conversion to character string
    const std::string to_string(sc_numrep numrep=SC_DEC) const;
    const std::string to_string(sc_numrep numrep, bool w_prefix) const;

    // concatenation support
    virtual int concat_length(bool *xz_present_p) const
    {
        if (xz_present_p)
            *xz_present_p = false;
        return m_left - m_right + 1;
    }
    virtual uint64 concat_get_uint64() const;
    virtual bool concat_get_ctrl(sc_digit *dst_p, int low_i) const;
    virtual bool concat_get_data(sc_digit *dst_p, int low_i) const;

    // reduce methods
    bool and_reduce() const;
    bool nand_reduce() const;
    bool or_reduce() const;
    bool nor_reduce() const;
    bool xor_reduce() const ;
    bool xnor_reduce() const;

    // other methods
    void
    print(::std::ostream &os=::std::cout) const
    {
        os << to_string(sc_io_base(os, SC_DEC), sc_io_show_base(os));
    }

  protected:
    int m_left; // Left-most bit in this part selection.
    sc_unsigned *m_obj_p; // Target of this part selection.
    int m_right; // Right-most bit in this part selection.

  private:
    // Disabled
    const sc_unsigned_subref_r &operator = (const sc_unsigned_subref_r &);
};

inline ::std::ostream &operator << (
        ::std::ostream &, const sc_unsigned_subref_r &);


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_subref
//
//  Proxy class for sc_unsigned part selection (r-value and l-value).
// ----------------------------------------------------------------------------

class sc_unsigned_subref : public sc_unsigned_subref_r
{
    friend class sc_unsigned;
    friend class sc_core::sc_vpool<sc_unsigned_subref>;

    // constructor
  protected:
    sc_unsigned_subref() : sc_unsigned_subref_r() {}

  public:
    // copy constructor
    sc_unsigned_subref(const sc_unsigned_subref &a) : sc_unsigned_subref_r(a)
    {}

    // assignment operators
    const sc_unsigned_subref &operator = (const sc_unsigned_subref_r &a);
    const sc_unsigned_subref &operator = (const sc_unsigned_subref &a);
    const sc_unsigned_subref &operator = (const sc_unsigned &a);

    template<class T>
    const sc_unsigned_subref &operator = (const sc_generic_base<T> &a);
    const sc_unsigned_subref &operator = (const sc_signed_subref_r &a);
    const sc_unsigned_subref &operator = (const sc_signed &a);

    const sc_unsigned_subref &operator = (const char *a);
    const sc_unsigned_subref &operator = (unsigned long a);
    const sc_unsigned_subref &operator = (long a);

    const sc_unsigned_subref &
    operator = (unsigned int a)
    {
        return operator = ((unsigned long)a);
    }

    const sc_unsigned_subref &
    operator = (int a)
    {
        return operator = ((long)a);
    }

    const sc_unsigned_subref &operator = (uint64 a);
    const sc_unsigned_subref &operator = (int64 a);
    const sc_unsigned_subref &operator = (double a);
    const sc_unsigned_subref &operator = (const sc_int_base &a);
    const sc_unsigned_subref &operator = (const sc_uint_base &a);

    // concatenation methods
    virtual void concat_set(int64 src, int low_i);
    virtual void concat_set(const sc_signed &src, int low_i);
    virtual void concat_set(const sc_unsigned &src, int low_i);
    virtual void concat_set(uint64 src, int low_i);

    // other methods
    void scan(::std::istream &is=::std::cin);

  protected:
    static sc_core::sc_vpool<sc_unsigned_subref> m_pool;
};

inline ::std::istream &operator >> (::std::istream &, sc_unsigned_subref &);


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned
//
//  Arbitrary precision unsigned number.
// ----------------------------------------------------------------------------

class sc_unsigned : public sc_value_base
{
    friend class sc_concatref;
    friend class sc_unsigned_bitref_r;
    friend class sc_unsigned_bitref;
    friend class sc_unsigned_subref_r;
    friend class sc_unsigned_subref;
    friend class sc_signed;
    friend class sc_signed_subref;
    friend class sc_signed_subref_r;

    // Needed for types using sc_unsigned.
    typedef bool elemtype;

    void invalid_init(const char *type_name, int nb) const;

  public:
    // constructors
    explicit sc_unsigned(int nb=sc_length_param().len());
    sc_unsigned(const sc_unsigned &v);
    sc_unsigned(const sc_signed &v);
    template<class T>
    explicit sc_unsigned(const sc_generic_base<T> &v);
    explicit sc_unsigned(const sc_bv_base &v);
    explicit sc_unsigned(const sc_lv_base &v);
    explicit sc_unsigned(const sc_int_subref_r &v);
    explicit sc_unsigned(const sc_uint_subref_r &v);
    explicit sc_unsigned(const sc_signed_subref_r &v);
    explicit sc_unsigned(const sc_unsigned_subref_r &v);

    // assignment operators
    const sc_unsigned &operator = (const sc_unsigned &v);
    const sc_unsigned &operator = (const sc_unsigned_subref_r &a);

    template<class T>
    const sc_unsigned &
    operator = (const sc_generic_base<T> &a)
    {
        a->to_sc_unsigned(*this);
        return *this;
    }

    const sc_unsigned &operator = (const sc_signed &v);
    const sc_unsigned &operator = (const sc_signed_subref_r &a);

    const sc_unsigned &operator = (const char *v);
    const sc_unsigned &operator = (int64 v);
    const sc_unsigned &operator = (uint64 v);
    const sc_unsigned &operator = (long v);
    const sc_unsigned &operator = (unsigned long v);

    const sc_unsigned &
    operator = (int v)
    {
        return operator = ((long)v);
    }

    const sc_unsigned &
    operator = (unsigned int v)
    {
        return operator = ((unsigned long)v);
    }

    const sc_unsigned &operator = (double v);
    const sc_unsigned &operator = (const sc_int_base &v);
    const sc_unsigned &operator = (const sc_uint_base &v);

    const sc_unsigned &operator = (const sc_bv_base &);
    const sc_unsigned &operator = (const sc_lv_base &);

    const sc_unsigned &operator = (const sc_fxval &);
    const sc_unsigned &operator = (const sc_fxval_fast &);
    const sc_unsigned &operator = (const sc_fxnum &);
    const sc_unsigned &operator = (const sc_fxnum_fast &);

    // destructor
    virtual ~sc_unsigned()
    {
#       ifndef SC_MAX_NBITS
            delete [] digit;
#       endif
    }

    // Concatenation support:
    sc_digit *get_raw() const { return digit; }
    virtual int
    concat_length(bool *xz_present_p) const
    {
        if (xz_present_p)
            *xz_present_p = false;
        return nbits - 1;
    }
    virtual bool concat_get_ctrl(sc_digit *dst_p, int low_i) const;
    virtual bool concat_get_data(sc_digit *dst_p, int low_i) const;
    virtual uint64 concat_get_uint64() const;
    virtual void concat_set(int64 src, int low_i);
    virtual void concat_set(const sc_signed &src, int low_i);
    virtual void concat_set(const sc_unsigned &src, int low_i);
    virtual void concat_set(uint64 src, int low_i);

    // Increment operators.
    sc_unsigned &operator ++ ();
    const sc_unsigned operator ++ (int);

    // Decrement operators.
    sc_unsigned &operator -- ();
    const sc_unsigned operator -- (int);

    // bit selection
    inline void
    check_index(int i) const
    {
        if ((i < 0) || (i >= nbits - 1))
            invalid_index(i);
    }

    void invalid_index(int i) const;

    sc_unsigned_bitref &
    operator [] (int i)
    {
        check_index(i);
        sc_unsigned_bitref *result_p = sc_unsigned_bitref::m_pool.allocate();
        result_p->initialize(this, i);
        return *result_p;
    }

    const sc_unsigned_bitref_r &
    operator [] (int i) const
    {
        check_index(i);
        sc_unsigned_bitref *result_p = sc_unsigned_bitref::m_pool.allocate();
        result_p->initialize(this, i);
        return *result_p;
    }

    sc_unsigned_bitref &
    bit(int i)
    {
        check_index(i);
        sc_unsigned_bitref *result_p = sc_unsigned_bitref::m_pool.allocate();
        result_p->initialize(this, i);
        return *result_p;
    }

    const sc_unsigned_bitref_r &
    bit(int i) const
    {
        check_index(i);
        sc_unsigned_bitref *result_p = sc_unsigned_bitref::m_pool.allocate();
        result_p->initialize(this, i);
        return *result_p;
    }

    // part selection

    // Subref operators. Help access the range of bits from the ith to
    // jth. These indices have arbitrary precedence with respect to each
    // other, i.e., we can have i <= j or i > j. Note the equivalence
    // between range(i, j) and operator (i, j). Also note that
    // operator (i, i) returns an unsigned number that corresponds to the
    // bit operator [i], so these two forms are not the same.
    inline void
    check_range(int l, int r) const
    {
        if (l < r) {
            if ((l < 0) || (r >= nbits - 1))
                invalid_range(l, r);
        } else {
            if ((r < 0) || (l >= nbits - 1))
                invalid_range(l, r);
        }
    }

    void invalid_range(int l, int r) const;

    sc_unsigned_subref &
    range(int i, int j)
    {
        check_range(i, j);
        sc_unsigned_subref *result_p = sc_unsigned_subref::m_pool.allocate();
        result_p->initialize(this, i, j);
        return *result_p;
    }

    const sc_unsigned_subref_r &
    range(int i, int j) const
    {
        check_range(i, j);
        sc_unsigned_subref *result_p = sc_unsigned_subref::m_pool.allocate();
        result_p->initialize(this, i, j);
        return *result_p;
    }

    sc_unsigned_subref &
    operator () (int i, int j)
    {
        check_range(i,j);
        sc_unsigned_subref *result_p = sc_unsigned_subref::m_pool.allocate();
        result_p->initialize(this, i, j);
        return *result_p;
    }

    const sc_unsigned_subref_r &
    operator () (int i, int j) const
    {
        check_range(i,j);
        sc_unsigned_subref *result_p = sc_unsigned_subref::m_pool.allocate();
        result_p->initialize(this, i, j);
        return *result_p;
    }

    // explicit conversions
    int to_int() const;
    unsigned int to_uint() const;
    long to_long() const;
    unsigned long to_ulong() const;
    int64 to_int64() const;
    uint64 to_uint64() const;
    double to_double() const;

    // explicit conversion to character string
    const std::string to_string(sc_numrep numrep=SC_DEC) const;
    const std::string to_string(sc_numrep numrep, bool w_prefix) const;

    // Print functions. dump prints the internals of the class.
    void
    print(::std::ostream &os=::std::cout) const
    {
        os << to_string(sc_io_base(os, SC_DEC), sc_io_show_base(os));
    }

    void scan(::std::istream &is=::std::cin);
    void dump(::std::ostream &os=::std::cout) const;

    // Functions to find various properties.
    int length() const { return nbits - 1; } // Bit width.
    bool iszero() const; // Is the number zero?
    bool sign() const { return 0; } // Sign.

    // reduce methods
    bool and_reduce() const;
    bool nand_reduce() const { return !and_reduce(); }
    bool or_reduce() const;
    bool nor_reduce() const { return !or_reduce(); }
    bool xor_reduce() const;
    bool xnor_reduce() const { return !xor_reduce(); }

    // Functions to access individual bits.
    bool test(int i) const; // Is the ith bit 0 or 1?
    void set(int i); // Set the ith bit to 1.
    void clear(int i); // Set the ith bit to 0.
    void
    set(int i, bool v) // Set the ith bit to v.
    {
        if (v)
            set(i);
        else
            clear(i);
    }
    void
    invert(int i)           // Negate the ith bit.
    {
        if (test(i))
            clear(i);
        else
            set(i);
    }

    // Make the number equal to its mirror image.
    void reverse();

    // Get/set a packed bit representation of the number.
    void get_packed_rep(sc_digit *buf) const;
    void set_packed_rep(sc_digit *buf);

    /*
      The comparison of the old and new semantics are as follows:

      Let s = sc_signed,
          u = sc_unsigned,
          un = { uint64, unsigned long, unsigned int },
          sn = { int64, long, int, char* }, and
          OP = { +, -, *, /, % }.

      Old semantics:                     New semantics:
        u OP u -> u                        u OP u -> u
        s OP u -> u                        s OP u -> s
        u OP s -> u                        u OP s -> s
        s OP s -> s                        s OP s -> s

        u OP un = un OP u -> u             u OP un = un OP u -> u
        u OP sn = sn OP u -> u             u OP sn = sn OP u -> s

        s OP un = un OP s -> s             s OP un = un OP s -> s
        s OP sn = sn OP s -> s             s OP sn = sn OP s -> s

      In the new semantics, the result is u if both operands are u; the
      result is s otherwise. The only exception is subtraction. The result
      of a subtraction is always s.

      The old semantics is like C/C++ semantics on integer types; the
      new semantics is due to the VSIA C/C++ data types standard.
    */

    // ARITHMETIC OPERATORS:

    // ADDition operators:
    friend sc_signed operator + (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator + (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator + (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator + (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator + (const sc_unsigned &u, uint64 v);
    friend sc_signed operator + (const sc_unsigned &u, long v);
    friend sc_unsigned operator + (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator + (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator + (const sc_unsigned &u, unsigned int v)
    {
        return operator + (u, (unsigned long)v);
    }

    friend sc_signed operator + (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator + (uint64 u, const sc_unsigned &v);
    friend sc_signed operator + (long u, const sc_unsigned &v);
    friend sc_unsigned operator + (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator + (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator + (unsigned int u, const sc_unsigned &v)
    {
        return operator + ((unsigned long)u, v);
    }

    const sc_unsigned &operator += (const sc_signed &v);
    const sc_unsigned &operator += (const sc_unsigned &v);
    const sc_unsigned &operator += (int64 v);
    const sc_unsigned &operator += (uint64 v);
    const sc_unsigned &operator += (long v);
    const sc_unsigned &operator += (unsigned long v);
    const sc_unsigned &
    operator += (int v)
    {
        return operator += ((long)v);
    }
    const sc_unsigned &
    operator += (unsigned int v)
    {
        return operator += ((unsigned long)v);
    }

    friend sc_unsigned operator + (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator + (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator + (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator + (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator += (const sc_int_base &v);
    const sc_unsigned &operator += (const sc_uint_base &v);

    // SUBtraction operators:
    friend sc_signed operator - (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator - (const sc_signed &u, const sc_unsigned &v);

    friend sc_signed operator - (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator - (const sc_unsigned &u, int64 v);
    friend sc_signed operator - (const sc_unsigned &u, uint64 v);
    friend sc_signed operator - (const sc_unsigned &u, long v);
    friend sc_signed operator - (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator - (const sc_unsigned &u, int v);
    friend sc_signed operator - (const sc_unsigned &u, unsigned int v);

    friend sc_signed operator - (int64 u, const sc_unsigned &v);
    friend sc_signed operator - (uint64 u, const sc_unsigned &v);
    friend sc_signed operator - (long u, const sc_unsigned &v);
    friend sc_signed operator - (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator - (int u, const sc_unsigned &v);
    friend sc_signed operator - (unsigned int u, const sc_unsigned &v);

    const sc_unsigned &operator -= (const sc_signed &v);
    const sc_unsigned &operator -= (const sc_unsigned &v);
    const sc_unsigned &operator -= (int64 v);
    const sc_unsigned &operator -= (uint64 v);
    const sc_unsigned &operator -= (long v);
    const sc_unsigned &operator -= (unsigned long v);
    const sc_unsigned &
    operator -= (int v)
    {
        return operator -= ((long)v);
    }
    const sc_unsigned &
    operator -= (unsigned int v)
    {
        return operator -= ((unsigned long)v);
    }

    friend sc_signed operator - (const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator - (const sc_unsigned &u, const sc_int_base &v);
    friend sc_signed operator - (const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator - (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator -= (const sc_int_base &v);
    const sc_unsigned &operator -= (const sc_uint_base &v);

    // MULtiplication operators:
    friend sc_signed operator * (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator * (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator * (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator * (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator * (const sc_unsigned &u, uint64 v);
    friend sc_signed operator * (const sc_unsigned &u, long v);
    friend sc_unsigned operator * (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator * (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator * (const sc_unsigned &u, unsigned int v)
    {
        return operator * (u, (unsigned long)v);
    }

    friend sc_signed operator * (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator * (uint64 u, const sc_unsigned &v);
    friend sc_signed operator * (long u, const sc_unsigned &v);
    friend sc_unsigned operator * (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator * (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator * (unsigned int u, const sc_unsigned &v)
    {
        return operator * ((unsigned long)u, v);
    }

    const sc_unsigned &operator *= (const sc_signed &v);
    const sc_unsigned &operator *= (const sc_unsigned &v);
    const sc_unsigned &operator *= (int64 v);
    const sc_unsigned &operator *= (uint64 v);
    const sc_unsigned &operator *= (long v);
    const sc_unsigned &operator *= (unsigned long v);
    const sc_unsigned &operator *= (int v) { return operator *= ((long)v); }
    const sc_unsigned &
    operator *= (unsigned int v)
    {
        return operator *= ((unsigned long)v);
    }

    friend sc_unsigned operator * (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator * (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator * (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator * (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator *= (const sc_int_base &v);
    const sc_unsigned &operator *= (const sc_uint_base &v);

    // DIVision operators:
    friend sc_signed operator / (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator / (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator / (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator / (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator / (const sc_unsigned &u, uint64 v);
    friend sc_signed operator / (const sc_unsigned &u, long v);
    friend sc_unsigned operator / (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator / (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator / (const sc_unsigned &u, unsigned int v)
    {
        return operator / (u, (unsigned long)v);
    }

    friend sc_signed operator / (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator / (uint64 u, const sc_unsigned &v);
    friend sc_signed operator / (long u, const sc_unsigned &v);
    friend sc_unsigned operator / (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator / (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator / (unsigned int u, const sc_unsigned &v)
    {
        return operator / ((unsigned long)u, v);
    }

    const sc_unsigned &operator /= (const sc_signed &v);
    const sc_unsigned &operator /= (const sc_unsigned &v);
    const sc_unsigned &operator /= (int64 v);
    const sc_unsigned &operator /= (uint64 v);
    const sc_unsigned &operator /= (long v);
    const sc_unsigned &operator /= (unsigned long v);
    const sc_unsigned &operator /= (int v) { return operator /= ((long)v); }
    const sc_unsigned &
    operator /= (unsigned int v)
    {
        return operator /= ((unsigned long)v);
    }

    friend sc_unsigned operator / (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator / (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator / (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator / (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator /= (const sc_int_base &v);
    const sc_unsigned &operator /= (const sc_uint_base &v);

    // MODulo operators:
    friend sc_signed operator % (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator % (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator % (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator % (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator % (const sc_unsigned &u, uint64 v);
    friend sc_signed operator % (const sc_unsigned &u, long v);
    friend sc_unsigned operator % (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator % (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator % (const sc_unsigned &u, unsigned int v)
    {
        return operator % (u, (unsigned long)v);
    }

    friend sc_signed operator % (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator % (uint64 u, const sc_unsigned &v);
    friend sc_signed operator % (long u, const sc_unsigned &v);
    friend sc_unsigned operator % (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator % (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator % (unsigned int u, const sc_unsigned &v)
    {
        return operator % ((unsigned long)u, v);
    }

    const sc_unsigned &operator %= (const sc_signed &v);
    const sc_unsigned &operator %= (const sc_unsigned &v);
    const sc_unsigned &operator %= (int64 v);
    const sc_unsigned &operator %= (uint64 v);
    const sc_unsigned &operator %= (long v);
    const sc_unsigned &operator %= (unsigned long v);
    const sc_unsigned &operator %= (int v) { return operator %= ((long)v); }
    const sc_unsigned &
    operator %= (unsigned int v)
    {
        return operator %= ((unsigned long)v);
    }

    friend sc_unsigned operator % (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator % (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator % (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator % (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator %= (const sc_int_base &v);
    const sc_unsigned &operator %= (const sc_uint_base &v);

    // BITWISE OPERATORS:

    // Bitwise AND operators:
    friend sc_signed operator & (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator & (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator & (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator & (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator & (const sc_unsigned &u, uint64 v);
    friend sc_signed operator & (const sc_unsigned &u, long v);
    friend sc_unsigned operator & (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator & (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator & (const sc_unsigned &u, unsigned int v)
    {
        return operator & (u, (unsigned long)v);
    }

    friend sc_signed operator & (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator & (uint64 u, const sc_unsigned &v);
    friend sc_signed operator & (long u, const sc_unsigned &v);
    friend sc_unsigned operator & (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator & (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator & (unsigned int u, const sc_unsigned &v)
    {
        return operator & ((unsigned long)u, v);
    }

    const sc_unsigned &operator &= (const sc_signed &v);
    const sc_unsigned &operator &= (const sc_unsigned &v);
    const sc_unsigned &operator &= (int64 v);
    const sc_unsigned &operator &= (uint64 v);
    const sc_unsigned &operator &= (long v);
    const sc_unsigned &operator &= (unsigned long v);
    const sc_unsigned &operator &= (int v) { return operator&=((long) v); }
    const sc_unsigned &
    operator &= (unsigned int v)
    {
        return operator &= ((unsigned long)v);
    }

    friend sc_unsigned operator & (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator & (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator & (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator & (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator &= (const sc_int_base &v);
    const sc_unsigned &operator &= (const sc_uint_base &v);

    // Bitwise OR operators:
    friend sc_signed operator | (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator | (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator | (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator | (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator | (const sc_unsigned &u, uint64 v);
    friend sc_signed operator | (const sc_unsigned &u, long v);
    friend sc_unsigned operator | (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator | (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator | (const sc_unsigned &u, unsigned int v)
    {
        return operator | (u, (unsigned long)v);
    }

    friend sc_signed operator | (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator | (uint64 u, const sc_unsigned &v);
    friend sc_signed operator | (long u, const sc_unsigned &v);
    friend sc_unsigned operator | (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator | (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator | (unsigned int u, const sc_unsigned &v)
    {
        return operator | ((unsigned long)u, v);
    }

    const sc_unsigned &operator |= (const sc_signed &v);
    const sc_unsigned &operator |= (const sc_unsigned &v);
    const sc_unsigned &operator |= (int64 v);
    const sc_unsigned &operator |= (uint64 v);
    const sc_unsigned &operator |= (long v);
    const sc_unsigned &operator |= (unsigned long v);
    const sc_unsigned &operator |= (int v) { return operator|=((long) v); }
    const sc_unsigned &
    operator |= (unsigned int v)
    {
        return operator |= ((unsigned long)v);
    }

    friend sc_unsigned operator | (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator | (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator | (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator | (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator |= (const sc_int_base &v);
    const sc_unsigned &operator |= (const sc_uint_base &v);

    // Bitwise XOR operators:
    friend sc_signed operator ^ (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator ^ (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator ^ (const sc_unsigned &u, const sc_unsigned &v);
    friend sc_signed operator ^ (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator ^ (const sc_unsigned &u, uint64 v);
    friend sc_signed operator ^ (const sc_unsigned &u, long v);
    friend sc_unsigned operator ^ (const sc_unsigned &u, unsigned long v);
    friend sc_signed operator ^ (const sc_unsigned &u, int v);
    friend sc_unsigned
    operator ^ (const sc_unsigned &u, unsigned int v)
    {
        return operator ^ (u, (unsigned long)v);
    }

    friend sc_signed operator ^ (int64 u, const sc_unsigned &v);
    friend sc_unsigned operator ^ (uint64 u, const sc_unsigned &v);
    friend sc_signed operator ^ (long u, const sc_unsigned &v);
    friend sc_unsigned operator ^ (unsigned long u, const sc_unsigned &v);
    friend sc_signed operator ^ (int u, const sc_unsigned &v);
    friend sc_unsigned
    operator ^ (unsigned int u, const sc_unsigned &v)
    {
        return operator ^ ((unsigned long)u, v);
    }

    const sc_unsigned &operator ^= (const sc_signed &v);
    const sc_unsigned &operator ^= (const sc_unsigned &v);
    const sc_unsigned &operator ^= (int64 v);
    const sc_unsigned &operator ^= (uint64 v);
    const sc_unsigned &operator ^= (long v);
    const sc_unsigned &operator ^= (unsigned long v);
    const sc_unsigned &
    operator ^= (int v)
    {
        return operator ^= ((long)v);
    }
    const sc_unsigned &
    operator ^= (unsigned int v)
    {
        return operator ^= ((unsigned long)v);
    }

    friend sc_unsigned operator ^ (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_signed operator ^ (const sc_unsigned &u, const sc_int_base &v);
    friend sc_unsigned operator ^ (
            const sc_uint_base &u, const sc_unsigned &v);
    friend sc_signed operator ^ (const sc_int_base &u, const sc_unsigned &v);
    const sc_unsigned &operator ^= (const sc_int_base &v);
    const sc_unsigned &operator ^= (const sc_uint_base &v);

    // SHIFT OPERATORS:

    // LEFT SHIFT operators:
    friend sc_unsigned operator << (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator << (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator << (
            const sc_unsigned &u, const sc_unsigned &v);
    friend sc_unsigned operator << (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator << (const sc_unsigned &u, uint64 v);
    friend sc_unsigned operator << (const sc_unsigned &u, long v);
    friend sc_unsigned operator << (const sc_unsigned &u, unsigned long v);
    friend sc_unsigned
    operator << (const sc_unsigned &u, int v)
    {
        return operator << (u, (long)v);
    }
    friend sc_unsigned
    operator << (const sc_unsigned &u, unsigned int v)
    {
        return operator << (u, (unsigned long)v);
    }

    const sc_unsigned &operator <<= (const sc_signed &v);
    const sc_unsigned &operator <<= (const sc_unsigned &v);
    const sc_unsigned &operator <<= (int64 v);
    const sc_unsigned &operator <<= (uint64 v);
    const sc_unsigned &operator <<= (long v);
    const sc_unsigned &operator <<= (unsigned long v);
    const sc_unsigned &operator <<= (int v) { return operator <<= ((long)v); }
    const sc_unsigned &
    operator <<= (unsigned int v)
    {
        return operator <<= ((unsigned long)v);
    }

    friend sc_unsigned operator << (
            const sc_unsigned &u, const sc_uint_base &v);
    friend sc_unsigned operator << (
            const sc_unsigned &u, const sc_int_base &v);
    const sc_unsigned &operator <<= (const sc_int_base &v);
    const sc_unsigned &operator <<= (const sc_uint_base &v);

    // RIGHT SHIFT operators:
    friend sc_unsigned operator >> (const sc_unsigned &u, const sc_signed &v);
    friend sc_signed operator >> (const sc_signed &u, const sc_unsigned &v);

    friend sc_unsigned operator >> (
            const sc_unsigned &u, const sc_unsigned &v);
    friend sc_unsigned operator >> (const sc_unsigned &u, int64 v);
    friend sc_unsigned operator >> (const sc_unsigned &u, uint64 v);
    friend sc_unsigned operator >> (const sc_unsigned &u, long v);
    friend sc_unsigned operator >> (const sc_unsigned &u, unsigned long v);
    friend sc_unsigned
    operator >> (const sc_unsigned &u, int v)
    {
        return operator >> (u, (long)v);
    }
    friend sc_unsigned
    operator >> (const sc_unsigned &u, unsigned int v)
    {
        return operator >> (u, (unsigned long)v);
    }

    const sc_unsigned &operator >>= (const sc_signed &v);
    const sc_unsigned &operator >>= (const sc_unsigned &v);
    const sc_unsigned &operator >>= (int64 v);
    const sc_unsigned &operator >>= (uint64 v);
    const sc_unsigned &operator >>= (long v);
    const sc_unsigned &operator >>= (unsigned long v);
    const sc_unsigned &operator >>= (int v) { return operator >>= ((long)v); }
    const sc_unsigned &
    operator >>= (unsigned int v)
    {
        return operator >>= ((unsigned long)v);
    }

    friend sc_unsigned operator >> (const sc_unsigned &, const sc_uint_base &);
    friend sc_unsigned operator >> (const sc_unsigned&, const sc_int_base &);
    const sc_unsigned &operator >>= (const sc_int_base &v);
    const sc_unsigned &operator >>= (const sc_uint_base &v);

    // Unary arithmetic operators
    friend sc_unsigned operator + (const sc_unsigned &u);
    friend sc_signed operator - (const sc_unsigned &u);

    // LOGICAL OPERATORS:

    // Logical EQUAL operators:
    friend bool operator == (const sc_unsigned &u, const sc_signed &v);
    friend bool operator == (const sc_signed &u, const sc_unsigned &v);

    friend bool operator == (const sc_unsigned &u, const sc_unsigned &v);
    friend bool operator == (const sc_unsigned &u, int64 v);
    friend bool operator == (const sc_unsigned &u, uint64 v);
    friend bool operator == (const sc_unsigned &u, long v);
    friend bool operator == (const sc_unsigned &u, unsigned long v);
    friend bool
    operator == (const sc_unsigned &u, int v)
    {
        return operator == (u, (long)v);
    }
    friend bool
    operator == (const sc_unsigned &u, unsigned int v)
    {
        return operator == (u, (unsigned long)v);
    }

    friend bool operator == (int64 u, const sc_unsigned &v);
    friend bool operator == (uint64 u, const sc_unsigned &v);
    friend bool operator == (long u, const sc_unsigned &v);
    friend bool operator == (unsigned long u, const sc_unsigned &v);
    friend bool
    operator == (int u, const sc_unsigned &v)
    {
        return operator == ((long)u, v);
    }
    friend bool
    operator == (unsigned int u, const sc_unsigned &v)
    {
        return operator == ((unsigned long)u, v);
    }

    friend bool operator == (const sc_unsigned &u, const sc_uint_base &v);
    friend bool operator == (const sc_unsigned &u, const sc_int_base &v);
    friend bool operator == (const sc_uint_base &u, const sc_unsigned &v);
    friend bool operator == (const sc_int_base &u, const sc_unsigned &v);

    // Logical NOT_EQUAL operators:
    friend bool operator != (const sc_unsigned &u, const sc_signed &v);
    friend bool operator != (const sc_signed &u, const sc_unsigned &v);

    friend bool operator != (const sc_unsigned &u, const sc_unsigned &v);
    friend bool operator != (const sc_unsigned &u, int64 v);
    friend bool operator != (const sc_unsigned &u, uint64 v);
    friend bool operator != (const sc_unsigned &u, long v);
    friend bool operator != (const sc_unsigned &u, unsigned long v);
    friend bool
    operator != (const sc_unsigned &u, int v)
    {
        return operator != (u, (long)v);
    }
    friend bool
    operator != (const sc_unsigned &u, unsigned int v)
    {
        return operator != (u, (unsigned long)v);
    }

    friend bool operator != (int64 u, const sc_unsigned &v);
    friend bool operator != (uint64 u, const sc_unsigned &v);
    friend bool operator != (long u, const sc_unsigned &v);
    friend bool operator != (unsigned long u, const sc_unsigned &v);
    friend bool
    operator != (int u, const sc_unsigned &v)
    {
        return operator != ((long)u, v);
    }
    friend bool
    operator != (unsigned int u, const sc_unsigned &v)
    {
        return operator != ((unsigned long)u, v);
    }

    friend bool operator != (const sc_unsigned &u, const sc_uint_base &v);
    friend bool operator != (const sc_unsigned &u, const sc_int_base &v);
    friend bool operator != (const sc_uint_base &u, const sc_unsigned &v);
    friend bool operator != (const sc_int_base &u, const sc_unsigned &v);

    // Logical LESS_THAN operators:
    friend bool operator < (const sc_unsigned &u, const sc_signed &v);
    friend bool operator < (const sc_signed &u, const sc_unsigned &v);

    friend bool operator < (const sc_unsigned &u, const sc_unsigned &v);
    friend bool operator < (const sc_unsigned &u, int64 v);
    friend bool operator < (const sc_unsigned &u, uint64 v);
    friend bool operator < (const sc_unsigned &u, long v);
    friend bool operator < (const sc_unsigned &u, unsigned long v);
    friend bool
    operator < (const sc_unsigned &u, int v)
    {
        return operator < (u, (long)v);
    }
    friend bool
    operator < (const sc_unsigned &u, unsigned int v)
    {
        return operator < (u, (unsigned long)v);
    }

    friend bool operator < (int64 u, const sc_unsigned &v);
    friend bool operator < (uint64 u, const sc_unsigned &v);
    friend bool operator < (long u, const sc_unsigned &v);
    friend bool operator < (unsigned long u, const sc_unsigned &v);
    friend bool
    operator < (int u, const sc_unsigned &v)
    {
        return operator < ((long)u, v);
    }
    friend bool
    operator < (unsigned int u, const sc_unsigned &v)
    {
        return operator < ((unsigned long)u, v);
    }

    friend bool operator < (const sc_unsigned &u, const sc_uint_base &v);
    friend bool operator < (const sc_unsigned &u, const sc_int_base &v);
    friend bool operator < (const sc_uint_base &u, const sc_unsigned &v);
    friend bool operator < (const sc_int_base &u, const sc_unsigned &v);

    // Logical LESS_THAN_AND_EQUAL operators:
    friend bool operator <= (const sc_unsigned &u, const sc_signed &v);
    friend bool operator <= (const sc_signed &u, const sc_unsigned &v);

    friend bool operator <= (const sc_unsigned &u, const sc_unsigned &v);
    friend bool operator <= (const sc_unsigned &u, int64 v);
    friend bool operator <= (const sc_unsigned &u, uint64 v);
    friend bool operator <= (const sc_unsigned &u, long v);
    friend bool operator <= (const sc_unsigned &u, unsigned long v);
    friend bool
    operator <= (const sc_unsigned &u, int v)
    {
        return operator <= (u, (long)v);
    }
    friend bool
    operator <= (const sc_unsigned &u, unsigned int v)
    {
        return operator <= (u, (unsigned long)v);
    }

    friend bool operator <= (int64 u, const sc_unsigned &v);
    friend bool operator <= (uint64 u, const sc_unsigned &v);
    friend bool operator <= (long u, const sc_unsigned &v);
    friend bool operator <= (unsigned long u, const sc_unsigned &v);
    friend bool
    operator <= (int u, const sc_unsigned &v)
    {
        return operator <= ((long)u, v);
    }
    friend bool
    operator <= (unsigned int u, const sc_unsigned &v)
    {
        return operator <= ((unsigned long)u, v);
    }

    friend bool operator <= (const sc_unsigned &u, const sc_uint_base &v);
    friend bool operator <= (const sc_unsigned &u, const sc_int_base &v);
    friend bool operator <= (const sc_uint_base &u, const sc_unsigned &v);
    friend bool operator <= (const sc_int_base &u, const sc_unsigned &v);

    // Logical GREATER_THAN operators:
    friend bool operator > (const sc_unsigned &u, const sc_signed &v);
    friend bool operator > (const sc_signed &u, const sc_unsigned &v);

    friend bool operator > (const sc_unsigned &u, const sc_unsigned &v);
    friend bool operator > (const sc_unsigned &u, int64 v);
    friend bool operator > (const sc_unsigned &u, uint64 v);
    friend bool operator > (const sc_unsigned &u, long v);
    friend bool operator > (const sc_unsigned &u, unsigned long v);
    friend bool
    operator > (const sc_unsigned &u, int v)
    {
        return operator > (u, (long)v);
    }
    friend bool
    operator > (const sc_unsigned &u, unsigned int v)
    {
        return operator > (u, (unsigned long)v);
    }

    friend bool operator > (int64 u, const sc_unsigned &v);
    friend bool operator > (uint64 u, const sc_unsigned &v);
    friend bool operator > (long u, const sc_unsigned &v);
    friend bool operator > (unsigned long u, const sc_unsigned &v);
    friend bool
    operator > (int u, const sc_unsigned &v)
    {
        return operator > ((long)u, v);
    }
    friend bool
    operator > (unsigned int u, const sc_unsigned &v)
    {
        return operator > ((unsigned long)u, v);
    }

    friend bool operator > (const sc_unsigned &u, const sc_uint_base &v);
    friend bool operator > (const sc_unsigned &u, const sc_int_base &v);
    friend bool operator > (const sc_uint_base &u, const sc_unsigned &v);
    friend bool operator > (const sc_int_base &u, const sc_unsigned &v);

    // Logical GREATER_THAN_AND_EQUAL operators:
    friend bool operator >= (const sc_unsigned &u, const sc_signed &v);
    friend bool operator >= (const sc_signed &u, const sc_unsigned &v);

    friend bool operator >= (const sc_unsigned &u, const sc_unsigned &v);
    friend bool operator >= (const sc_unsigned &u, int64 v);
    friend bool operator >= (const sc_unsigned &u, uint64 v);
    friend bool operator >= (const sc_unsigned &u, long v);
    friend bool operator >= (const sc_unsigned &u, unsigned long v);
    friend bool
    operator >= (const sc_unsigned &u, int v)
    {
        return operator >= (u, (long)v);
    }
    friend bool
    operator >= (const sc_unsigned &u, unsigned int v)
    {
        return operator >= (u, (unsigned long)v);
    }

    friend bool operator >= (int64 u, const sc_unsigned &v);
    friend bool operator >= (uint64 u, const sc_unsigned &v);
    friend bool operator >= (long u, const sc_unsigned &v);
    friend bool operator >= (unsigned long u, const sc_unsigned &v);
    friend bool
    operator >= (int u, const sc_unsigned &v)
    {
        return operator >= ((long)u, v);
    }
    friend bool
    operator >= (unsigned int u, const sc_unsigned &v)
    {
        return operator >= ((unsigned long)u, v);
    }

    friend bool operator >= (const sc_unsigned &u, const sc_uint_base &v);
    friend bool operator >= (const sc_unsigned &u, const sc_int_base &v);
    friend bool operator >= (const sc_uint_base &u, const sc_unsigned &v);
    friend bool operator >= (const sc_int_base &u, const sc_unsigned &v);

    // Bitwise NOT operator (unary).
    friend sc_unsigned operator ~ (const sc_unsigned &u);

    // Helper functions.
    friend int compare_unsigned(
            small_type us, int unb, int und, const sc_digit *ud,
            small_type vs, int vnb, int vnd, const sc_digit *vd,
            small_type if_u_signed, small_type if_v_signed);

    friend sc_unsigned add_unsigned_friend(
            small_type us, int unb, int und, const sc_digit *ud,
            small_type vs, int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned sub_unsigned_friend(
            small_type us, int unb, int und, const sc_digit *ud,
            small_type vs, int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned mul_unsigned_friend(
            small_type s, int unb, int und, const sc_digit *ud,
            int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned div_unsigned_friend(
            small_type s, int unb, int und, const sc_digit *ud,
            int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned mod_unsigned_friend(
            small_type us, int unb, int und, const sc_digit *ud,
            int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned and_unsigned_friend(
            small_type us, int unb, int und, const sc_digit *ud,
            small_type vs, int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned or_unsigned_friend(
            small_type us, int unb, int und, const sc_digit *ud,
            small_type vs, int vnb, int vnd, const sc_digit *vd);

    friend sc_unsigned xor_unsigned_friend(
            small_type us, int unb, int und, const sc_digit *ud,
            small_type vs, int vnb, int vnd, const sc_digit *vd);

  public:
    static sc_core::sc_vpool<sc_unsigned> m_pool;

  private:
    small_type sgn; // Shortened as s.
    int nbits; // Shortened as nb.
    int ndigits; // Shortened as nd.

#ifdef SC_MAX_NBITS
    sc_digit digit[DIV_CEIL(SC_MAX_NBITS)]; // Shortened as d.
#else
    sc_digit *digit; // Shortened as d.
#endif

    // Private constructors:

    // Create a copy of v with sign s.
    sc_unsigned(const sc_unsigned &v, small_type s);
    sc_unsigned(const sc_signed &v, small_type s);

    // Create an unsigned number with the given attributes.
    sc_unsigned(small_type s, int nb, int nd, sc_digit *d, bool alloc=true);

    // Create an unsigned number using the bits u[l..r].
    sc_unsigned(const sc_signed *u, int l, int r);
    sc_unsigned(const sc_unsigned *u, int l, int r);

    // Private member functions. The called functions are inline functions.

    small_type default_sign() const { return SC_POS; }

    int num_bits(int nb) const { return nb + 1; }

    bool check_if_outside(int bit_num) const;

    void
    copy_digits(int nb, int nd, const sc_digit *d)
    {
        copy_digits_unsigned(sgn, nbits, ndigits, digit, nb, nd, d);
    }

    void makezero() { sgn = make_zero(ndigits, digit); }

    // Conversion functions between 2's complement (2C) and
    // sign-magnitude (SM):
    void
    convert_2C_to_SM()
    {
        sgn = convert_unsigned_2C_to_SM(nbits, ndigits, digit);
    }

    void
    convert_SM_to_2C_to_SM()
    {
        sgn = convert_unsigned_SM_to_2C_to_SM(sgn, nbits, ndigits, digit);
    }

    void convert_SM_to_2C() { convert_unsigned_SM_to_2C(sgn, ndigits, digit); }
};

inline ::std::ostream &operator << (::std::ostream &, const sc_unsigned &);

inline ::std::istream &operator >> (::std::istream &, sc_unsigned &);


// IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_bitref_r
//
//  Proxy class for sc_unsigned bit selection (r-value only).
// ----------------------------------------------------------------------------


inline ::std::ostream &
operator << (::std::ostream &os, const sc_unsigned_bitref_r &a)
{
    a.print(os);
    return os;
}


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_bitref
//
//  Proxy class for sc_unsigned bit selection (r-value and l-value).
// ----------------------------------------------------------------------------

template<class T>
inline const sc_unsigned_subref &
sc_unsigned_subref::operator = (const sc_generic_base<T> &a)
{
    sc_unsigned temp(length());
    a->to_sc_unsigned(temp);
    return *this = temp;
}

inline ::std::istream &
operator >> (::std::istream &is, sc_unsigned_bitref &a)
{
    a.scan(is);
    return is;
}


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_subref_r
//
//  Proxy class for sc_unsigned part selection (r-value only).
// ----------------------------------------------------------------------------

// reduce methods

inline bool
sc_unsigned_subref_r::and_reduce() const
{
    const sc_unsigned *target_p = m_obj_p;
    for (int i = m_right; i <= m_left; i++)
        if (!target_p->test(i))
            return false;
    return true;
}

inline bool
sc_unsigned_subref_r::nand_reduce() const
{
    return !and_reduce();
}

inline bool
sc_unsigned_subref_r::or_reduce() const
{
    const sc_unsigned *target_p = m_obj_p;
    for (int i = m_right; i <= m_left; i++)
        if (target_p->test(i))
            return true;
    return false;
}

inline bool
sc_unsigned_subref_r::nor_reduce() const
{
    return !or_reduce();
}

inline bool
sc_unsigned_subref_r::xor_reduce() const
{
    int odd;
    const sc_unsigned *target_p = m_obj_p;
    odd = 0;
    for (int i = m_right; i <= m_left; i++)
        if (target_p->test(i)) odd = ~odd;
    return odd ? true : false;
}

inline bool sc_unsigned_subref_r::xnor_reduce() const { return !xor_reduce(); }

inline ::std::ostream &
operator << (::std::ostream &os, const sc_unsigned_subref_r &a)
{
    a.print(os);
    return os;
}


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned_subref
//
//  Proxy class for sc_unsigned part selection (r-value and l-value).
// ----------------------------------------------------------------------------

// assignment operators

inline const sc_unsigned_subref &
sc_unsigned_subref::operator = (const char *a)
{
    sc_unsigned aa(length());
    return (*this = aa = a);
}


inline ::std::istream &
operator >> (::std::istream &is, sc_unsigned_subref &a)
{
    a.scan(is);
    return is;
}


// ----------------------------------------------------------------------------
//  CLASS : sc_unsigned
//
//  Arbitrary precision signed number.
// ----------------------------------------------------------------------------

template<class T>
sc_unsigned::sc_unsigned( const sc_generic_base<T> &v)
{
    int nb = v->length();
    sgn = default_sign();
    if (nb > 0) {
        nbits = num_bits(nb);
    } else {
        invalid_init("sc_generic_base<T>", nb);
        sc_core::sc_abort(); // can't recover from here
    }
    ndigits = DIV_CEIL(nbits);
#   ifdef SC_MAX_NBITS
        test_bound(nb);
#   else
        digit = new sc_digit[ndigits];
#   endif
    makezero();
    v->to_sc_unsigned(*this);
}

inline ::std::ostream &
operator << (::std::ostream &os, const sc_unsigned &a)
{
    a.print(os);
    return os;
}

inline ::std::istream &
operator >> (::std::istream &is, sc_unsigned &a)
{
    a.scan(is);
    return is;
}

} // namespace sc_dt

#endif // __SYSTEMC_EXT_DT_INT_SC_UNSIGNED_HH__