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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 _Fix24_h
#ifdef __GNUG__
#pragma interface
#endif
#define _Fix24_h 1
#include <stream.h>
#include <std.h>
// extra type definitions
typedef struct {
_G_int32_t u;
_G_uint32_t l;
} twolongs;
// constant definitions
static const int
Fix24_shift = 31;
static const double
Fix24_fs = 2147483648., // 2^Fix24_shift
Fix24_mult = Fix24_fs,
Fix24_div = 1./Fix24_fs,
Fix24_max = 1. - .5/Fix24_fs,
Fix24_min = -1.;
static const _G_uint32_t
Fix24_msb = 0x80000000L,
Fix24_lsb = 0x00000100L,
Fix24_m_max = 0x7fffff00L,
Fix24_m_min = 0x80000000L;
static const double
Fix48_fs = 36028797018963968., // 2^(24+Fix24_shift)
Fix48_max = 1. - .5/Fix48_fs,
Fix48_min = -1.,
Fix48_div_u = 1./Fix24_fs,
Fix48_div_l = 1./Fix48_fs;
static const twolongs
Fix48_msb = { 0x80000000L, 0L },
Fix48_lsb = { 0L, 0x00000100L },
Fix48_m_max = { 0x7fffff00L, 0xffffff00L },
Fix48_m_min = { 0x80000000L, 0L };
//
// Fix24 class: 24-bit Fixed point data type
//
// consists of a 24-bit mantissa (sign bit & 23 data bits).
//
class Fix24
{
friend class Fix48;
_G_int32_t m;
_G_int32_t assign(double d);
operator double() const;
Fix24(long i);
Fix24(int i);
public:
Fix24();
Fix24(const Fix24& f);
Fix24(double d);
Fix24(const Fix48& f);
~Fix24();
Fix24& operator=(const Fix24& f);
Fix24& operator=(double d);
Fix24& operator=(const Fix48& f);
friend _G_int32_t& mantissa(Fix24& f);
friend const _G_int32_t& mantissa(const Fix24& f);
friend double value(const Fix24& f);
Fix24 operator + () const;
Fix24 operator - () const;
friend Fix24 operator + (const Fix24& f, const Fix24& g);
friend Fix24 operator - (const Fix24& f, const Fix24& g);
friend Fix48 operator * (const Fix24& f, const Fix24& g);
friend Fix24 operator * (const Fix24& f, _G_int32_t g);
friend Fix24 operator * (_G_int32_t g, const Fix24& f);
friend Fix24 operator / (const Fix24& f, const Fix24& g);
friend Fix24 operator << (const Fix24& f, int b);
friend Fix24 operator >> (const Fix24& f, int b);
Fix24& operator += (const Fix24& f);
Fix24& operator -= (const Fix24& f);
Fix24& operator *= (const Fix24& f);
Fix24& operator *= (_G_int32_t b);
Fix24& operator /= (const Fix24& f);
Fix24& operator <<=(int b);
Fix24& operator >>=(int b);
friend int operator == (const Fix24& f, const Fix24& g);
friend int operator != (const Fix24& f, const Fix24& g);
friend int operator >= (const Fix24& f, const Fix24& g);
friend int operator <= (const Fix24& f, const Fix24& g);
friend int operator > (const Fix24& f, const Fix24& g);
friend int operator < (const Fix24& f, const Fix24& g);
friend istream& operator >> (istream& s, Fix24& f);
friend ostream& operator << (ostream& s, const Fix24& f);
void overflow(_G_int32_t&) const;
void range_error(_G_int32_t&) const;
};
//
// 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);
operator double() const;
Fix48(twolongs i);
public:
Fix48();
Fix48(const Fix48& f);
Fix48(const Fix24& f);
Fix48(double d);
~Fix48();
Fix48& operator = (const Fix48& f);
Fix48& operator = (const Fix24& f);
Fix48& operator = (double d);
friend twolongs& mantissa(Fix48& f);
friend const twolongs& mantissa(const Fix48& f);
friend double value(const Fix48& f);
Fix48 operator + () const;
Fix48 operator - () const;
friend Fix48 operator + (const Fix48& f, const Fix48& g);
friend Fix48 operator - (const Fix48& f, const Fix48& g);
friend Fix48 operator * (const Fix48& f, _G_int32_t g);
friend Fix48 operator * (int g, const Fix48& f);
friend Fix48 operator << (const Fix48& f, int b);
friend Fix48 operator >> (const Fix48& f, int b);
friend Fix48 operator * (const Fix24& f, const Fix24& g);
Fix48& operator += (const Fix48& f);
Fix48& operator -= (const Fix48& f);
Fix48& operator *= (_G_int32_t b);
Fix48& operator <<=(int b);
Fix48& operator >>=(int b);
friend int operator == (const Fix48& f, const Fix48& g);
friend int operator != (const Fix48& f, const Fix48& g);
friend int operator >= (const Fix48& f, const Fix48& g);
friend int operator <= (const Fix48& f, const Fix48& g);
friend int operator > (const Fix48& f, const Fix48& g);
friend int operator < (const Fix48& f, const Fix48& g);
friend istream& operator >> (istream& s, Fix48& f);
friend ostream& operator << (ostream& s, const Fix48& f);
void overflow(twolongs& i) const;
void range_error(twolongs& i) const;
};
// active error handler declarations
typedef void (*Fix24_peh)(_G_int32_t&);
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
#if defined(SHORT_NAMES) || defined(VMS)
#define set_overflow_handler sohndl
#define set_range_error_handler srnghdl
#endif
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);
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(_G_int32_t&),
Fix24_overflow_saturate(_G_int32_t&),
Fix24_overflow_warning_saturate(_G_int32_t&),
Fix24_warning(_G_int32_t&),
Fix24_abort(_G_int32_t&);
extern void
Fix48_ignore(twolongs&),
Fix48_overflow_saturate(twolongs&),
Fix48_overflow_warning_saturate(twolongs&),
Fix48_warning(twolongs&),
Fix48_abort(twolongs&);
inline Fix24::~Fix24() {}
inline Fix48::~Fix48() {}
inline Fix24::Fix24(long i)
{
m = i;
}
inline Fix24::Fix24(int i)
{
m = i;
}
inline Fix24::operator double() const
{
return Fix24_div * m;
}
inline Fix24::Fix24()
{
m = 0;
}
inline Fix24::Fix24(const Fix24& f)
{
m = f.m;
}
inline Fix24::Fix24(double d)
{
m = assign(d);
}
inline Fix24::Fix24(const Fix48& f)
{
m = f.m.u;
}
inline Fix24& Fix24::operator=(const Fix24& f)
{
m = f.m;
return *this;
}
inline Fix24& Fix24::operator=(double d)
{
m = assign(d);
return *this;
}
inline Fix24& Fix24::operator=(const Fix48& f)
{
m = f.m.u;
return *this;
}
inline _G_int32_t& mantissa(Fix24& f)
{
return f.m;
}
inline const _G_int32_t& mantissa(const Fix24& f)
{
return f.m;
}
inline double value(const Fix24& f)
{
return double(f);
}
inline Fix24 Fix24::operator+() const
{
return m;
}
inline Fix24 Fix24::operator-() const
{
return -m;
}
inline Fix24 operator+(const Fix24& f, const Fix24& g)
{
_G_int32_t sum = f.m + g.m;
if ( (f.m ^ sum) & (g.m ^ sum) & Fix24_msb )
f.overflow(sum);
return sum;
}
inline Fix24 operator-(const Fix24& f, const Fix24& g)
{
_G_int32_t sum = f.m - g.m;
if ( (f.m ^ sum) & (-g.m ^ sum) & Fix24_msb )
f.overflow(sum);
return sum;
}
inline Fix24 operator*(const Fix24& a, _G_int32_t b)
{
return a.m * b;
}
inline Fix24 operator*(int b, const Fix24& a)
{
return a * b;
}
inline Fix24 operator<<(const Fix24& a, int b)
{
return a.m << b;
}
inline Fix24 operator>>(const Fix24& a, int b)
{
return (a.m >> b) & ~0xff;
}
inline Fix24& Fix24:: operator+=(const Fix24& f)
{
return *this = *this + f;
}
inline Fix24& Fix24:: operator-=(const Fix24& f)
{
return *this = *this - f;
}
inline Fix24& Fix24::operator*=(const Fix24& f)
{
return *this = *this * f;
}
inline Fix24& Fix24:: operator/=(const 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*=(_G_int32_t b)
{
return *this = *this * b;
}
inline int operator==(const Fix24& f, const Fix24& g)
{
return f.m == g.m;
}
inline int operator!=(const Fix24& f, const Fix24& g)
{
return f.m != g.m;
}
inline int operator>=(const Fix24& f, const Fix24& g)
{
return f.m >= g.m;
}
inline int operator<=(const Fix24& f, const Fix24& g)
{
return f.m <= g.m;
}
inline int operator>(const Fix24& f, const Fix24& g)
{
return f.m > g.m;
}
inline int operator<(const Fix24& f, const 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, const Fix24& f)
{
return s << double(f);
}
inline Fix48::Fix48(twolongs i)
{
m = i;
}
inline Fix48:: operator double() const
{
/*
* Note: can't simply do Fix48_div_u * m.u + Fix48_div_l * m.l, because
* m.u is signed and m.l is unsigned.
*/
return (m.u >= 0)? Fix48_div_u * m.u + Fix48_div_l * m.l :
(Fix48_div_u * ((_G_uint32_t)(m.u & 0xffffff00))
+ Fix48_div_l * m.l) - 2;
}
inline Fix48::Fix48()
{
m.u = 0;
m.l = 0;
}
inline Fix48::Fix48(const Fix48& f)
{
m = f.m;
}
inline Fix48::Fix48(const Fix24& f)
{
m.u = f.m;
m.l = 0;
}
inline Fix48::Fix48(double d)
{
m = assign(d);
}
inline Fix48& Fix48::operator=(const Fix48& f)
{
m = f.m;
return *this;
}
inline Fix48& Fix48::operator=(const 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 const twolongs& mantissa(const Fix48& f)
{
return f.m;
}
inline double value(const Fix48& f)
{
return double(f);
}
inline Fix48 Fix48::operator+() const
{
return m;
}
inline Fix48 Fix48::operator-() const
{
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*(_G_int32_t b, const Fix48& a)
{
return a * b;
}
inline Fix48& Fix48::operator+=(const Fix48& f)
{
return *this = *this + f;
}
inline Fix48& Fix48::operator-=(const Fix48& f)
{
return *this = *this - f;
}
inline Fix48& Fix48::operator*=(_G_int32_t 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==(const Fix48& f, const Fix48& g)
{
return f.m.u == g.m.u && f.m.l == g.m.l;
}
inline int operator!=(const Fix48& f, const Fix48& g)
{
return f.m.u != g.m.u || f.m.l != g.m.l;
}
inline int operator>=(const Fix48& f, const Fix48& g)
{
return f.m.u >= g.m.u || (f.m.u == g.m.u && f.m.l >= g.m.l);
}
inline int operator<=(const Fix48& f, const Fix48& g)
{
return f.m.u <= g.m.u || (f.m.u == g.m.u && f.m.l <= g.m.l);
}
inline int operator>(const Fix48& f, const Fix48& g)
{
return f.m.u > g.m.u || (f.m.u == g.m.u && f.m.l > g.m.l);
}
inline int operator<(const Fix48& f, const 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, const Fix48& f)
{
return s << double(f);
}
#endif
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