#ifndef GIM_MATH_H_INCLUDED #define GIM_MATH_H_INCLUDED /*! \file gim_math.h \author Francisco León */ /* ----------------------------------------------------------------------------- This source file is part of GIMPACT Library. For the latest info, see http://gimpact.sourceforge.net/ Copyright (c) 2006 Francisco Leon. C.C. 80087371. email: projectileman@yahoo.com This library is free software; you can redistribute it and/or modify it under the terms of EITHER: (1) The GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The text of the GNU Lesser General Public License is included with this library in the file GIMPACT-LICENSE-LGPL.TXT. (2) The BSD-style license that is included with this library in the file GIMPACT-LICENSE-BSD.TXT. This library is 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 files GIMPACT-LICENSE-LGPL.TXT and GIMPACT-LICENSE-BSD.TXT for more details. ----------------------------------------------------------------------------- */ #include #include /*! \defgroup BASIC_TYPES Basic types and constants Conventions: Types starting with G Constants starting with G_ */ //! @{ /*! Types */ #define GREAL float #define GINT long #define GUINT unsigned long /*! Constants for integers*/ #define GUINT_BIT_COUNT 32 #define GUINT_EXPONENT 5 #define G_FASTMATH 1 #define G_PI 3.14159265358979f #define G_HALF_PI 1.5707963f //267948966 #define G_TWO_PI 6.28318530f //71795864 #define G_ROOT3 1.73205f #define G_ROOT2 1.41421f #define G_UINT_INFINITY 65534 #define G_REAL_INFINITY FLT_MAX #define G_SIGN_BITMASK 0x80000000 #define G_USE_EPSILON_TEST #define G_EPSILON 0.0000001f //! @} /*! \defgroup MATH_FUNCTIONS mathematical functions */ //! @{ #define G_DEGTORAD(X) ((X)*3.1415926f/180.0f) #define G_RADTODEG(X) ((X)*180.0f/3.1415926f) //! Integer representation of a floating-point value. #define IR(x) ((GUINT&)(x)) //! Signed integer representation of a floating-point value. #define SIR(x) ((GINT&)(x)) //! Absolute integer representation of a floating-point value #define AIR(x) (IR(x)&0x7fffffff) //! Floating-point representation of an integer value. #define FR(x) ((GREAL&)(x)) #define MAX(a,b) (ab?b:a) #define MAX3(a,b,c) MAX(a,MAX(b,c)) #define MIN3(a,b,c) MIN(a,MIN(b,c)) #define IS_ZERO(value) (value < G_EPSILON && value > -G_EPSILON) #define IS_NEGATIVE(value) (value <= -G_EPSILON) #define IS_POSISITVE(value) (value >= G_EPSILON) ///returns a clamped number #define CLAMP(number,minval,maxval) (numbermaxval?maxval:number)) ///Swap numbers #define SWAP_NUMBERS(a,b){ \ a = a+b; \ b = a-b; \ a = a-b; \ }\ #define GIM_INV_SQRT(va,isva)\ {\ if(va<=0.0000001f)\ {\ isva = G_REAL_INFINITY;\ }\ else\ {\ GREAL _x = va * 0.5f;\ GUINT _y = 0x5f3759df - ( IR(va) >> 1);\ isva = FR(_y);\ isva = isva * ( 1.5f - ( _x * isva * isva ) );\ }\ }\ #define GIM_SQRT(va,sva)\ {\ GIM_INV_SQRT(va,sva);\ sva = 1.0f/sva;\ }\ //! Computes 1.0f / sqrtf(x). Comes from Quake3. See http://www.magic-software.com/3DGEDInvSqrt.html GREAL gim_inv_sqrt(GREAL f); //! Computes sqrtf(x) faster. /*! \sa gim_inv_sqrt */ GREAL gim_sqrt(GREAL f); //!Initializes mathematical functions void gim_init_math(); //! Generates an unit random GREAL gim_unit_random(); //! @} #endif // GIM_MATH_H_INCLUDED