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- //
- // Fix.h : variable length fixed point data type
- //
-
- #ifndef _Fix_h
- #ifdef __GNUG__
- #pragma once
- #pragma interface
- #endif
- #define _Fix_h 1
-
- #include <stream.h>
- #include <std.h>
- #include <stddef.h>
- #include <xinteger.h>
-
- typedef unsigned short uint16;
- typedef short int16;
- typedef unsigned long uint32;
- typedef long int32;
-
- #define _Fix_min_length 1
- #define _Fix_max_length 65535
-
- #define _Fix_min_value -1.0
- #define _Fix_max_value 1.0
-
- extern uint16 Fix_default_length;
- extern int Fix_default_print_width;
-
- struct _Frep // internal Fix representation
- {
- uint16 len; // length in bits
- uint16 siz; // allocated storage
- int16 ref; // reference count
- uint16 s[1]; // start of ushort array represention
- };
-
- typedef struct _Frep* _Fix;
-
- extern _Frep _Frep_0;
- extern _Frep _Frep_m1;
- extern _Frep _Frep_quotient_bump;
-
- class Fix
- {
- _Fix rep;
-
- Fix(_Fix);
-
- void unique();
-
- public:
- Fix();
- Fix(Fix&);
- Fix(double&);
- Fix(int);
- Fix(int, Fix&);
- Fix(int, double&);
- Fix(int, _Frep*);
-
- ~Fix();
-
- Fix operator = (Fix&);
- Fix operator = (double&);
-
- friend int operator == (Fix&, Fix& );
- friend int operator != (Fix&, Fix&);
-
- friend int operator < (Fix&, Fix&);
- friend int operator <= (Fix&, Fix&);
- friend int operator > (Fix&, Fix&);
- friend int operator >= (Fix&, Fix&);
-
- Fix& operator + ();
- Fix operator - ();
-
- friend Fix operator + (Fix&, Fix&);
- friend Fix operator - (Fix&, Fix&);
- friend Fix operator * (Fix&, Fix&);
- friend Fix operator / (Fix&, Fix&);
-
- friend Fix operator * (Fix&, int);
- friend Fix operator * (int, Fix&);
- friend Fix operator % (Fix&, int);
- friend Fix operator << (Fix&, int);
- friend Fix operator >> (Fix&, int);
-
- #ifdef __GNUG__
- friend Fix operator <? (Fix&, Fix&); // min
- friend Fix operator >? (Fix&, Fix&); // max
- #endif
-
- Fix operator += (Fix&);
- Fix operator -= (Fix&);
- Fix operator *= (Fix&);
- Fix operator /= (Fix&);
-
- Fix operator *= (int);
- Fix operator %= (int);
- Fix operator <<=(int);
- Fix operator >>=(int);
-
- friend char* Ftoa(Fix&, int width = Fix_default_print_width);
- friend Fix atoF(const char*, int len = Fix_default_length);
-
- friend istream& operator >> (istream&, Fix&);
- friend ostream& operator << (ostream&, Fix&);
-
- // built-in functions
- friend Fix abs(Fix); // absolute value
- friend int sgn(Fix&); // -1, 0, +1
- friend Integer mantissa(Fix&); // integer representation
- friend double value(Fix&); // double value
- friend int length(Fix&); // field length
- friend void show(Fix&); // show contents
-
- // error handlers
- void error(const char* msg); // error handler
- void range_error(const char* msg); // range error handler
-
- // internal class functions
- friend void mask(_Fix);
- friend int compare(_Fix, _Fix = &_Frep_0);
-
- friend _Fix new_Fix(uint16);
- friend _Fix new_Fix(uint16, _Fix);
- friend _Fix new_Fix(uint16, double);
-
- friend _Fix copy(_Fix, _Fix);
- friend _Fix negate(_Fix, _Fix = NULL);
- friend _Fix add(_Fix, _Fix, _Fix = NULL);
- friend _Fix subtract(_Fix, _Fix, _Fix = NULL);
- friend _Fix multiply(_Fix, _Fix, _Fix = NULL);
- friend _Fix multiply(_Fix, int, _Fix = NULL);
- friend _Fix divide(_Fix, _Fix, _Fix = NULL, _Fix = NULL);
- friend _Fix shift(_Fix, int, _Fix = NULL);
-
- // non-operator versions for user
- friend void negate(Fix& x, Fix& r);
- friend void add(Fix& x, Fix& y, Fix& r);
- friend void subtract(Fix& x, Fix& y, Fix& r);
- friend void multiply(Fix& x, Fix& y, Fix& r);
- friend void divide(Fix& x, Fix& y, Fix& q, Fix& r);
- friend void shift(Fix& x, int y, Fix& r);
- };
-
- // error handlers
-
- extern void
- default_Fix_error_handler(const char*),
- default_Fix_range_error_handler(const char*);
-
- extern one_arg_error_handler_t
- Fix_error_handler,
- Fix_range_error_handler;
-
- extern one_arg_error_handler_t
- set_Fix_error_handler(one_arg_error_handler_t f),
- set_Fix_range_error_handler(one_arg_error_handler_t f);
-
- typedef void (*Fix_peh)(_Fix&);
- extern Fix_peh Fix_overflow_handler;
-
- extern void
- Fix_overflow_saturate(_Fix&),
- Fix_overflow_wrap(_Fix&),
- Fix_overflow_warning_saturate(_Fix&),
- Fix_overflow_warning(_Fix&),
- Fix_overflow_error(_Fix&);
-
- extern Fix_peh set_overflow_handler(Fix_peh);
-
- extern int Fix_set_default_length(int);
-
- // function definitions
-
- #if defined(__OPTIMIZE__) || defined(USE_LIBGXX_INLINES)
-
- inline void Fix::unique()
- {
- if ( rep->ref > 1 )
- {
- rep->ref--;
- rep = new_Fix(rep->len,rep);
- }
- }
-
- inline void mask (_Fix x)
- {
- int n = x->len & 0x0f;
- if ( n )
- x->s[x->siz - 1] &= 0xffff0000 >> n;
- }
-
- inline _Fix copy(_Fix from, _Fix to)
- {
- uint16 *ts = to->s, *fs = from->s;
- int ilim = to->siz < from->siz ? to->siz : from->siz;
- for ( int i=0; i < ilim; i++ )
- *ts++ = *fs++;
- for ( ; i < to->siz; i++ )
- *ts++ = 0;
- mask(to);
- return to;
- }
-
- inline Fix::Fix(_Fix f)
- {
- rep = f;
- }
-
- inline Fix::Fix()
- {
- rep = new_Fix(Fix_default_length);
- }
-
- inline Fix::Fix(int len)
- {
- if ( len < _Fix_min_length || len > _Fix_max_length )
- error("illegal length in declaration");
- rep = new_Fix((uint16 )len);
- }
-
- inline Fix::Fix(double& d)
- {
- rep = new_Fix(Fix_default_length,d);
- }
-
- inline Fix::Fix(Fix& y)
- {
- rep = y.rep; rep->ref++;
- }
-
- inline Fix::Fix(int len, Fix& y)
- {
- if ( len < _Fix_min_length || len > _Fix_max_length )
- error("illegal length in declaration");
- rep = new_Fix((uint16 )len,y.rep);
- }
-
- inline Fix::Fix(int len, _Frep* fr)
- {
- if ( len < 1 || len > 65535 )
- error("illegal length in declaration");
- rep = new_Fix((uint16 )len,fr);
- }
-
- inline Fix::Fix(int len, double& d)
- {
- if ( len < _Fix_min_length || len > _Fix_max_length )
- error("illegal length in declaration");
- rep = new_Fix((uint16 )len,d);
- }
-
- inline Fix::~Fix()
- {
- if ( --rep->ref <= 0 ) delete rep;
- }
-
- inline Fix Fix::operator = (Fix& y)
- {
- if ( rep->len == y.rep->len ) {
- ++y.rep->ref;
- if ( --rep->ref <= 0 ) delete rep;
- rep = y.rep;
- }
- else {
- unique();
- copy(y.rep,rep);
- }
- return *this;
- }
-
- inline Fix Fix::operator = (double& d)
- {
- int oldlen = rep->len;
- if ( --rep->ref <= 0 ) delete rep;
- rep = new_Fix(oldlen,d);
- return *this;
- }
-
- inline int operator == (Fix& x, Fix& y)
- {
- return compare(x.rep, y.rep) == 0;
- }
-
- inline int operator != (Fix& x, Fix& y)
- {
- return compare(x.rep, y.rep) != 0;
- }
-
- inline int operator < (Fix& x, Fix& y)
- {
- return compare(x.rep, y.rep) < 0;
- }
-
- inline int operator <= (Fix& x, Fix& y)
- {
- return compare(x.rep, y.rep) <= 0;
- }
-
- inline int operator > (Fix& x, Fix& y)
- {
- return compare(x.rep, y.rep) > 0;
- }
-
- inline int operator >= (Fix& x, Fix& y)
- {
- return compare(x.rep, y.rep) >= 0;
- }
-
- inline Fix& Fix::operator + ()
- {
- return *this;
- }
-
- inline Fix Fix::operator - ()
- {
- _Fix r = negate(rep); return r;
- }
-
- inline Fix operator + (Fix& x, Fix& y)
- {
- _Fix r = add(x.rep, y.rep); return r;
- }
-
- inline Fix operator - (Fix& x, Fix& y)
- {
- _Fix r = subtract(x.rep, y.rep); return r;
- }
-
- inline Fix operator * (Fix& x, Fix& y)
- {
- _Fix r = multiply(x.rep, y.rep); return r;
- }
-
- inline Fix operator * (Fix& x, int y)
- {
- _Fix r = multiply(x.rep, y); return r;
- }
-
- inline Fix operator * (int y, Fix& x)
- {
- _Fix r = multiply(x.rep, y); return r;
- }
-
- inline Fix operator / (Fix& x, Fix& y)
- {
- _Fix r = divide(x.rep, y.rep); return r;
- }
-
- inline Fix Fix::operator += (Fix& y)
- {
- unique(); add(rep, y.rep, rep); return *this;
- }
-
- inline Fix Fix::operator -= (Fix& y)
- {
- unique(); subtract(rep, y.rep, rep); return *this;
- }
-
- inline Fix Fix::operator *= (Fix& y)
- {
- unique(); multiply(rep, y.rep, rep); return *this;
- }
-
- inline Fix Fix::operator *= (int y)
- {
- unique(); multiply(rep, y, rep); return *this;
- }
-
- inline Fix Fix::operator /= (Fix& y)
- {
- unique(); divide(rep, y.rep, rep); return *this;
- }
-
- inline Fix operator % (Fix& x, int y)
- {
- Fix r((int )x.rep->len + y, x); return r;
- }
-
- inline Fix operator << (Fix& x, int y)
- {
- _Fix rep = shift(x.rep, y); return rep;
- }
-
- inline Fix operator >> (Fix& x, int y)
- {
- _Fix rep = shift(x.rep, -y); return rep;
- }
-
- inline Fix Fix::operator <<= (int y)
- {
- unique(); shift(rep, y, rep); return *this;
- }
-
- inline Fix Fix::operator >>= (int y)
- {
- unique(); shift(rep, -y, rep); return *this;
- }
-
- #ifdef __GNUG__
- inline Fix operator <? (Fix& x, Fix& y)
- {
- if ( compare(x.rep, y.rep) <= 0 ) return x; else return y;
- }
-
- inline Fix operator >? (Fix& x, Fix& y)
- {
- if ( compare(x.rep, y.rep) >= 0 ) return x; else return y;
- }
- #endif
-
- inline Fix abs(Fix x)
- {
- _Fix r = (compare(x.rep) >= 0 ? new_Fix(x.rep->len,x.rep) : negate(x.rep));
- return r;
- }
-
- inline int sgn(Fix& x)
- {
- int a = compare(x.rep);
- return a == 0 ? 0 : (a > 0 ? 1 : -1);
- }
-
- inline int length(Fix& x)
- {
- return x.rep->len;
- }
-
- inline ostream& operator << (ostream& s, Fix& y)
- {
- return s << Ftoa(y);
- }
-
- inline void negate (Fix& x, Fix& r)
- {
- negate(x.rep, r.rep);
- }
-
- inline void add (Fix& x, Fix& y, Fix& r)
- {
- add(x.rep, y.rep, r.rep);
- }
-
- inline void subtract (Fix& x, Fix& y, Fix& r)
- {
- subtract(x.rep, y.rep, r.rep);
- }
-
- inline void multiply (Fix& x, Fix& y, Fix& r)
- {
- multiply(x.rep, y.rep, r.rep);
- }
-
- inline void divide (Fix& x, Fix& y, Fix& q, Fix& r)
- {
- divide(x.rep, y.rep, q.rep, r.rep);
- }
-
- inline void shift (Fix& x, int y, Fix& r)
- {
- shift(x.rep, y, r.rep);
- }
-
- #endif
- #endif
-