// $Id: fixed16.h 1261 2006-06-06 11:58:26Z alex $ /* @@tag:xara-cn@@ DO NOT MODIFY THIS LINE ================================XARAHEADERSTART=========================== Xara LX, a vector drawing and manipulation program. Copyright (C) 1993-2006 Xara Group Ltd. Copyright on certain contributions may be held in joint with their respective authors. See AUTHORS file for details. LICENSE TO USE AND MODIFY SOFTWARE ---------------------------------- This file is part of Xara LX. Xara LX is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License version 2 as published by the Free Software Foundation. Xara LX and its component source files are distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. 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Xara Group Ltd, Gaddesden Place, Hemel Hempstead, HP2 6EX, UK. http://www.xara.com/ =================================XARAHEADEREND============================ */ class StringBase; /* */ /********************************************************************************************* > class FIXED16 Author: Mario_Shamtani (Xara Group Ltd) Created: 26/4/1993 SeeAlso: CCMaths.h SeeAlso: Fixedasm.h SeeAlso: Div32By32 SeeAlso: Keyword FIXED16 Purpose: An FIXED16 is a signed 32-bit value with a binary point between bits 15 and 16. Its purpose is to represent 32-bit floating point numbers. FIXED16 is a fixed point number contained within a 32-bit longword. The high 16-bit half contains the integer part, the low half the fractional. (Intel implementations store this as the low half first in memory). The integer half ranges from -32768 to 32767, the fractional part from 0 to 65535/65536ths (1/65536th= 0.000015259, 65535/65536=0.999984741). For efficiency all primitives are written in assembly-language, though most are used transparently by operator overloading. No-one should include fixed16.h directly - always use ccmath.h. You should also never use the lower-case type 'fixed16' - always used 'FIXED16'. Errors: None. ********************************************************************************************/ #ifndef INC_FIXED16 #define INC_FIXED16 // One as a fixed16 as a longword, and 0.5 as... const INT32 FIXED16_ONE = 0x10000L; const INT32 FIXED16_HALF= 0x08000L; #if !defined(USE_NATIVE_XLONG) class CCAPI xlong; #endif class CCAPI String; class CCAPI fixed16 { public: INT32 all; public: #define F16SHIFT 16 // marks binary point position // this converts a short into a fixed16 longword by casting to an INT32 then shifting it #define SHORT_FIXED(x) ( ((INT32)(x)) << F16SHIFT ) inline fixed16() {}; inline fixed16(const fixed16&); inline fixed16(INT32); inline fixed16(short); inline fixed16(double); fixed16& Sin(); fixed16& Cos(); inline fixed16 trunc() const; inline fixed16 round() const; inline fixed16 abs() const; inline fixed16 sgn() const; void ToString(StringBase* out) const; // Friend Functions inline friend fixed16 Div32By32(const INT32 a, const INT32 b); inline friend fixed16 CCAPI operator+ (const fixed16&, const fixed16&); inline friend fixed16 CCAPI operator- (const fixed16&, const fixed16&); inline friend fixed16 CCAPI operator- (const fixed16&); inline friend fixed16 CCAPI operator* (const fixed16&, const fixed16&); inline friend fixed16 CCAPI operator/ (const fixed16&, const fixed16&); inline friend fixed16 CCAPI operator>> (const fixed16&, UINT32); inline friend fixed16 CCAPI operator<< (const fixed16&, UINT32); // Relational Operators inline friend INT32 CCAPI operator== (const fixed16&, const fixed16&); inline friend INT32 CCAPI operator== (const fixed16&, const short); inline friend INT32 CCAPI operator!= (const fixed16&, const fixed16&); inline friend INT32 CCAPI operator!= (const fixed16&, const short); inline friend INT32 CCAPI operator> (const fixed16&, const fixed16&); inline friend INT32 CCAPI operator> (const fixed16&, const short); inline friend INT32 CCAPI operator< (const fixed16&, const fixed16&); inline friend INT32 CCAPI operator< (const fixed16&, const short); inline friend INT32 CCAPI operator>= (const fixed16&, const fixed16&); inline friend INT32 CCAPI operator>= (const fixed16&, const short); inline friend INT32 CCAPI operator<= (const fixed16&, const fixed16&); inline friend INT32 CCAPI operator<= (const fixed16&, const short); // Assignment Operators inline fixed16& operator= (const fixed16&); inline fixed16& operator= (const INT32); inline fixed16& operator= (const short); inline fixed16& operator= (const double); inline fixed16& operator+= (const fixed16&); inline fixed16& operator+= (const short); inline fixed16& operator-= (const fixed16&); inline fixed16& operator-= (const short); inline fixed16& operator*= (const fixed16&); inline fixed16& operator*= (const short); inline fixed16& operator/= (const fixed16&); inline fixed16& operator/= (const short); inline fixed16& operator<<= (const UINT32); inline fixed16& operator>>= (const UINT32); // Increment\Decrement Operators inline fixed16& operator++ (); // prefix inline fixed16 operator++ (INT32); // postfix inline fixed16& operator-- (); // prefix inline fixed16 operator-- (INT32); // postfix // Conversion functions inline INT32 MakeInt() const; inline short MakeShort() const; inline double MakeDouble() const; inline INT32 MakeLong() const; inline xlong MakeXlong() const; inline static fixed16 FromRawLong(INT32 d); inline static fixed16 FromShifted16(INT32 d); inline INT32 GetRawLong() const; inline INT32 GetShifted16() const; }; // this is a temporary kludge for the 32-bit MS compiler #define F16ASSIGN( it ) it #define F16ASSIGNTHIS *this #include "fixed.h" /******************************************************************************************** Note that all the comment blocks live in the cpp files so they get compiled in with the help compiler ********************************************************************************************/ #define FIXED16_DBL(d) fixed16::FromRawLong((INT32)((d)*65536)) inline fixed16::fixed16(const fixed16& initValue) { all = initValue.all; } inline fixed16::fixed16(INT32 initValue) { all = SHORT_FIXED( initValue ); } inline fixed16::fixed16(short initValue) { all = SHORT_FIXED( initValue ); } inline fixed16::fixed16(double initValue) { *this = DoubleToFixed16(initValue); } inline fixed16 fixed16::FromRawLong(INT32 d) { fixed16 temp; temp.all = d; return temp; } inline fixed16 fixed16::FromShifted16(INT32 d) { fixed16 temp; temp.all = d; return temp; } inline INT32 fixed16::MakeInt() const { return (INT32) (all >> F16SHIFT); } inline short fixed16::MakeShort() const { return (short) (all >> F16SHIFT); } inline INT32 fixed16::MakeLong() const { return all >> F16SHIFT; } inline xlong fixed16::MakeXlong() const { return xlong( (short) (all >> F16SHIFT) ); } inline fixed16& fixed16::operator= (const fixed16& operand) { this->all = operand.all; return *this; } inline double fixed16::MakeDouble() const { return Fixed16ToDouble(*this); } inline fixed16& fixed16::operator= (const short operand) { this->all = SHORT_FIXED( operand ); return *this; } inline INT32 fixed16::GetRawLong() const { return this->all; } inline INT32 fixed16::GetShifted16() const { return this->all; } inline fixed16 fixed16::trunc() const { return FromRawLong( all & 0xFFFF0000L ); } inline fixed16 fixed16::round() const { return FromRawLong( ( all + FIXED16_HALF ) & 0xFFFF0000L ); } inline fixed16 fixed16::abs() const { return FromRawLong( all<0 ? -all : all ); } inline fixed16 fixed16::sgn() const { return FromRawLong( all<0 ? -FIXED16_ONE : FIXED16_ONE ); } inline fixed16 operator+ (const fixed16& operand1, const fixed16& operand2) { fixed16 result; result.all = operand1.all + operand2.all; return result; } inline fixed16 operator- (const fixed16& operand1, const fixed16& operand2) { fixed16 result; result.all = operand1.all - operand2.all; return result; } inline fixed16 operator- (const fixed16& operand) { fixed16 temp; temp.all = -operand.all; return temp; } inline fixed16 operator* (const fixed16& operand1, const fixed16& operand2) { fixed16 result; F16ASSIGN(result) = Fixed16Mul( operand1, operand2 ); return result; } inline fixed16 operator/ (const fixed16& operand1, const fixed16& operand2) { fixed16 result; F16ASSIGN(result) = Fixed16Div( operand1, operand2 ); return result; } inline fixed16 operator>> (const fixed16& operand1, UINT32 operand2) { fixed16 result; result.all = operand1.all >> operand2; return result; } inline fixed16 operator<< (const fixed16& operand1, UINT32 operand2) { fixed16 result; result.all = operand1.all << operand2; return result; } inline INT32 operator== (const fixed16& operand1, const fixed16& operand2) { return operand1.all == operand2.all; } inline INT32 operator== (const fixed16& operand1, const short operand2) { return operand1.all == SHORT_FIXED( operand2 ); } inline INT32 operator!= (const fixed16& operand1, const fixed16& operand2) { return operand1.all != operand2.all; } inline INT32 operator!= (const fixed16& operand1, const short operand2) { return operand1.all != SHORT_FIXED( operand2 ); } inline INT32 operator> (const fixed16& operand1, const fixed16& operand2) { return operand1.all > operand2.all; } inline INT32 operator> (const fixed16& operand1, const short operand2) { return operand1.all > SHORT_FIXED(operand2); } inline INT32 operator< (const fixed16& operand1, const fixed16& operand2) { return operand1.all < operand2.all; } inline INT32 operator< (const fixed16& operand1, const short operand2) { return operand1.all < SHORT_FIXED( operand2 ); } inline INT32 operator>= (const fixed16& operand1, const fixed16& operand2) { return operand1.all >= operand2.all; } inline INT32 operator>= (const fixed16& operand1, const short operand2) { return operand1.all >= SHORT_FIXED( operand2 ); } inline INT32 operator<= (const fixed16& operand1, const fixed16& operand2) { return operand1.all <= operand2.all; } inline INT32 operator<= (const fixed16& operand1, const short operand2) { return operand1.all <= SHORT_FIXED( operand2 ); } inline fixed16& fixed16::operator= (const INT32 operand) { this->all = SHORT_FIXED( operand ); return *this; } inline fixed16& fixed16::operator= (const double operand) { F16ASSIGNTHIS = DoubleToFixed16(operand); return *this; } inline fixed16& fixed16::operator+= (const fixed16& operand) { this->all += operand.all; return *this; } inline fixed16& fixed16::operator+= (const short operand) { this->all += SHORT_FIXED( operand ); return *this; } inline fixed16& fixed16::operator-= (const fixed16& operand) { this->all -= operand.all; return *this; } inline fixed16& fixed16::operator-= (const short operand) { this->all -= SHORT_FIXED( operand ); return *this; } inline fixed16& fixed16::operator*= (const fixed16& operand) { F16ASSIGNTHIS = Fixed16Mul(*this, operand); return *this; } inline fixed16& fixed16::operator*= (const short operand) { fixed16 temp; temp.all = SHORT_FIXED( operand ); F16ASSIGNTHIS = Fixed16Mul(*this, temp); return *this; } inline fixed16& fixed16::operator/= (const fixed16& operand) { F16ASSIGNTHIS = Fixed16Div(*this, operand); return *this; } inline fixed16& fixed16::operator/= (const short operand) { fixed16 temp; temp.all = SHORT_FIXED( operand ); F16ASSIGNTHIS = Fixed16Div(*this, temp); return *this; } inline fixed16& fixed16::operator<<= (const UINT32 operand) { this->all <<= operand; return *this; } inline fixed16& fixed16::operator>>= (const UINT32 operand) { this->all >>= operand; return *this; } inline fixed16& fixed16::operator++ () // prefix { this->all += FIXED16_ONE; return *this; } inline fixed16 fixed16::operator++ (INT32 dummy) // postfix { fixed16 result = *this; this->all += FIXED16_ONE; return result; } inline fixed16& fixed16::operator-- () // prefix { this->all -= FIXED16_ONE; return *this; } inline fixed16 fixed16::operator-- (INT32 dummy) // postfix { fixed16 result = *this; this->all -= FIXED16_ONE; return result; } #endif