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Fix16.h
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1995-06-16
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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 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, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#ifndef _Fix16_h
#ifdef __GNUG__
#pragma interface
#endif
#define _Fix16_h 1
#include <stream.h>
#include <std.h>
// constant definitions
#define Fix16_fs ((double)((unsigned)(1 << 15)))
#define Fix16_msb (1 << 15)
#define Fix16_m_max ((1 << 15) - 1)
#define Fix16_m_min ((short)(1 << 15))
#define Fix16_mult Fix16_fs
#define Fix16_div (1./Fix16_fs)
#define Fix16_max (1. - .5/Fix16_fs)
#define Fix16_min (-1.)
#define Fix32_fs ((double)((_G_uint32_t)(1 << 31)))
#define Fix32_msb ((_G_uint32_t)(1 << 31))
#define Fix32_m_max ((_G_int32_t)((1 << 31) - 1))
#define Fix32_m_min ((_G_int32_t)(1 << 31))
#define Fix32_mult Fix32_fs
#define Fix32_div (1./Fix32_fs)
#define Fix32_max (1. - .5/Fix32_fs)
#define Fix32_min (-1.)
//
// Fix16 class: 16-bit Fixed point data type
//
// consists of a 16-bit mantissa (sign bit & 15 data bits).
//
class Fix16
{
friend class Fix32;
short m;
short round(double d);
short assign(double d);
Fix16(short i);
Fix16(int i);
operator double() const;
public:
Fix16();
Fix16(const Fix16& f);
Fix16(double d);
Fix16(const Fix32& f);
~Fix16();
Fix16& operator=(const Fix16& f);
Fix16& operator=(double d);
Fix16& operator=(const Fix32& f);
friend short& mantissa(Fix16& f);
friend const short& mantissa(const Fix16& f);
friend double value(const Fix16& f);
Fix16 operator + () const;
Fix16 operator - () const;
friend Fix16 operator + (const Fix16& f, const Fix16& g);
friend Fix16 operator - (const Fix16& f, const Fix16& g);
friend Fix32 operator * (const Fix16& f, const Fix16& g);
friend Fix16 operator / (const Fix16& f, const Fix16& g);
friend Fix16 operator << (const Fix16& f, int b);
friend Fix16 operator >> (const Fix16& f, int b);
Fix16& operator += (const Fix16& f);
Fix16& operator -= (const Fix16& f);
Fix16& operator *= (const Fix16& );
Fix16& operator /= (const Fix16& f);
Fix16& operator <<=(int b);
Fix16& operator >>=(int b);
friend int operator == (const Fix16& f, const Fix16& g);
friend int operator != (const Fix16& f, const Fix16& g);
friend int operator >= (const Fix16& f, const Fix16& g);
friend int operator <= (const Fix16& f, const Fix16& g);
friend int operator > (const Fix16& f, const Fix16& g);
friend int operator < (const Fix16& f, const Fix16& g);
friend istream& operator >> (istream& s, Fix16& f);
friend ostream& operator << (ostream& s, const Fix16& f);
void overflow(short&) const;
void range_error(short&) const;
friend Fix16 operator * (const Fix16& f, int g);
friend Fix16 operator * (int g, const Fix16& f);
Fix16& operator *= (int g);
};
//
// Fix32 class: 32-bit Fixed point data type
//
// consists of a 32-bit mantissa (sign bit & 31 data bits).
//
class Fix32
{
friend class Fix16;
_G_int32_t m;
_G_int32_t round(double d);
_G_int32_t assign(double d);
Fix32(_G_int32_t i);
operator double() const;
public:
Fix32();
Fix32(const Fix32& f);
Fix32(const Fix16& f);
Fix32(double d);
~Fix32();
Fix32& operator = (const Fix32& f);
Fix32& operator = (const Fix16& f);
Fix32& operator = (double d);
friend _G_int32_t& mantissa(Fix32& f);
friend const _G_int32_t& mantissa(const Fix32& f);
friend double value(const Fix32& f);
Fix32 operator + () const;
Fix32 operator - () const;
friend Fix32 operator + (const Fix32& f, const Fix32& g);
friend Fix32 operator - (const Fix32& f, const Fix32& g);
friend Fix32 operator * (const Fix32& f, const Fix32& g);
friend Fix32 operator / (const Fix32& f, const Fix32& g);
friend Fix32 operator << (const Fix32& f, int b);
friend Fix32 operator >> (const Fix32& f, int b);
friend Fix32 operator * (const Fix16& f, const Fix16& g);
Fix32& operator += (const Fix32& f);
Fix32& operator -= (const Fix32& f);
Fix32& operator *= (const Fix32& f);
Fix32& operator /= (const Fix32& f);
Fix32& operator <<=(int b);
Fix32& operator >>=(int b);
friend int operator == (const Fix32& f, const Fix32& g);
friend int operator != (const Fix32& f, const Fix32& g);
friend int operator >= (const Fix32& f, const Fix32& g);
friend int operator <= (const Fix32& f, const Fix32& g);
friend int operator > (const Fix32& f, const Fix32& g);
friend int operator < (const Fix32& f, const Fix32& g);
friend istream& operator >> (istream& s, Fix32& f);
friend ostream& operator << (ostream& s, const Fix32& f);
void overflow(_G_int32_t& i) const;
void range_error(_G_int32_t& i) const;
friend Fix32 operator * (const Fix32& f, int g);
friend Fix32 operator * (int g, const Fix32& f);
Fix32& operator *= (int g);
};
// active error handler declarations
typedef void (*Fix16_peh)(short&);
typedef void (*Fix32_peh)(_G_int32_t&);
extern Fix16_peh Fix16_overflow_handler;
extern Fix32_peh Fix32_overflow_handler;
extern Fix16_peh Fix16_range_error_handler;
extern Fix32_peh Fix32_range_error_handler;
#if defined(SHORT_NAMES) || defined(VMS)
#define set_overflow_handler sohndl
#define set_range_error_handler srnghdl
#endif
// error handler declarations
extern Fix16_peh set_Fix16_overflow_handler(Fix16_peh);
extern Fix32_peh set_Fix32_overflow_handler(Fix32_peh);
extern void set_overflow_handler(Fix16_peh, Fix32_peh);
extern Fix16_peh set_Fix16_range_error_handler(Fix16_peh);
extern Fix32_peh set_Fix32_range_error_handler(Fix32_peh);
extern void set_range_error_handler(Fix16_peh, Fix32_peh);
extern void
Fix16_ignore(short&),
Fix16_overflow_saturate(short&),
Fix16_overflow_warning_saturate(short&),
Fix16_warning(short&),
Fix16_abort(short&);
extern void
Fix32_ignore(_G_int32_t&),
Fix32_overflow_saturate(_G_int32_t&),
Fix32_overflow_warning_saturate(_G_int32_t&),
Fix32_warning(_G_int32_t&),
Fix32_abort(_G_int32_t&);
inline Fix16::~Fix16() {}
inline Fix32::~Fix32() {}
inline short Fix16::round(double d)
{
return short( (d >= 0)? d + 0.5 : d - 0.5);
}
inline Fix16::Fix16(short i)
{
m = i;
}
inline Fix16::Fix16(int i)
{
m = i;
}
inline Fix16::operator double() const
{
return Fix16_div * m;
}
inline Fix16::Fix16()
{
m = 0;
}
inline Fix16::Fix16(const Fix16& f)
{
m = f.m;
}
inline Fix16::Fix16(double d)
{
m = assign(d);
}
inline Fix16& Fix16::operator=(const Fix16& f)
{
m = f.m;
return *this;
}
inline Fix16& Fix16::operator=(double d)
{
m = assign(d);
return *this;
}
inline Fix32::Fix32()
{
m = 0;
}
inline Fix32::Fix32(_G_int32_t i)
{
m = i;
}
inline Fix32:: operator double() const
{
return Fix32_div * m;
}
inline Fix32::Fix32(const Fix32& f)
{
m = f.m;
}
inline Fix32::Fix32(const Fix16& f)
{
m = _G_int32_t(f.m) << 16;
}
inline Fix32::Fix32(double d)
{
m = assign(d);
}
inline Fix16::Fix16(const Fix32& f)
{
m = f.m >> 16;
}
inline Fix16& Fix16::operator=(const Fix32& f)
{
m = f.m >> 16;
return *this;
}
inline Fix32& Fix32::operator=(const Fix32& f)
{
m = f.m;
return *this;
}
inline Fix32& Fix32::operator=(const Fix16& f)
{
m = _G_int32_t(f.m) << 16;
return *this;
}
inline Fix32& Fix32::operator=(double d)
{
m = assign(d);
return *this;
}
inline short& mantissa(Fix16& f)
{
return f.m;
}
inline const short& mantissa(const Fix16& f)
{
return f.m;
}
inline double value(const Fix16& f)
{
return double(f);
}
inline Fix16 Fix16::operator+() const
{
return m;
}
inline Fix16 Fix16::operator-() const
{
return -m;
}
inline Fix16 operator+(const Fix16& f, const Fix16& g)
{
short sum = f.m + g.m;
if ( (f.m ^ sum) & (g.m ^ sum) & Fix16_msb )
f.overflow(sum);
return sum;
}
inline Fix16 operator-(const Fix16& f, const Fix16& g)
{
short sum = f.m - g.m;
if ( (f.m ^ sum) & (-g.m ^ sum) & Fix16_msb )
f.overflow(sum);
return sum;
}
inline Fix32 operator*(const Fix16& f, const Fix16& g)
{
return Fix32( _G_int32_t( _G_int32_t(f.m) * _G_int32_t(g.m) << 1));
}
inline Fix16 operator<<(const Fix16& a, int b)
{
return a.m << b;
}
inline Fix16 operator>>(const Fix16& a, int b)
{
return a.m >> b;
}
inline Fix16& Fix16:: operator+=(const Fix16& f)
{
return *this = *this + f;
}
inline Fix16& Fix16:: operator-=(const Fix16& f)
{
return *this = *this - f;
}
inline Fix16& Fix16::operator*=(const Fix16& f)
{
return *this = *this * f;
}
inline Fix16& Fix16:: operator/=(const Fix16& f)
{
return *this = *this / f;
}
inline Fix16& Fix16:: operator<<=(int b)
{
return *this = *this << b;
}
inline Fix16& Fix16:: operator>>=(int b)
{
return *this = *this >> b;
}
inline int operator==(const Fix16& f, const Fix16& g)
{
return f.m == g.m;
}
inline int operator!=(const Fix16& f, const Fix16& g)
{
return f.m != g.m;
}
inline int operator>=(const Fix16& f, const Fix16& g)
{
return f.m >= g.m;
}
inline int operator<=(const Fix16& f, const Fix16& g)
{
return f.m <= g.m;
}
inline int operator>(const Fix16& f, const Fix16& g)
{
return f.m > g.m;
}
inline int operator<(const Fix16& f, const Fix16& g)
{
return f.m < g.m;
}
inline istream& operator>>(istream& s, Fix16& f)
{
double d;
s >> d;
f = d;
return s;
}
inline ostream& operator<<(ostream& s, const Fix16& f)
{
return s << double(f);
}
inline Fix16 operator*(const Fix16& f, int g)
{
return Fix16(short(f.m * g));
}
inline Fix16 operator*(int g, const Fix16& f)
{
return f * g;
}
inline Fix16& Fix16::operator*=(int g)
{
return *this = *this * g;
}
inline _G_int32_t Fix32::round(double d)
{
return _G_int32_t( (d >= 0)? d + 0.5 : d - 0.5);
}
inline _G_int32_t& mantissa(Fix32& f)
{
return f.m;
}
inline const _G_int32_t& mantissa(const Fix32& f)
{
return f.m;
}
inline double value(const Fix32& f)
{
return double(f);
}
inline Fix32 Fix32::operator+() const
{
return m;
}
inline Fix32 Fix32::operator-() const
{
return -m;
}
inline Fix32 operator+(const Fix32& f, const Fix32& g)
{
_G_int32_t sum = f.m + g.m;
if ( (f.m ^ sum) & (g.m ^ sum) & Fix32_msb )
f.overflow(sum);
return sum;
}
inline Fix32 operator-(const Fix32& f, const Fix32& g)
{
_G_int32_t sum = f.m - g.m;
if ( (f.m ^ sum) & (-g.m ^ sum) & Fix32_msb )
f.overflow(sum);
return sum;
}
inline Fix32 operator<<(const Fix32& a, int b)
{
return a.m << b;
}
inline Fix32 operator>>(const Fix32& a, int b)
{
return a.m >> b;
}
inline Fix32& Fix32::operator+=(const Fix32& f)
{
return *this = *this + f;
}
inline Fix32& Fix32::operator-=(const Fix32& f)
{
return *this = *this - f;
}
inline Fix32& Fix32::operator*=(const Fix32& f)
{
return *this = *this * f;
}
inline Fix32& Fix32::operator/=(const Fix32& f)
{
return *this = *this / f;
}
inline Fix32& Fix32::operator<<=(int b)
{
return *this = *this << b;
}
inline Fix32& Fix32::operator>>=(int b)
{
return *this = *this >> b;
}
inline int operator==(const Fix32& f, const Fix32& g)
{
return f.m == g.m;
}
inline int operator!=(const Fix32& f, const Fix32& g)
{
return f.m != g.m;
}
inline int operator>=(const Fix32& f, const Fix32& g)
{
return f.m >= g.m;
}
inline int operator<=(const Fix32& f, const Fix32& g)
{
return f.m <= g.m;
}
inline int operator>(const Fix32& f, const Fix32& g)
{
return f.m > g.m;
}
inline int operator<(const Fix32& f, const Fix32& g)
{
return f.m < g.m;
}
inline istream& operator>>(istream& s, Fix32& f)
{
double d;
s >> d;
f = d;
return s;
}
inline ostream& operator<<(ostream& s, const Fix32& f)
{
return s << double(f);
}
inline Fix32 operator*(const Fix32& f, int g)
{
return Fix32(_G_int32_t(f.m * g));
}
inline Fix32 operator*(int g, const Fix32& f)
{
return f * g;
}
inline Fix32& Fix32::operator*=(int g)
{
return *this = *this * g;
}
#endif