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fix24.h
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1993-07-23
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// This may look like C code, but it is really -*- C++ -*-
/*
Copyright (C) 1988 Free Software Foundation
written by Kurt Baudendistel (gt-eedsp!baud@gatech.edu)
adapted for libg++ by Doug Lea (dl@rocky.oswego.edu)
This file is part of GNU CC.
GNU CC is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY. No author or distributor
accepts responsibility to anyone for the consequences of using it
or for whether it serves any particular purpose or works at all,
unless he says so in writing. Refer to the GNU CC General Public
License for full details.
Everyone is granted permission to copy, modify and redistribute
GNU CC, but only under the conditions described in the
GNU CC General Public License. A copy of this license is
supposed to have been given to you along with GNU CC so you
can know your rights and responsibilities. It should be in a
file named COPYING. Among other things, the copyright notice
and this notice must be preserved on all copies.
*/
#ifndef _Fix24_h
#pragma once
#define _Fix24_h 1
#include <stream.h>
#include <std.h>
// extra type definitions
typedef struct {
long u;
unsigned long l;
} twolongs;
// constant definitions
extern const double
Fix24_fs,
Fix24_mult,
Fix24_div,
Fix24_max,
Fix24_min;
extern const unsigned long
Fix24_msb,
Fix24_lsb,
Fix24_m_max,
Fix24_m_min;
extern const double
Fix48_fs,
Fix48_max,
Fix48_min,
Fix48_div_u,
Fix48_div_l;
extern const twolongs
Fix48_msb,
Fix48_lsb,
Fix48_m_max,
Fix48_m_min;
//
// Fix24 class: 24-bit Fixed point data type
//
// consists of a 24-bit mantissa (sign bit & 23 data bits).
//
class Fix24
{
friend class Fix48;
long m;
long assign(double d);
double operator double();
Fix24(long i);
Fix24(int i);
public:
Fix24();
Fix24(Fix24& f);
Fix24(double d);
Fix24(Fix48& f);
~Fix24();
Fix24& operator=(Fix24& f);
Fix24& operator=(double d);
Fix24& operator=(Fix48& f);
friend long& mantissa(Fix24& f);
friend double value(Fix24& f);
Fix24 operator + ();
Fix24 operator - ();
friend Fix24 operator + (Fix24& f, Fix24& g);
friend Fix24 operator - (Fix24& f, Fix24& g);
friend Fix48 operator * (Fix24& f, Fix24& g);
friend Fix24 operator * (Fix24& f, int g);
friend Fix24 operator * (int g, Fix24& f);
friend Fix24 operator / (Fix24& f, Fix24& g);
friend Fix24 operator << (Fix24& f, int b);
friend Fix24 operator >> (Fix24& f, int b);
Fix24& operator += (Fix24& f);
Fix24& operator -= (Fix24& f);
Fix24& operator *= (Fix24& f);
Fix24& operator *= (int b);
Fix24& operator /= (Fix24& f);
Fix24& operator <<=(int b);
Fix24& operator >>=(int b);
friend int operator == (Fix24& f, Fix24& g);
friend int operator != (Fix24& f, Fix24& g);
friend int operator >= (Fix24& f, Fix24& g);
friend int operator <= (Fix24& f, Fix24& g);
friend int operator > (Fix24& f, Fix24& g);
friend int operator < (Fix24& f, Fix24& g);
friend istream& operator >> (istream& s, Fix24& f);
friend ostream& operator << (ostream& s, Fix24& f);
void overflow(long&);
void range_error(long&);
};
//
// Fix48 class: 48-bit Fixed point data type
//
// consists of a 48-bit mantissa (sign bit & 47 data bits).
//
class Fix48
{
friend class Fix24;
twolongs m;
twolongs assign(double d);
double operator double();
Fix48(twolongs i);
public:
Fix48();
Fix48(Fix48& f);
Fix48(Fix24& f);
Fix48(double d);
~Fix48();
Fix48& operator = (Fix48& f);
Fix48& operator = (Fix24& f);
Fix48& operator = (double d);
friend twolongs& mantissa(Fix48& f);
friend double value(Fix48& f);
Fix48 operator + ();
Fix48 operator - ();
friend Fix48 operator + (Fix48& f, Fix48& g);
friend Fix48 operator - (Fix48& f, Fix48& g);
friend Fix48 operator * (Fix48& f, int g);
friend Fix48 operator * (int g, Fix48& f);
friend Fix48 operator << (Fix48& f, int b);
friend Fix48 operator >> (Fix48& f, int b);
Fix48& operator += (Fix48& f);
Fix48& operator -= (Fix48& f);
Fix48& operator *= (int b);
Fix48& operator <<=(int b);
Fix48& operator >>=(int b);
friend int operator == (Fix48& f, Fix48& g);
friend int operator != (Fix48& f, Fix48& g);
friend int operator >= (Fix48& f, Fix48& g);
friend int operator <= (Fix48& f, Fix48& g);
friend int operator > (Fix48& f, Fix48& g);
friend int operator < (Fix48& f, Fix48& g);
friend istream& operator >> (istream& s, Fix48& f);
friend ostream& operator << (ostream& s, Fix48& f);
void overflow(twolongs& i);
void range_error(twolongs& i);
};
inline Fix24::~Fix24() {}
inline Fix24::Fix24(long i)
{
m = i;
}
inline Fix24::Fix24(int i)
{
m = i;
}
inline double Fix24::operator double()
{
return Fix24_div * m;
}
inline Fix24::Fix24()
{
m = 0;
}
inline Fix24::Fix24(Fix24& f)
{
m = f.m;
}
inline Fix24::Fix24(double d)
{
m = assign(d);
}
inline Fix24::Fix24(Fix48& f)
{
m = f.m.u;
}
inline Fix24& Fix24::operator=(Fix24& f)
{
m = f.m;
return *this;
}
inline Fix24& Fix24::operator=(double d)
{
m = assign(d);
return *this;
}
inline Fix24& Fix24::operator=(Fix48& f)
{
m = f.m.u;
return *this;
}
inline long& mantissa(Fix24& f)
{
return f.m;
}
inline double value(Fix24& f)
{
return double(f);
}
inline Fix24 Fix24::operator+()
{
return m;
}
inline Fix24 Fix24::operator-()
{
return -m;
}
inline Fix24 operator+(Fix24& f, Fix24& g)
{
long sum = f.m + g.m;
if ( (f.m ^ sum) & (g.m ^ sum) & Fix24_msb )
f.overflow(sum);
return sum;
}
inline Fix24 operator-(Fix24& f, Fix24& g)
{
long sum = f.m - g.m;
if ( (f.m ^ sum) & (-g.m ^ sum) & Fix24_msb )
f.overflow(sum);
return sum;
}
inline Fix24 operator*(Fix24& a, int b)
{
return a.m * b;
}
inline Fix24 operator*(int b, Fix24& a)
{
return a * b;
}
inline Fix24 operator<<(Fix24& a, int b)
{
return a.m << b;
}
inline Fix24 operator>>(Fix24& a, int b)
{
return (a.m >> b) & 0xffffff00L;
}
inline Fix24& Fix24:: operator+=(Fix24& f)
{
return *this = *this + f;
}
inline Fix24& Fix24:: operator-=(Fix24& f)
{
return *this = *this - f;
}
inline Fix24& Fix24::operator*=(Fix24& f)
{
return *this = *this * f;
}
inline Fix24& Fix24:: operator/=(Fix24& f)
{
return *this = *this / f;
}
inline Fix24& Fix24:: operator<<=(int b)
{
return *this = *this << b;
}
inline Fix24& Fix24:: operator>>=(int b)
{
return *this = *this >> b;
}
inline Fix24& Fix24::operator*=(int b)
{
return *this = *this * b;
}
inline int operator==(Fix24& f, Fix24& g)
{
return f.m == g.m;
}
inline int operator!=(Fix24& f, Fix24& g)
{
return f.m != g.m;
}
inline int operator>=(Fix24& f, Fix24& g)
{
return f.m >= g.m;
}
inline int operator<=(Fix24& f, Fix24& g)
{
return f.m <= g.m;
}
inline int operator>(Fix24& f, Fix24& g)
{
return f.m > g.m;
}
inline int operator<(Fix24& f, Fix24& g)
{
return f.m < g.m;
}
inline istream& operator>>(istream& s, Fix24& f)
{
double d;
s >> d;
f = d;
return s;
}
inline ostream& operator<<(ostream& s, Fix24& f)
{
return s << double(f);
}
inline Fix48::~Fix48() {}
inline Fix48::Fix48(twolongs i)
{
m = i;
}
inline double Fix48:: operator double()
{
return Fix48_div_u * m.u + Fix48_div_l * m.l;
}
inline Fix48::Fix48()
{
m.u = 0;
m.l = 0;
}
inline Fix48::Fix48(Fix48& f)
{
m = f.m;
}
inline Fix48::Fix48(Fix24& f)
{
m.u = f.m;
m.l = 0;
}
inline Fix48::Fix48(double d)
{
m = assign(d);
}
inline Fix48& Fix48::operator=(Fix48& f)
{
m = f.m;
return *this;
}
inline Fix48& Fix48::operator=(Fix24& f)
{
m.u = f.m;
m.l = 0;
return *this;
}
inline Fix48& Fix48::operator=(double d)
{
m = assign(d);
return *this;
}
inline twolongs& mantissa(Fix48& f)
{
return f.m;
}
inline double value(Fix48& f)
{
return double(f);
}
inline Fix48 Fix48::operator+()
{
return m;
}
inline Fix48 Fix48::operator-()
{
twolongs n;
n.l = -m.l;
n.u = ~m.u + ((n.l ^ m.l) & Fix24_msb ? 0 : Fix24_lsb);
return Fix48(n);
}
inline Fix48 operator*(int b, Fix48& a)
{
return a * b;
}
inline Fix48& Fix48::operator+=(Fix48& f)
{
return *this = *this + f;
}
inline Fix48& Fix48::operator-=(Fix48& f)
{
return *this = *this - f;
}
inline Fix48& Fix48::operator*=(int b)
{
return *this = *this * b;
}
inline Fix48& Fix48::operator<<=(int b)
{
return *this = *this << b;
}
inline Fix48& Fix48::operator>>=(int b)
{
return *this = *this >> b;
}
inline int operator==(Fix48& f, Fix48& g)
{
return f.m.u == g.m.u && f.m.l == g.m.l;
}
inline int operator!=(Fix48& f, Fix48& g)
{
return f.m.u != g.m.u || f.m.l != g.m.l;
}
inline int operator>=(Fix48& f, Fix48& g)
{
return f.m.u >= g.m.u || (f.m.u == g.m.u && f.m.l >= g.m.l);
}
inline int operator<=(Fix48& f, Fix48& g)
{
return f.m.u <= g.m.u || (f.m.u == g.m.u && f.m.l <= g.m.l);
}
inline int operator>(Fix48& f, Fix48& g)
{
return f.m.u > g.m.u || (f.m.u == g.m.u && f.m.l > g.m.l);
}
inline int operator<(Fix48& f, Fix48& g)
{
return f.m.u < g.m.u || (f.m.u == g.m.u && f.m.l < g.m.l);
}
inline istream& operator>>(istream& s, Fix48& f)
{
double d;
s >> d;
f = d;
return s;
}
inline ostream& operator<<(ostream& s, Fix48& f)
{
return s << double(f);
}
// active error handler declarations
typedef void (*Fix24_peh)(long&);
typedef void (*Fix48_peh)(twolongs&);
extern Fix24_peh Fix24_overflow_handler;
extern Fix48_peh Fix48_overflow_handler;
extern Fix24_peh Fix24_range_error_handler;
extern Fix48_peh Fix48_range_error_handler;
// error handler declarations
overload set_overflow_handler;
extern Fix24_peh set_Fix24_overflow_handler(Fix24_peh);
extern Fix48_peh set_Fix48_overflow_handler(Fix48_peh);
extern void set_overflow_handler(Fix24_peh, Fix48_peh);
overload set_range_error_handler;
extern Fix24_peh set_Fix24_range_error_handler(Fix24_peh);
extern Fix48_peh set_Fix48_range_error_handler(Fix48_peh);
extern void set_range_error_handler(Fix24_peh, Fix48_peh);
extern void
Fix24_ignore(long&),
Fix24_overflow_saturate(long&),
Fix24_overflow_warning_saturate(long&),
Fix24_warning(long&),
Fix24_abort(long&);
extern void
Fix48_ignore(twolongs&),
Fix48_overflow_saturate(twolongs&),
Fix48_overflow_warning_saturate(twolongs&),
Fix48_warning(twolongs&),
Fix48_abort(twolongs&);
#endif