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//========================================================================
//
// FixedPoint.h
//
// Fixed point type, with C++ operators.
//
// Copyright 2004 Glyph & Cog, LLC
//
//========================================================================
#ifndef FIXEDPOINT_H
#define FIXEDPOINT_H
#include <aconf.h>
#if USE_FIXEDPOINT
#ifdef USE_GCC_PRAGMAS
#pragma interface
#endif
#include <stdio.h>
#include <stdlib.h>
#include "gtypes.h"
#define fixptShift 16
#define fixptMaskL ((1 << fixptShift) - 1)
#define fixptMaskH (~fixptMaskL)
typedef long long FixPtInt64;
class FixedPoint {
public:
FixedPoint() { val = 0; }
FixedPoint(const FixedPoint &x) { val = x.val; }
FixedPoint(double x) { val = (int)(x * (1 << fixptShift) + 0.5); }
FixedPoint(int x) { val = x << fixptShift; }
FixedPoint(Guint x) { val = x << fixptShift; }
FixedPoint(long x) { val = (int)x << fixptShift; }
operator float()
{ return (float) val * ((float)1 / (float)(1 << fixptShift)); }
operator double()
{ return (double) val * (1.0 / (double)(1 << fixptShift)); }
operator int()
{ return val >> fixptShift; }
int get16Dot16() { return val; }
FixedPoint operator =(FixedPoint x) { val = x.val; return *this; }
bool operator ==(FixedPoint x) const { return val == x.val; }
bool operator ==(double x) const { return *this == (FixedPoint)x; }
bool operator ==(int x) const { return *this == (FixedPoint)x; }
bool operator ==(Guint x) const { return *this == (FixedPoint)x; }
bool operator ==(long x) const { return *this == (FixedPoint)x; }
bool operator !=(FixedPoint x) const { return val != x.val; }
bool operator !=(double x) const { return *this != (FixedPoint)x; }
bool operator !=(int x) const { return *this != (FixedPoint)x; }
bool operator !=(Guint x) const { return *this != (FixedPoint)x; }
bool operator !=(long x) const { return *this != (FixedPoint)x; }
bool operator <(FixedPoint x) const { return val < x.val; }
bool operator <(double x) const { return *this < (FixedPoint)x; }
bool operator <(int x) const { return *this < (FixedPoint)x; }
bool operator <(Guint x) const { return *this < (FixedPoint)x; }
bool operator <(long x) const { return *this < (FixedPoint)x; }
bool operator <=(FixedPoint x) const { return val <= x.val; }
bool operator <=(double x) const { return *this <= (FixedPoint)x; }
bool operator <=(int x) const { return *this <= (FixedPoint)x; }
bool operator <=(Guint x) const { return *this <= (FixedPoint)x; }
bool operator <=(long x) const { return *this <= (FixedPoint)x; }
bool operator >(FixedPoint x) const { return val > x.val; }
bool operator >(double x) const { return *this > (FixedPoint)x; }
bool operator >(int x) const { return *this > (FixedPoint)x; }
bool operator >(Guint x) const { return *this > (FixedPoint)x; }
bool operator >(long x) const { return *this > (FixedPoint)x; }
bool operator >=(FixedPoint x) const { return val >= x.val; }
bool operator >=(double x) const { return *this >= (FixedPoint)x; }
bool operator >=(int x) const { return *this >= (FixedPoint)x; }
bool operator >=(Guint x) const { return *this >= (FixedPoint)x; }
bool operator >=(long x) const { return *this >= (FixedPoint)x; }
FixedPoint operator -() { return make(-val); }
FixedPoint operator +(FixedPoint x) { return make(val + x.val); }
FixedPoint operator +(double x) { return *this + (FixedPoint)x; }
FixedPoint operator +(int x) { return *this + (FixedPoint)x; }
FixedPoint operator +(Guint x) { return *this + (FixedPoint)x; }
FixedPoint operator +(long x) { return *this + (FixedPoint)x; }
FixedPoint operator +=(FixedPoint x) { val = val + x.val; return *this; }
FixedPoint operator +=(double x) { return *this += (FixedPoint)x; }
FixedPoint operator +=(int x) { return *this += (FixedPoint)x; }
FixedPoint operator +=(Guint x) { return *this += (FixedPoint)x; }
FixedPoint operator +=(long x) { return *this += (FixedPoint)x; }
FixedPoint operator -(FixedPoint x) { return make(val - x.val); }
FixedPoint operator -(double x) { return *this - (FixedPoint)x; }
FixedPoint operator -(int x) { return *this - (FixedPoint)x; }
FixedPoint operator -(Guint x) { return *this - (FixedPoint)x; }
FixedPoint operator -(long x) { return *this - (FixedPoint)x; }
FixedPoint operator -=(FixedPoint x) { val = val - x.val; return *this; }
FixedPoint operator -=(double x) { return *this -= (FixedPoint)x; }
FixedPoint operator -=(int x) { return *this -= (FixedPoint)x; }
FixedPoint operator -=(Guint x) { return *this -= (FixedPoint)x; }
FixedPoint operator -=(long x) { return *this -= (FixedPoint)x; }
FixedPoint operator *(FixedPoint x) { return make(mul(val, x.val)); }
FixedPoint operator *(double x) { return *this * (FixedPoint)x; }
FixedPoint operator *(int x) { return *this * (FixedPoint)x; }
FixedPoint operator *(Guint x) { return *this * (FixedPoint)x; }
FixedPoint operator *(long x) { return *this * (FixedPoint)x; }
FixedPoint operator *=(FixedPoint x) { val = mul(val, x.val); return *this; }
FixedPoint operator *=(double x) { return *this *= (FixedPoint)x; }
FixedPoint operator *=(int x) { return *this *= (FixedPoint)x; }
FixedPoint operator *=(Guint x) { return *this *= (FixedPoint)x; }
FixedPoint operator *=(long x) { return *this *= (FixedPoint)x; }
FixedPoint operator /(FixedPoint x) { return make(div(val, x.val)); }
FixedPoint operator /(double x) { return *this / (FixedPoint)x; }
FixedPoint operator /(int x) { return *this / (FixedPoint)x; }
FixedPoint operator /(Guint x) { return *this / (FixedPoint)x; }
FixedPoint operator /(long x) { return *this / (FixedPoint)x; }
FixedPoint operator /=(FixedPoint x) { val = div(val, x.val); return *this; }
FixedPoint operator /=(double x) { return *this /= (FixedPoint)x; }
FixedPoint operator /=(int x) { return *this /= (FixedPoint)x; }
FixedPoint operator /=(Guint x) { return *this /= (FixedPoint)x; }
FixedPoint operator /=(long x) { return *this /= (FixedPoint)x; }
static FixedPoint abs(FixedPoint x) { return make(::abs(x.val)); }
static int floor(FixedPoint x) { return x.val >> fixptShift; }
static int ceil(FixedPoint x)
{ return (x.val & fixptMaskL) ? ((x.val >> fixptShift) + 1)
: (x.val >> fixptShift); }
static int round(FixedPoint x)
{ return (x.val + (1 << (fixptShift - 1))) >> fixptShift; }
// Computes (x+y)/2 avoiding overflow and LSbit accuracy issues.
static FixedPoint avg(FixedPoint x, FixedPoint y)
{ return make((x.val >> 1) + (y.val >> 1) + ((x.val | y.val) & 1)); }
static FixedPoint sqrt(FixedPoint x);
static FixedPoint pow(FixedPoint x, FixedPoint y);
// Compute *result = x/y; return false if there is an underflow or
// overflow.
static GBool divCheck(FixedPoint x, FixedPoint y, FixedPoint *result);
// Compute abs(m11*m22 - m12*m21) >= epsilon, handling the case
// where the multiplications overflow.
static GBool checkDet(FixedPoint m11, FixedPoint m12,
FixedPoint m21, FixedPoint m22,
FixedPoint epsilon);
private:
static FixedPoint make(int valA) { FixedPoint x; x.val = valA; return x; }
static int mul(int x, int y);
static int div(int x, int y);
int val; // fixed point: (n-fixptShift).(fixptShift)
};
#endif // USE_FIXEDPOINT
#endif
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