macros.h

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// $Id: macros.h 751 2006-03-31 15:43:49Z alex $
// macros.h
//
// Author  : Mike
// Purpose : Defines some useful macros (taken from Aurora)
// Version : 1.0
// Started : 18/08/94
/* @@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
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implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along
with Xara LX (see the file GPL in the root directory of the
distribution); if not, write to the Free Software Foundation, Inc., 51
Franklin St, Fifth Floor, Boston, MA  02110-1301 USA


ADDITIONAL RIGHTS
-----------------

Conditional upon your continuing compliance with the GNU General Public
License described above, Xara Group Ltd grants to you certain additional
rights. 

The additional rights are to use, modify, and distribute the software
together with the wxWidgets library, the wxXtra library, and the "CDraw"
library and any other such library that any version of Xara LX relased
by Xara Group Ltd requires in order to compile and execute, including
the static linking of that library to XaraLX. In the case of the
"CDraw" library, you may satisfy obligation under the GNU General Public
License to provide source code by providing a binary copy of the library
concerned and a copy of the license accompanying it.

Nothing in this section restricts any of the rights you have under
the GNU General Public License.


SCOPE OF LICENSE
----------------

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files only, and does not necessarily apply to other Xara products which may
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----------------------------------------------

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free to do whatever you like with your modifications. However, you may
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Please note that Xara will not accept modifications which modify any of
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MARKS
-----

Xara, Xara LX, Xara X, Xara X/Xtreme, Xara Xtreme, the Xtreme and Xara
designs are registered or unregistered trademarks, design-marks, and/or
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      Xara Group Ltd, Gaddesden Place, Hemel Hempstead, HP2 6EX, UK.
                        http://www.xara.com/

=================================XARAHEADEREND============================
 */

#ifndef INC_MACROS
#define INC_MACROS

#include <math.h>

#define _Long(x)  ((INT32)(x))
#define _Int(x)   ((INT32)(x))
#define _Float(x) ((FLOAT)(x))
#define _Dble(x)  ((double)(x))

double const XS_2PI         =  6.28318530717958623200;
double const XS_DEGTORAD    =  0.01745329251994329547;
double const XS_E           =  2.71828182845904553488;
double const XS_EEXPPI      = 23.14069263277927390732;
double const XS_GOLDEN      =  1.61803398874989490253;
double const XS_INVPI       =  0.31830988618379069122;
double const XS_LN10        =  2.30258509299404590109;
double const XS_LN2         =  0.69314718055994528623;
double const XS_LOG10E      =  0.43429448190325187218;
double const XS_LOG2E       =  1.44269504088896338700;
double const XS_LOG05       = -0.693147180559945;
double const XS_PI          =  3.14159265358979323846;
double const XS_PIDIV2      =  1.57079632679489655800;
double const XS_PIDIV4      =  0.78539816339744827900;
double const XS_RADTODEG    = 57.29577951308232286465;
double const XS_SQRT2       =  1.41421356237309514547;
double const XS_SQRT2PI     =  2.50662827463100024161;
double const XS_SQRT3       =  1.73205080756887719318;
double const XS_SQRT10      =  3.16227766016837952279;
double const XS_SQRTE       =  1.64872127070012819416;
double const XS_SQRTHALF    =  0.70710678118654757274;
double const XS_SQRTLN2     =  0.83255461115769768821;
double const XS_SQRTPI      =  1.77245385090551588192;
double const XS_EPSILON     =  1.0e-10;
double const XS_GOOGOL      =  1.0e50;


//***************************************************************************************
// ONE ARGUMENT UTILITY FUNCTIONS - INT32 VERSIONS
//***************************************************************************************

inline INT32 LClamp(INT32 x, INT32 min, INT32 max)
{
    return (x < min ? min : (x > max ? max : x));
}
    
inline INT32 LAbs(INT32 x)
{
    return (x >= 0) ? x : -x;
}

inline INT32 LSign(INT32 x)
{
    return (x < 0) ? -1 : 1;
}

inline INT32 LSmooth(INT32 x)
{
    return (3 - 2 * x) * x * x;
}


//***************************************************************************************
// TWO-ARGUMENT UTILITY FUNCTIONS - INT32 VERSIONS
//***************************************************************************************

inline INT32 LMin(INT32 x, INT32 y)
{
    return (x < y) ? x : y;
}

inline INT32 LMax(INT32 x, INT32 y)
{
    return (x > y) ? x : y;
}


//***************************************************************************************
// THREE-ARGUMENT UTILITY FUNCTIONS - INT32 VERSIONS
//***************************************************************************************

inline INT32 LMin(INT32 x, INT32 y, INT32 z)
{
    return (x < y) ? LMin(x, z) : LMin(y, z);
}

inline INT32 LMax(INT32 x, INT32 y, INT32 z)
{
    return (x > y) ? LMax(x, z) : LMax(y, z);
}



//***************************************************************************************
// ONE ARGUMENT UTILITY FUNCTIONS - FLOAT VERSIONS
//***************************************************************************************

inline float FClamp(float x)
{
    return (x < 0.0f ? 0.0f : (x > 1.0f ? 1.0f : x));
}
    
inline float FAbs(float x)
{
    return (x >= 0.0f) ? x : -x;
}

inline float FFrac(float x)
{
    return (x-((INT32)(x)));
}

inline float FCeil(float x)
{
    return (x == _Int(x)) ? x : (x > 0.0f) ? _Float(_Int(x) + 1.0f) : _Float(_Int(x));
}

inline float FFloor(float x)
{
    return (x == _Int(x)) ? x : (x > 0.0f) ? _Float(_Int(x)) : _Float(_Int(x) - 1.0f);
}

inline float FRound(float x)
{
    return (x >= 0.0f) ? _Float(_Int(x + 0.5f)) : _Float(- _Int(0.5f - x));
}

inline float FSign(float x)
{
    return (x < 0.0f) ? -1.0f : 1.0f;
}

inline float FSmooth(float x)
{
    return (3.0f - 2.0f * x) * x * x;
}

inline float FTrunc(float x)
{
    return _Float(_Int(x));
}


//***************************************************************************************
// TWO-ARGUMENT UTILITY FUNCTIONS - FLOAT VERSIONS
//***************************************************************************************

inline float FMin(float x, float y)
{
    return (x < y) ? x : y;
}

inline float FMax(float x, float y)
{
    return (x > y) ? x : y;
}


//***************************************************************************************
// THREE-ARGUMENT UTILITY FUNCTIONS - FLOAT VERSIONS
//***************************************************************************************

inline float FMax(float x, float y, float z)
{
    return (x > y) ? FMax(x, z) : FMax(y, z);
}

inline float FMin(float x, float y, float z)
{
    return (x < y) ? FMin(x, z) : FMin(y, z);
}








//***************************************************************************************
// ONE ARGUMENT UTILITY FUNCTIONS - DOUBLE VERSIONS
//***************************************************************************************

inline double DAbs(double f)
{
    return (f >= 0) ? f : -f;
}

inline double DFrac(double f)
{
    return (f-_Long(f));
}

inline double DCeil(double f)
{
    return (f == _Int(f)) ? f : (f > 0) ? _Dble(_Int(f) + 1) : _Dble(_Int(f));
}

inline double DCube(double f)
{
    return f * f * f;
}

inline double DDegrees(double f)
{
    return f * XS_RADTODEG;
}

inline double DFloor(double f)
{
    return (f == _Int(f)) ? f : (f > 0) ? _Dble(_Int(f)) : _Dble(_Int(f)-1);
}

inline double DInv(double f)
{
    return 1.0 / f;
}

inline BOOL DIsZero(double f)
{
    return ((f<=0.0) ? (f >= -XS_EPSILON) : (f <= XS_EPSILON));
}

inline double DRadians(double f)
{
    return f * XS_DEGTORAD;
}

inline double DRound(double f)
{
    return (f >= 0) ? _Dble(_Int(f + 0.5)) : _Dble(- _Int(0.5 - f));
}

inline double DSign(double f)
{
    return (f < 0) ? -1.0 : 1.0;
}

inline double DSmooth(double f)
{
    return (3.0 - 2.0 * f) * f * f;
}

inline double DTrunc(double f)
{
    return _Dble(_Int(f));
}

inline double DZSign(double f)
{
    return (f > 0) ? 1.0 : (f < 0) ? -1.0 : 0.0;
}

inline double DCubeRoot(double x)
{
    return (x>0.0) ? pow(x, 1.0/3.0) : (x<0.0) ? -pow(-x, 1.0/3.0) : 0.0;
}



//***************************************************************************************
// TWO-ARGUMENT UTILITY FUNCTIONS - DOUBLE VERSIONS
//***************************************************************************************

inline BOOL DFuzEQ(double f, double g)
{
    return (f <= g) ? (f >= g - XS_EPSILON) : (f <= g + XS_EPSILON);
}

inline BOOL DFuzGEQ(double f, double g)
{
    return (f >= g - XS_EPSILON);
}

inline BOOL DFuzLEQ(double f, double g)
{
    return (f <= g + XS_EPSILON);
}

inline double DMax(double f, double g)
{
    return (f > g) ? f : g;
}

inline double DMin(double f, double g)
{
    return (f < g) ? f : g;
}

inline void DSwap(double& f, double& g)
{
    double gmTmp = f; f = g; g = gmTmp;
}

inline void DSwap(INT32& i, INT32& j)
{
    INT32 gmTmp = i; i = j; j = gmTmp;
}

inline void DSort(double& lo, double& hi)
{
    if (lo>hi) DSwap(lo,hi);
}

inline double DStep(double a, double f)
{
    return _Dble(f>=a);
}

inline double DFuzStep(double a, double f, double fzz)
{
    return _Dble(f>=(a+fzz));
}

inline double DGamma(double gamma, double f)
{
    return (gamma==0.0) ? XS_GOOGOL : pow(f, 1/gamma);
}

inline double DBias(double bias, double f)
{
    return pow(f,log(bias)/log(0.5));
}

inline double DGain(double gain, double f)
{
    return (f<0.5) ? (DBias(1.0-gain,2.0*f)/2.0) : (1-DBias(1.0-gain, 2.0-2.0*f)/2.0);
}

inline double DExculsiveOr(double a, double b)
{
    return (a + b - a * b);
}

inline double DIntersection(double a, double b)
{
    return (a * b);
}

inline double DDifference(double a, double b)
{
    return (a - a * b);
}

inline double DRepeat(double u, double freq)
{
    // return distance into tile
    return DFrac(u*freq);
}

inline double DTile(double u, double freq)
{
    // return the tile number
    return _Long(u*freq);
}



//***************************************************************************************
// MULTI-ARGUMENT UTILITY FUNCTIONS - DOUBLE VERSIONS
//***************************************************************************************

inline double DClamp(const double x, const double a, const double b)
{
    return (x < a ? a : (x > b ? b : x));
}

inline double DLerp(double f, double l, double h)
{
    return l + ((h - l) * f );
}

inline double DNorm(double f, double a, double b)
{
    return (f-a)/(b-a);
}

inline double DMax(double f, double g, double h)
{
    return (f > g) ? DMax(f, h) : DMax(g, h);
}

inline double DMin(double f, double g, double h)
{
    return (f < g) ? DMin(f, h) : DMin(g, h);
}

inline double DSlide(double f, double l, double h)
{
    return (f < 0) ? l : (f > 1) ? h : DLerp(DSmooth(f), l, h);
}

inline double DSmoothStep(double a, double b, double f)
{
    return (f < a) ? 0.0 : (f > b) ? 1.0 : DSmooth(DNorm(f,a,b));
}

inline double DBoxStep(double a, double b, double x)
{
    return (DClamp((x-a)/(b-a),0,1));
}

inline double DPulse(double a, double b, double x)
{
    return (DStep(a,x) - DStep(b,x));
}

inline double DFuzPulse(double a, double b, double x, double fzz)
{
    return (DFuzStep(a,x,-fzz) - DFuzStep(b,x,+fzz));
}

inline double DRange(double t,
                       double min, double max, 
                       double lo, double mid, double hi)
{
    return (t<min) ? lo : ((t>max) ? hi : mid);
}


#endif

---