//======================================================================== // // FixedPoint.h // // Fixed point type, with C++ operators. // // Copyright 2004 Glyph & Cog, LLC // //======================================================================== #ifndef FIXEDPOINT_H #define FIXEDPOINT_H #include #if USE_FIXEDPOINT #ifdef USE_GCC_PRAGMAS #pragma interface #endif #include #include #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(long x) { val = 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 getRaw() { return val; } FixedPoint operator =(FixedPoint x) { val = x.val; return *this; } int operator ==(FixedPoint x) { return val == x.val; } int operator ==(double x) { return *this == (FixedPoint)x; } int operator ==(int x) { return *this == (FixedPoint)x; } int operator ==(long x) { return *this == (FixedPoint)x; } int operator !=(FixedPoint x) { return val != x.val; } int operator !=(double x) { return *this != (FixedPoint)x; } int operator !=(int x) { return *this != (FixedPoint)x; } int operator !=(long x) { return *this != (FixedPoint)x; } int operator <(FixedPoint x) { return val < x.val; } int operator <(double x) { return *this < (FixedPoint)x; } int operator <(int x) { return *this < (FixedPoint)x; } int operator <(long x) { return *this < (FixedPoint)x; } int operator <=(FixedPoint x) { return val <= x.val; } int operator <=(double x) { return *this <= (FixedPoint)x; } int operator <=(int x) { return *this <= (FixedPoint)x; } int operator <=(long x) { return *this <= (FixedPoint)x; } int operator >(FixedPoint x) { return val > x.val; } int operator >(double x) { return *this > (FixedPoint)x; } int operator >(int x) { return *this > (FixedPoint)x; } int operator >(long x) { return *this > (FixedPoint)x; } int operator >=(FixedPoint x) { return val >= x.val; } int operator >=(double x) { return *this >= (FixedPoint)x; } int operator >=(int x) { return *this >= (FixedPoint)x; } int operator >=(long x) { 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 +(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 +=(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 -(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 -=(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 *(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 *=(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 /(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 /=(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; } 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); 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; // 16.16 fixed point }; #endif // USE_FIXEDPOINT #endif