649 lines
14 KiB
C
649 lines
14 KiB
C
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// This may look like C code, but it is really -*- C++ -*-
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/*
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Copyright (C) 1988 Free Software Foundation
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written by Kurt Baudendistel (gt-eedsp!baud@gatech.edu)
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adapted for libg++ by Doug Lea (dl@rocky.oswego.edu)
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This file is part of the GNU C++ Library. This library is free
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software; you can redistribute it and/or modify it under the terms of
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the GNU Library General Public License as published by the Free
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Software Foundation; either version 2 of the License, or (at your
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option) any later version. This library is distributed in the hope
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that it will be useful, but WITHOUT ANY WARRANTY; without even the
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implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the GNU Library General Public License for more details.
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You should have received a copy of the GNU Library General Public
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License along with this library; if not, write to the Free Software
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Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
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*/
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#ifndef _Fix16_h
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#ifdef __GNUG__
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#pragma interface
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#endif
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#define _Fix16_h 1
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#include <stream.h>
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#include <std.h>
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// constant definitions
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#define Fix16_fs ((double)((unsigned)(1 << 15)))
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#define Fix16_msb (1 << 15)
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#define Fix16_m_max ((1 << 15) - 1)
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#define Fix16_m_min ((short)(1 << 15))
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#define Fix16_mult Fix16_fs
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#define Fix16_div (1./Fix16_fs)
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#define Fix16_max (1. - .5/Fix16_fs)
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#define Fix16_min (-1.)
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#define Fix32_fs ((double)((unsigned long)(1 << 31)))
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#define Fix32_msb ((unsigned long)(1 << 31))
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#define Fix32_m_max ((long)((1 << 31) - 1))
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#define Fix32_m_min ((long)(1 << 31))
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#define Fix32_mult Fix32_fs
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#define Fix32_div (1./Fix32_fs)
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#define Fix32_max (1. - .5/Fix32_fs)
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#define Fix32_min (-1.)
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//
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// Fix16 class: 16-bit Fixed point data type
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//
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// consists of a 16-bit mantissa (sign bit & 15 data bits).
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//
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class Fix16
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{
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friend class Fix32;
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short m;
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short round(double d);
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short assign(double d);
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Fix16(short i);
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Fix16(int i);
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operator double() const;
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public:
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Fix16();
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Fix16(const Fix16& f);
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Fix16(double d);
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Fix16(const Fix32& f);
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~Fix16();
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Fix16& operator=(const Fix16& f);
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Fix16& operator=(double d);
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Fix16& operator=(const Fix32& f);
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friend short& mantissa(Fix16& f);
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friend const short& mantissa(const Fix16& f);
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friend double value(const Fix16& f);
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Fix16 operator + () const;
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Fix16 operator - () const;
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friend Fix16 operator + (const Fix16& f, const Fix16& g);
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friend Fix16 operator - (const Fix16& f, const Fix16& g);
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friend Fix32 operator * (const Fix16& f, const Fix16& g);
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friend Fix16 operator / (const Fix16& f, const Fix16& g);
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friend Fix16 operator << (const Fix16& f, int b);
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friend Fix16 operator >> (const Fix16& f, int b);
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Fix16& operator += (const Fix16& f);
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Fix16& operator -= (const Fix16& f);
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Fix16& operator *= (const Fix16& );
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Fix16& operator /= (const Fix16& f);
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Fix16& operator <<=(int b);
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Fix16& operator >>=(int b);
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friend int operator == (const Fix16& f, const Fix16& g);
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friend int operator != (const Fix16& f, const Fix16& g);
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friend int operator >= (const Fix16& f, const Fix16& g);
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friend int operator <= (const Fix16& f, const Fix16& g);
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friend int operator > (const Fix16& f, const Fix16& g);
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friend int operator < (const Fix16& f, const Fix16& g);
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friend istream& operator >> (istream& s, Fix16& f);
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friend ostream& operator << (ostream& s, const Fix16& f);
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void overflow(short&) const;
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void range_error(short&) const;
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friend Fix16 operator * (const Fix16& f, int g);
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friend Fix16 operator * (int g, const Fix16& f);
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Fix16& operator *= (int g);
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};
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//
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// Fix32 class: 32-bit Fixed point data type
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//
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// consists of a 32-bit mantissa (sign bit & 31 data bits).
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//
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class Fix32
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{
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friend class Fix16;
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long m;
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long round(double d);
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long assign(double d);
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Fix32(long i);
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operator double() const;
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public:
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Fix32();
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Fix32(const Fix32& f);
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Fix32(const Fix16& f);
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Fix32(double d);
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~Fix32();
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Fix32& operator = (const Fix32& f);
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Fix32& operator = (const Fix16& f);
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Fix32& operator = (double d);
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friend long& mantissa(Fix32& f);
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friend const long& mantissa(const Fix32& f);
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friend double value(const Fix32& f);
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Fix32 operator + () const;
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Fix32 operator - () const;
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friend Fix32 operator + (const Fix32& f, const Fix32& g);
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friend Fix32 operator - (const Fix32& f, const Fix32& g);
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friend Fix32 operator * (const Fix32& f, const Fix32& g);
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friend Fix32 operator / (const Fix32& f, const Fix32& g);
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friend Fix32 operator << (const Fix32& f, int b);
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friend Fix32 operator >> (const Fix32& f, int b);
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friend Fix32 operator * (const Fix16& f, const Fix16& g);
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Fix32& operator += (const Fix32& f);
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Fix32& operator -= (const Fix32& f);
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Fix32& operator *= (const Fix32& f);
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Fix32& operator /= (const Fix32& f);
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Fix32& operator <<=(int b);
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Fix32& operator >>=(int b);
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friend int operator == (const Fix32& f, const Fix32& g);
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friend int operator != (const Fix32& f, const Fix32& g);
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friend int operator >= (const Fix32& f, const Fix32& g);
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friend int operator <= (const Fix32& f, const Fix32& g);
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friend int operator > (const Fix32& f, const Fix32& g);
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friend int operator < (const Fix32& f, const Fix32& g);
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friend istream& operator >> (istream& s, Fix32& f);
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friend ostream& operator << (ostream& s, const Fix32& f);
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void overflow(long& i) const;
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void range_error(long& i) const;
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friend Fix32 operator * (const Fix32& f, int g);
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friend Fix32 operator * (int g, const Fix32& f);
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Fix32& operator *= (int g);
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};
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// active error handler declarations
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typedef void (*Fix16_peh)(short&);
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typedef void (*Fix32_peh)(long&);
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extern Fix16_peh Fix16_overflow_handler;
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extern Fix32_peh Fix32_overflow_handler;
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extern Fix16_peh Fix16_range_error_handler;
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extern Fix32_peh Fix32_range_error_handler;
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#if defined(SHORT_NAMES) || defined(VMS)
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#define set_overflow_handler sohndl
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#define set_range_error_handler srnghdl
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#endif
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// error handler declarations
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extern Fix16_peh set_Fix16_overflow_handler(Fix16_peh);
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extern Fix32_peh set_Fix32_overflow_handler(Fix32_peh);
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extern void set_overflow_handler(Fix16_peh, Fix32_peh);
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extern Fix16_peh set_Fix16_range_error_handler(Fix16_peh);
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extern Fix32_peh set_Fix32_range_error_handler(Fix32_peh);
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extern void set_range_error_handler(Fix16_peh, Fix32_peh);
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extern void
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Fix16_ignore(short&),
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Fix16_overflow_saturate(short&),
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Fix16_overflow_warning_saturate(short&),
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Fix16_warning(short&),
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Fix16_abort(short&);
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extern void
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Fix32_ignore(long&),
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Fix32_overflow_saturate(long&),
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Fix32_overflow_warning_saturate(long&),
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Fix32_warning(long&),
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Fix32_abort(long&);
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inline Fix16::~Fix16() {}
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inline short Fix16::round(double d)
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{
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return short( (d >= 0)? d + 0.5 : d - 0.5);
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}
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inline Fix16::Fix16(short i)
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{
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m = i;
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}
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inline Fix16::Fix16(int i)
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{
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m = i;
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}
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inline Fix16::operator double() const
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{
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return Fix16_div * m;
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}
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inline Fix16::Fix16()
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{
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m = 0;
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}
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inline Fix16::Fix16(const Fix16& f)
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{
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m = f.m;
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}
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inline Fix16::Fix16(double d)
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{
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m = assign(d);
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}
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inline Fix16& Fix16::operator=(const Fix16& f)
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{
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m = f.m;
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return *this;
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}
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inline Fix16& Fix16::operator=(double d)
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{
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m = assign(d);
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return *this;
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}
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inline Fix32::Fix32()
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{
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m = 0;
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}
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inline Fix32::Fix32(long i)
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{
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m = i;
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}
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inline Fix32:: operator double() const
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{
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return Fix32_div * m;
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}
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inline Fix32::Fix32(const Fix32& f)
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{
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m = f.m;
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}
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inline Fix32::Fix32(const Fix16& f)
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{
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m = long(f.m) << 16;
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}
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inline Fix32::Fix32(double d)
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{
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m = assign(d);
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}
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inline Fix16::Fix16(const Fix32& f)
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{
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m = f.m >> 16;
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}
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inline Fix16& Fix16::operator=(const Fix32& f)
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{
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m = f.m >> 16;
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return *this;
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}
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inline Fix32& Fix32::operator=(const Fix32& f)
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{
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m = f.m;
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return *this;
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}
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inline Fix32& Fix32::operator=(const Fix16& f)
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{
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m = long(f.m) << 16;
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return *this;
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}
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inline Fix32& Fix32::operator=(double d)
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{
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m = assign(d);
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return *this;
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}
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inline short& mantissa(Fix16& f)
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{
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return f.m;
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}
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inline const short& mantissa(const Fix16& f)
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{
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return f.m;
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}
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inline double value(const Fix16& f)
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{
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return double(f);
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}
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inline Fix16 Fix16::operator+() const
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{
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return m;
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}
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inline Fix16 Fix16::operator-() const
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{
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return -m;
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}
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inline Fix16 operator+(const Fix16& f, const Fix16& g)
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{
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short sum = f.m + g.m;
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if ( (f.m ^ sum) & (g.m ^ sum) & Fix16_msb )
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f.overflow(sum);
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return sum;
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}
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inline Fix16 operator-(const Fix16& f, const Fix16& g)
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{
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short sum = f.m - g.m;
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if ( (f.m ^ sum) & (-g.m ^ sum) & Fix16_msb )
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f.overflow(sum);
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return sum;
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}
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inline Fix32 operator*(const Fix16& f, const Fix16& g)
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{
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return Fix32( long( long(f.m) * long(g.m) << 1));
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}
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inline Fix16 operator<<(const Fix16& a, int b)
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{
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return a.m << b;
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}
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inline Fix16 operator>>(const Fix16& a, int b)
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|
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{
|
||
|
|
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 Fix32::~Fix32() {}
|
||
|
|
|
||
|
|
inline long Fix32::round(double d)
|
||
|
|
{
|
||
|
|
return long( (d >= 0)? d + 0.5 : d - 0.5);
|
||
|
|
}
|
||
|
|
|
||
|
|
inline long& mantissa(Fix32& f)
|
||
|
|
{
|
||
|
|
return f.m;
|
||
|
|
}
|
||
|
|
|
||
|
|
inline const long& 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)
|
||
|
|
{
|
||
|
|
long 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)
|
||
|
|
{
|
||
|
|
long 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(long(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
|