home
***
CD-ROM
|
disk
|
FTP
|
other
***
search
/
NeXTSTEP 3.2 (Developer)
/
NS_dev_3.2.iso
/
NextDeveloper
/
Headers
/
g++
/
Integer.h
< prev
next >
Wrap
C/C++ Source or Header
|
1993-06-29
|
27KB
|
1,117 lines
// This may look like C code, but it is really -*- C++ -*-
/*
Copyright (C) 1988 Free Software Foundation
written by Doug Lea (dl@rocky.oswego.edu)
This file is part of the GNU C++ Library. This library is free
software; you can redistribute it and/or modify it under the terms of
the GNU Library General Public License as published by the Free
Software Foundation; either version 2 of the License, or (at your
option) any later version. This library is distributed in the hope
that it will be useful, but WITHOUT ANY WARRANTY; without even the
implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the GNU Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with this library; if not, write to the Free Software
Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
*/
#ifndef _Integer_h
#ifdef __GNUG__
#pragma interface
#endif
#define _Integer_h 1
#include <stream.h>
struct IntRep // internal Integer representations
{
unsigned short len; // current length
unsigned short sz; // allocated space (0 means static).
short sgn; // 1 means >= 0; 0 means < 0
unsigned short s[1]; // represented as ushort array starting here
};
// True if REP is staticly (or manually) allocated,
// and should not be deleted by an Integer destructor.
#define STATIC_IntRep(rep) ((rep)->sz==0)
extern IntRep* Ialloc(IntRep*, const unsigned short *, int, int, int);
extern IntRep* Icalloc(IntRep*, int);
extern IntRep* Icopy_ulong(IntRep*, unsigned long);
extern IntRep* Icopy_long(IntRep*, long);
extern IntRep* Icopy(IntRep*, const IntRep*);
extern IntRep* Iresize(IntRep*, int);
extern IntRep* add(const IntRep*, int, const IntRep*, int, IntRep*);
extern IntRep* add(const IntRep*, int, long, IntRep*);
extern IntRep* multiply(const IntRep*, const IntRep*, IntRep*);
extern IntRep* multiply(const IntRep*, long, IntRep*);
extern IntRep* lshift(const IntRep*, long, IntRep*);
extern IntRep* lshift(const IntRep*, const IntRep*, int, IntRep*);
extern IntRep* bitop(const IntRep*, const IntRep*, IntRep*, char);
extern IntRep* bitop(const IntRep*, long, IntRep*, char);
extern IntRep* power(const IntRep*, long, IntRep*);
extern IntRep* div(const IntRep*, const IntRep*, IntRep*);
extern IntRep* mod(const IntRep*, const IntRep*, IntRep*);
extern IntRep* div(const IntRep*, long, IntRep*);
extern IntRep* mod(const IntRep*, long, IntRep*);
extern IntRep* compl(const IntRep*, IntRep*);
extern IntRep* abs(const IntRep*, IntRep*);
extern IntRep* negate(const IntRep*, IntRep*);
extern IntRep* pow(const IntRep*, long);
extern IntRep* gcd(const IntRep*, const IntRep* y);
extern int compare(const IntRep*, const IntRep*);
extern int compare(const IntRep*, long);
extern int ucompare(const IntRep*, const IntRep*);
extern int ucompare(const IntRep*, long);
extern char* Itoa(const IntRep* x, int base = 10, int width = 0);
extern char* cvtItoa(const IntRep* x, char* fmt, int& fmtlen, int base,
int showbase, int width, int align_right,
char fillchar, char Xcase, int showpos);
extern IntRep* atoIntRep(const char* s, int base = 10);
extern long Itolong(const IntRep*);
extern double Itodouble(const IntRep*);
extern int Iislong(const IntRep*);
extern int Iisdouble(const IntRep*);
extern long lg(const IntRep*);
extern IntRep _ZeroRep, _OneRep, _MinusOneRep;
class Integer
{
protected:
IntRep* rep;
public:
Integer();
Integer(long);
Integer(unsigned long);
Integer(IntRep*);
Integer(const Integer&);
~Integer();
void operator = (const Integer&);
void operator = (long);
// unary operations to self
void operator ++ ();
void operator -- ();
void negate(); // negate in-place
void abs(); // absolute-value in-place
void complement(); // bitwise complement in-place
// assignment-based operations
void operator += (const Integer&);
void operator -= (const Integer&);
void operator *= (const Integer&);
void operator /= (const Integer&);
void operator %= (const Integer&);
void operator <<=(const Integer&);
void operator >>=(const Integer&);
void operator &= (const Integer&);
void operator |= (const Integer&);
void operator ^= (const Integer&);
void operator += (long);
void operator -= (long);
void operator *= (long);
void operator /= (long);
void operator %= (long);
void operator <<=(long);
void operator >>=(long);
void operator &= (long);
void operator |= (long);
void operator ^= (long);
// (constructive binary operations are inlined below)
#ifdef __GNUG__
friend Integer operator <? (const Integer& x, const Integer& y); // min
friend Integer operator >? (const Integer& x, const Integer& y); // max
#endif
// builtin Integer functions that must be friends
friend long lg (const Integer&); // floor log base 2 of abs(x)
friend double ratio(const Integer& x, const Integer& y);
// return x/y as a double
friend Integer gcd(const Integer&, const Integer&);
friend int even(const Integer&); // true if even
friend int odd(const Integer&); // true if odd
friend int sign(const Integer&); // returns -1, 0, +1
friend void (setbit)(Integer& x, long b); // set b'th bit of x
friend void clearbit(Integer& x, long b); // clear b'th bit
friend int testbit(const Integer& x, long b); // return b'th bit
// procedural versions of operators
friend void abs(const Integer& x, Integer& dest);
friend void negate(const Integer& x, Integer& dest);
friend void complement(const Integer& x, Integer& dest);
friend int compare(const Integer&, const Integer&);
friend int ucompare(const Integer&, const Integer&);
friend void add(const Integer& x, const Integer& y, Integer& dest);
friend void sub(const Integer& x, const Integer& y, Integer& dest);
friend void mul(const Integer& x, const Integer& y, Integer& dest);
friend void div(const Integer& x, const Integer& y, Integer& dest);
friend void mod(const Integer& x, const Integer& y, Integer& dest);
friend void divide(const Integer& x, const Integer& y,
Integer& q, Integer& r);
friend void and(const Integer& x, const Integer& y, Integer& dest);
friend void or(const Integer& x, const Integer& y, Integer& dest);
friend void xor(const Integer& x, const Integer& y, Integer& dest);
friend void lshift(const Integer& x, const Integer& y, Integer& dest);
friend void rshift(const Integer& x, const Integer& y, Integer& dest);
friend void pow(const Integer& x, const Integer& y, Integer& dest);
friend int compare(const Integer&, long);
friend int ucompare(const Integer&, long);
friend void add(const Integer& x, long y, Integer& dest);
friend void sub(const Integer& x, long y, Integer& dest);
friend void mul(const Integer& x, long y, Integer& dest);
friend void div(const Integer& x, long y, Integer& dest);
friend void mod(const Integer& x, long y, Integer& dest);
friend void divide(const Integer& x, long y, Integer& q, long& r);
friend void and(const Integer& x, long y, Integer& dest);
friend void or(const Integer& x, long y, Integer& dest);
friend void xor(const Integer& x, long y, Integer& dest);
friend void lshift(const Integer& x, long y, Integer& dest);
friend void rshift(const Integer& x, long y, Integer& dest);
friend void pow(const Integer& x, long y, Integer& dest);
friend int compare(long, const Integer&);
friend int ucompare(long, const Integer&);
friend void add(long x, const Integer& y, Integer& dest);
friend void sub(long x, const Integer& y, Integer& dest);
friend void mul(long x, const Integer& y, Integer& dest);
friend void and(long x, const Integer& y, Integer& dest);
friend void or(long x, const Integer& y, Integer& dest);
friend void xor(long x, const Integer& y, Integer& dest);
// coercion & conversion
int fits_in_long() const;
int fits_in_double() const;
operator long() const;
operator double() const;
friend char* Itoa(const Integer& x, int base = 10, int width = 0);
friend Integer atoI(const char* s, int base = 10);
void printon(ostream& s, int base = 10, int width = 0) const;
friend istream& operator >> (istream& s, Integer& y);
friend ostream& operator << (ostream& s, const Integer& y);
// error detection
int initialized() const;
void error(const char* msg) const;
int OK() const;
};
// (These are declared inline)
int operator == (const Integer&, const Integer&);
int operator == (const Integer&, long);
int operator != (const Integer&, const Integer&);
int operator != (const Integer&, long);
int operator < (const Integer&, const Integer&);
int operator < (const Integer&, long);
int operator <= (const Integer&, const Integer&);
int operator <= (const Integer&, long);
int operator > (const Integer&, const Integer&);
int operator > (const Integer&, long);
int operator >= (const Integer&, const Integer&);
int operator >= (const Integer&, long);
Integer operator - (const Integer&);
Integer operator ~ (const Integer&);
Integer operator + (const Integer&, const Integer&);
Integer operator + (const Integer&, long);
Integer operator + (long, const Integer&);
Integer operator - (const Integer&, const Integer&);
Integer operator - (const Integer&, long);
Integer operator - (long, const Integer&);
Integer operator * (const Integer&, const Integer&);
Integer operator * (const Integer&, long);
Integer operator * (long, const Integer&);
Integer operator / (const Integer&, const Integer&);
Integer operator / (const Integer&, long);
Integer operator % (const Integer&, const Integer&);
Integer operator % (const Integer&, long);
Integer operator << (const Integer&, const Integer&);
Integer operator << (const Integer&, long);
Integer operator >> (const Integer&, const Integer&);
Integer operator >> (const Integer&, long);
Integer operator & (const Integer&, const Integer&);
Integer operator & (const Integer&, long);
Integer operator & (long, const Integer&);
Integer operator | (const Integer&, const Integer&);
Integer operator | (const Integer&, long);
Integer operator | (long, const Integer&);
Integer operator ^ (const Integer&, const Integer&);
Integer operator ^ (const Integer&, long);
Integer operator ^ (long, const Integer&);
Integer abs(const Integer&); // absolute value
Integer sqr(const Integer&); // square
Integer pow(const Integer& x, const Integer& y);
Integer pow(const Integer& x, long y);
Integer Ipow(long x, long y); // x to the y as Integer
extern char* dec(const Integer& x, int width = 0);
extern char* oct(const Integer& x, int width = 0);
extern char* hex(const Integer& x, int width = 0);
extern Integer sqrt(const Integer&); // floor of square root
extern Integer lcm(const Integer& x, const Integer& y); // least common mult
typedef Integer IntTmp; // for backward compatibility
inline Integer::Integer() :rep(&_ZeroRep) {}
inline Integer::Integer(IntRep* r) :rep(r) {}
inline Integer::Integer(long y) :rep(Icopy_long(0, y)) {}
inline Integer::Integer(unsigned long y) :rep(Icopy_ulong(0, y)) {}
inline Integer::Integer(const Integer& y) :rep(Icopy(0, y.rep)) {}
inline Integer::~Integer() { if (rep && !STATIC_IntRep(rep)) delete rep; }
inline void Integer::operator = (const Integer& y)
{
rep = Icopy(rep, y.rep);
}
inline void Integer::operator = (long y)
{
rep = Icopy_long(rep, y);
}
inline Integer::operator long() const
{
return Itolong(rep);
}
inline int Integer::initialized() const
{
return rep != 0;
}
inline int Integer::fits_in_long() const
{
return Iislong(rep);
}
inline Integer::operator double() const
{
return Itodouble(rep);
}
inline int Integer::fits_in_double() const
{
return Iisdouble(rep);
}
// procedural versions
inline int compare(const Integer& x, const Integer& y)
{
return compare(x.rep, y.rep);
}
inline int ucompare(const Integer& x, const Integer& y)
{
return ucompare(x.rep, y.rep);
}
inline int compare(const Integer& x, long y)
{
return compare(x.rep, y);
}
inline int ucompare(const Integer& x, long y)
{
return ucompare(x.rep, y);
}
inline int compare(long x, const Integer& y)
{
return -compare(y.rep, x);
}
inline int ucompare(long x, const Integer& y)
{
return -ucompare(y.rep, x);
}
inline void add(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = add(x.rep, 0, y.rep, 0, dest.rep);
}
inline void sub(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = add(x.rep, 0, y.rep, 1, dest.rep);
}
inline void mul(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = multiply(x.rep, y.rep, dest.rep);
}
inline void div(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = div(x.rep, y.rep, dest.rep);
}
inline void mod(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = mod(x.rep, y.rep, dest.rep);
}
inline void and(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = bitop(x.rep, y.rep, dest.rep, '&');
}
inline void or(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = bitop(x.rep, y.rep, dest.rep, '|');
}
inline void xor(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = bitop(x.rep, y.rep, dest.rep, '^');
}
inline void lshift(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = lshift(x.rep, y.rep, 0, dest.rep);
}
inline void rshift(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = lshift(x.rep, y.rep, 1, dest.rep);
}
inline void pow(const Integer& x, const Integer& y, Integer& dest)
{
dest.rep = power(x.rep, long(y), dest.rep); // not incorrect
}
inline void add(const Integer& x, long y, Integer& dest)
{
dest.rep = add(x.rep, 0, y, dest.rep);
}
inline void sub(const Integer& x, long y, Integer& dest)
{
dest.rep = add(x.rep, 0, -y, dest.rep);
}
inline void mul(const Integer& x, long y, Integer& dest)
{
dest.rep = multiply(x.rep, y, dest.rep);
}
inline void div(const Integer& x, long y, Integer& dest)
{
dest.rep = div(x.rep, y, dest.rep);
}
inline void mod(const Integer& x, long y, Integer& dest)
{
dest.rep = mod(x.rep, y, dest.rep);
}
inline void and(const Integer& x, long y, Integer& dest)
{
dest.rep = bitop(x.rep, y, dest.rep, '&');
}
inline void or(const Integer& x, long y, Integer& dest)
{
dest.rep = bitop(x.rep, y, dest.rep, '|');
}
inline void xor(const Integer& x, long y, Integer& dest)
{
dest.rep = bitop(x.rep, y, dest.rep, '^');
}
inline void lshift(const Integer& x, long y, Integer& dest)
{
dest.rep = lshift(x.rep, y, dest.rep);
}
inline void rshift(const Integer& x, long y, Integer& dest)
{
dest.rep = lshift(x.rep, -y, dest.rep);
}
inline void pow(const Integer& x, long y, Integer& dest)
{
dest.rep = power(x.rep, y, dest.rep);
}
inline void abs(const Integer& x, Integer& dest)
{
dest.rep = abs(x.rep, dest.rep);
}
inline void negate(const Integer& x, Integer& dest)
{
dest.rep = negate(x.rep, dest.rep);
}
inline void complement(const Integer& x, Integer& dest)
{
dest.rep = compl(x.rep, dest.rep);
}
inline void add(long x, const Integer& y, Integer& dest)
{
dest.rep = add(y.rep, 0, x, dest.rep);
}
inline void sub(long x, const Integer& y, Integer& dest)
{
dest.rep = add(y.rep, 1, x, dest.rep);
}
inline void mul(long x, const Integer& y, Integer& dest)
{
dest.rep = multiply(y.rep, x, dest.rep);
}
inline void and(long x, const Integer& y, Integer& dest)
{
dest.rep = bitop(y.rep, x, dest.rep, '&');
}
inline void or(long x, const Integer& y, Integer& dest)
{
dest.rep = bitop(y.rep, x, dest.rep, '|');
}
inline void xor(long x, const Integer& y, Integer& dest)
{
dest.rep = bitop(y.rep, x, dest.rep, '^');
}
// operator versions
inline int operator == (const Integer& x, const Integer& y)
{
return compare(x, y) == 0;
}
inline int operator == (const Integer& x, long y)
{
return compare(x, y) == 0;
}
inline int operator != (const Integer& x, const Integer& y)
{
return compare(x, y) != 0;
}
inline int operator != (const Integer& x, long y)
{
return compare(x, y) != 0;
}
inline int operator < (const Integer& x, const Integer& y)
{
return compare(x, y) < 0;
}
inline int operator < (const Integer& x, long y)
{
return compare(x, y) < 0;
}
inline int operator <= (const Integer& x, const Integer& y)
{
return compare(x, y) <= 0;
}
inline int operator <= (const Integer& x, long y)
{
return compare(x, y) <= 0;
}
inline int operator > (const Integer& x, const Integer& y)
{
return compare(x, y) > 0;
}
inline int operator > (const Integer& x, long y)
{
return compare(x, y) > 0;
}
inline int operator >= (const Integer& x, const Integer& y)
{
return compare(x, y) >= 0;
}
inline int operator >= (const Integer& x, long y)
{
return compare(x, y) >= 0;
}
inline void Integer::operator += (const Integer& y)
{
add(*this, y, *this);
}
inline void Integer::operator += (long y)
{
add(*this, y, *this);
}
inline void Integer::operator ++ ()
{
add(*this, 1, *this);
}
inline void Integer::operator -= (const Integer& y)
{
sub(*this, y, *this);
}
inline void Integer::operator -= (long y)
{
sub(*this, y, *this);
}
inline void Integer::operator -- ()
{
add(*this, -1, *this);
}
inline void Integer::operator *= (const Integer& y)
{
mul(*this, y, *this);
}
inline void Integer::operator *= (long y)
{
mul(*this, y, *this);
}
inline void Integer::operator &= (const Integer& y)
{
and(*this, y, *this);
}
inline void Integer::operator &= (long y)
{
and(*this, y, *this);
}
inline void Integer::operator |= (const Integer& y)
{
or(*this, y, *this);
}
inline void Integer::operator |= (long y)
{
or(*this, y, *this);
}
inline void Integer::operator ^= (const Integer& y)
{
xor(*this, y, *this);
}
inline void Integer::operator ^= (long y)
{
xor(*this, y, *this);
}
inline void Integer::operator /= (const Integer& y)
{
div(*this, y, *this);
}
inline void Integer::operator /= (long y)
{
div(*this, y, *this);
}
inline void Integer::operator %= (const Integer& y)
{
*this = *this % y; // mod(*this, y, *this) doesn't work.
}
inline void Integer::operator %= (long y)
{
*this = *this % y; // mod(*this, y, *this) doesn't work.
}
inline void Integer::operator <<= (const Integer& y)
{
lshift(*this, y, *this);
}
inline void Integer::operator <<= (long y)
{
lshift(*this, y, *this);
}
inline void Integer::operator >>= (const Integer& y)
{
rshift(*this, y, *this);
}
inline void Integer::operator >>= (long y)
{
rshift(*this, y, *this);
}
#ifdef __GNUG__
inline Integer operator <? (const Integer& x, const Integer& y)
{
return (compare(x.rep, y.rep) <= 0) ? x : y;
}
inline Integer operator >? (const Integer& x, const Integer& y)
{
return (compare(x.rep, y.rep) >= 0)? x : y;
}
#endif
inline void Integer::abs()
{
::abs(*this, *this);
}
inline void Integer::negate()
{
::negate(*this, *this);
}
inline void Integer::complement()
{
::complement(*this, *this);
}
inline int sign(const Integer& x)
{
return (x.rep->len == 0) ? 0 : ( (x.rep->sgn == 1) ? 1 : -1 );
}
inline int even(const Integer& y)
{
return y.rep->len == 0 || !(y.rep->s[0] & 1);
}
inline int odd(const Integer& y)
{
return y.rep->len > 0 && (y.rep->s[0] & 1);
}
inline char* Itoa(const Integer& y, int base, int width)
{
return Itoa(y.rep, base, width);
}
inline long lg(const Integer& x)
{
return lg(x.rep);
}
// constructive operations
#if defined(__GNUG__) && !defined(NO_NRV)
inline Integer operator + (const Integer& x, const Integer& y) return r
{
add(x, y, r);
}
inline Integer operator + (const Integer& x, long y) return r
{
add(x, y, r);
}
inline Integer operator + (long x, const Integer& y) return r
{
add(x, y, r);
}
inline Integer operator - (const Integer& x, const Integer& y) return r
{
sub(x, y, r);
}
inline Integer operator - (const Integer& x, long y) return r
{
sub(x, y, r);
}
inline Integer operator - (long x, const Integer& y) return r
{
sub(x, y, r);
}
inline Integer operator * (const Integer& x, const Integer& y) return r
{
mul(x, y, r);
}
inline Integer operator * (const Integer& x, long y) return r
{
mul(x, y, r);
}
inline Integer operator * (long x, const Integer& y) return r
{
mul(x, y, r);
}
inline Integer sqr(const Integer& x) return r
{
mul(x, x, r);
}
inline Integer operator & (const Integer& x, const Integer& y) return r
{
and(x, y, r);
}
inline Integer operator & (const Integer& x, long y) return r
{
and(x, y, r);
}
inline Integer operator & (long x, const Integer& y) return r
{
and(x, y, r);
}
inline Integer operator | (const Integer& x, const Integer& y) return r
{
or(x, y, r);
}
inline Integer operator | (const Integer& x, long y) return r
{
or(x, y, r);
}
inline Integer operator | (long x, const Integer& y) return r
{
or(x, y, r);
}
inline Integer operator ^ (const Integer& x, const Integer& y) return r
{
xor(x, y, r);
}
inline Integer operator ^ (const Integer& x, long y) return r
{
xor(x, y, r);
}
inline Integer operator ^ (long x, const Integer& y) return r
{
xor(x, y, r);
}
inline Integer operator / (const Integer& x, const Integer& y) return r
{
div(x, y, r);
}
inline Integer operator / (const Integer& x, long y) return r
{
div(x, y, r);
}
inline Integer operator % (const Integer& x, const Integer& y) return r
{
mod(x, y, r);
}
inline Integer operator % (const Integer& x, long y) return r
{
mod(x, y, r);
}
inline Integer operator << (const Integer& x, const Integer& y) return r
{
lshift(x, y, r);
}
inline Integer operator << (const Integer& x, long y) return r
{
lshift(x, y, r);
}
inline Integer operator >> (const Integer& x, const Integer& y) return r;
{
rshift(x, y, r);
}
inline Integer operator >> (const Integer& x, long y) return r
{
rshift(x, y, r);
}
inline Integer pow(const Integer& x, long y) return r
{
pow(x, y, r);
}
inline Integer Ipow(long x, long y) return r(x)
{
pow(r, y, r);
}
inline Integer pow(const Integer& x, const Integer& y) return r
{
pow(x, y, r);
}
inline Integer abs(const Integer& x) return r
{
abs(x, r);
}
inline Integer operator - (const Integer& x) return r
{
negate(x, r);
}
inline Integer operator ~ (const Integer& x) return r
{
complement(x, r);
}
inline Integer atoI(const char* s, int base) return r
{
r.rep = atoIntRep(s, base);
}
inline Integer gcd(const Integer& x, const Integer& y) return r
{
r.rep = gcd(x.rep, y.rep);
}
#else /* NO_NRV */
inline Integer operator + (const Integer& x, const Integer& y)
{
Integer r; add(x, y, r); return r;
}
inline Integer operator + (const Integer& x, long y)
{
Integer r; add(x, y, r); return r;
}
inline Integer operator + (long x, const Integer& y)
{
Integer r; add(x, y, r); return r;
}
inline Integer operator - (const Integer& x, const Integer& y)
{
Integer r; sub(x, y, r); return r;
}
inline Integer operator - (const Integer& x, long y)
{
Integer r; sub(x, y, r); return r;
}
inline Integer operator - (long x, const Integer& y)
{
Integer r; sub(x, y, r); return r;
}
inline Integer operator * (const Integer& x, const Integer& y)
{
Integer r; mul(x, y, r); return r;
}
inline Integer operator * (const Integer& x, long y)
{
Integer r; mul(x, y, r); return r;
}
inline Integer operator * (long x, const Integer& y)
{
Integer r; mul(x, y, r); return r;
}
inline Integer sqr(const Integer& x)
{
Integer r; mul(x, x, r); return r;
}
inline Integer operator & (const Integer& x, const Integer& y)
{
Integer r; and(x, y, r); return r;
}
inline Integer operator & (const Integer& x, long y)
{
Integer r; and(x, y, r); return r;
}
inline Integer operator & (long x, const Integer& y)
{
Integer r; and(x, y, r); return r;
}
inline Integer operator | (const Integer& x, const Integer& y)
{
Integer r; or(x, y, r); return r;
}
inline Integer operator | (const Integer& x, long y)
{
Integer r; or(x, y, r); return r;
}
inline Integer operator | (long x, const Integer& y)
{
Integer r; or(x, y, r); return r;
}
inline Integer operator ^ (const Integer& x, const Integer& y)
{
Integer r; xor(x, y, r); return r;
}
inline Integer operator ^ (const Integer& x, long y)
{
Integer r; xor(x, y, r); return r;
}
inline Integer operator ^ (long x, const Integer& y)
{
Integer r; xor(x, y, r); return r;
}
inline Integer operator / (const Integer& x, const Integer& y)
{
Integer r; div(x, y, r); return r;
}
inline Integer operator / (const Integer& x, long y)
{
Integer r; div(x, y, r); return r;
}
inline Integer operator % (const Integer& x, const Integer& y)
{
Integer r; mod(x, y, r); return r;
}
inline Integer operator % (const Integer& x, long y)
{
Integer r; mod(x, y, r); return r;
}
inline Integer operator << (const Integer& x, const Integer& y)
{
Integer r; lshift(x, y, r); return r;
}
inline Integer operator << (const Integer& x, long y)
{
Integer r; lshift(x, y, r); return r;
}
inline Integer operator >> (const Integer& x, const Integer& y)
{
Integer r; rshift(x, y, r); return r;
}
inline Integer operator >> (const Integer& x, long y)
{
Integer r; rshift(x, y, r); return r;
}
inline Integer pow(const Integer& x, long y)
{
Integer r; pow(x, y, r); return r;
}
inline Integer Ipow(long x, long y)
{
Integer r(x); pow(r, y, r); return r;
}
inline Integer pow(const Integer& x, const Integer& y)
{
Integer r; pow(x, y, r); return r;
}
inline Integer abs(const Integer& x)
{
Integer r; abs(x, r); return r;
}
inline Integer operator - (const Integer& x)
{
Integer r; negate(x, r); return r;
}
inline Integer operator ~ (const Integer& x)
{
Integer r; complement(x, r); return r;
}
inline Integer atoI(const char* s, int base)
{
Integer r; r.rep = atoIntRep(s, base); return r;
}
inline Integer gcd(const Integer& x, const Integer& y)
{
Integer r; r.rep = gcd(x.rep, y.rep); return r;
}
#endif /* NO_NRV */
#endif /* !_Integer_h */