// 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 #ifdef __GNUG__ #pragma once #pragma interface #endif #define _Fix24_h 1 #include #include // extra type definitions typedef struct { long u; unsigned long 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 unsigned long 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; long m; long assign(double d); 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); 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); friend Fix48 operator * (Fix24& f, Fix24& g); 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); }; // 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 #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(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&); #if defined(__OPTIMIZE__) || defined(USE_LIBGXX_INLINES) inline Fix24::~Fix24() {} inline Fix24::Fix24(long i) { m = i; } inline Fix24::Fix24(int i) { m = i; } inline 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 Fix48:: operator double() { /* * 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 * ((unsigned long)(m.u & 0xffffff00)) + Fix48_div_l * m.l) - 2; } 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); } #endif #endif