| [1963] | 1 | #ifndef GIM_MATH_H_INCLUDED | 
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 | 2 | #define GIM_MATH_H_INCLUDED | 
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 | 3 | /*! \file gim_math.h | 
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 | 4 | \author Francisco Len Nßjera | 
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 | 5 | */ | 
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 | 6 | /* | 
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 | 7 | ----------------------------------------------------------------------------- | 
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 | 8 | This source file is part of GIMPACT Library. | 
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 | 9 |  | 
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 | 10 | For the latest info, see http://gimpact.sourceforge.net/ | 
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 | 11 |  | 
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 | 12 | Copyright (c) 2006 Francisco Leon Najera. C.C. 80087371. | 
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 | 13 | email: projectileman@yahoo.com | 
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 | 14 |  | 
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 | 15 |  This library is free software; you can redistribute it and/or | 
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 | 16 |  modify it under the terms of EITHER: | 
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 | 17 |    (1) The GNU Lesser General Public License as published by the Free | 
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 | 18 |        Software Foundation; either version 2.1 of the License, or (at | 
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 | 19 |        your option) any later version. The text of the GNU Lesser | 
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 | 20 |        General Public License is included with this library in the | 
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 | 21 |        file GIMPACT-LICENSE-LGPL.TXT. | 
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 | 22 |    (2) The BSD-style license that is included with this library in | 
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 | 23 |        the file GIMPACT-LICENSE-BSD.TXT. | 
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 | 24 |    (3) The zlib/libpng license that is included with this library in | 
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 | 25 |        the file GIMPACT-LICENSE-ZLIB.TXT. | 
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 | 26 |  | 
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 | 27 |  This library is distributed in the hope that it will be useful, | 
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 | 28 |  but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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 | 29 |  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files | 
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 | 30 |  GIMPACT-LICENSE-LGPL.TXT, GIMPACT-LICENSE-ZLIB.TXT and GIMPACT-LICENSE-BSD.TXT for more details. | 
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 | 31 |  | 
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 | 32 | ----------------------------------------------------------------------------- | 
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 | 33 | */ | 
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 | 34 |  | 
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 | 35 | #include "LinearMath/btScalar.h" | 
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 | 36 |  | 
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 | 37 |  | 
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 | 38 | /*! \defgroup BASIC_TYPES | 
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 | 39 | Basic types and constants | 
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 | 40 | Conventions: | 
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 | 41 | Types starting with G | 
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 | 42 | Constants starting with G_ | 
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 | 43 | */ | 
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 | 44 | //! @{ | 
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 | 45 |  | 
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 | 46 | #define GREAL btScalar | 
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 | 47 | #define GREAL2 double | 
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 | 48 | #define GINT int | 
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 | 49 | #define GUINT unsigned int | 
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 | 50 | #define GSHORT short | 
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 | 51 | #define GUSHORT unsigned short | 
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 | 52 | #define GINT64 long long | 
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 | 53 | #define GUINT64 unsigned long long | 
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 | 54 |  | 
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 | 55 | //! @} | 
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 | 56 |  | 
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 | 57 | /*! \defgroup BASIC_CONSTANTS | 
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 | 58 | Basic constants | 
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 | 59 | Conventions: | 
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 | 60 | Types starting with G | 
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 | 61 | Constants starting with G_ | 
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 | 62 | */ | 
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 | 63 | //! @{ | 
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 | 64 |  | 
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 | 65 | #define G_PI 3.14159265358979f | 
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 | 66 | #define G_HALF_PI 1.5707963f | 
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 | 67 | //267948966 | 
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 | 68 | #define G_TWO_PI 6.28318530f | 
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 | 69 | //71795864 | 
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 | 70 | #define G_ROOT3 1.73205f | 
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 | 71 | #define G_ROOT2 1.41421f | 
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 | 72 | #define G_UINT_INFINITY 0xffffffff //!< A very very high value | 
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 | 73 | #define G_REAL_INFINITY FLT_MAX | 
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 | 74 | #define G_SIGN_BITMASK                  0x80000000 | 
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 | 75 | #define G_EPSILON SIMD_EPSILON | 
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 | 76 | //! @} | 
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 | 77 |  | 
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 | 78 |  | 
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 | 79 | /*! \defgroup SCALAR_TYPES | 
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 | 80 | \brief | 
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 | 81 | Precision type constants | 
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 | 82 | */ | 
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 | 83 | //! @{ | 
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 | 84 | enum GIM_SCALAR_TYPES | 
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 | 85 | { | 
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 | 86 |         G_STYPE_REAL =0, | 
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 | 87 |         G_STYPE_REAL2, | 
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 | 88 |         G_STYPE_SHORT, | 
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 | 89 |         G_STYPE_USHORT, | 
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 | 90 |         G_STYPE_INT, | 
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 | 91 |         G_STYPE_UINT, | 
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 | 92 |         G_STYPE_INT64, | 
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 | 93 |         G_STYPE_UINT64 | 
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 | 94 | }; | 
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 | 95 | //! @} | 
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 | 96 |  | 
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 | 97 | /*! \defgroup MATH_FUNCTIONS | 
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 | 98 | mathematical functions | 
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 | 99 | */ | 
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 | 100 | //! @{ | 
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 | 101 |  | 
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 | 102 | #define G_DEGTORAD(X) ((X)*3.1415926f/180.0f) | 
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 | 103 | #define G_RADTODEG(X) ((X)*180.0f/3.1415926f) | 
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 | 104 |  | 
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 | 105 | //! Integer representation of a floating-point value. | 
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 | 106 | #define GIM_IR(x)                                       ((GUINT&)(x)) | 
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 | 107 |  | 
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 | 108 | //! Signed integer representation of a floating-point value. | 
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 | 109 | #define GIM_SIR(x)                                      ((GINT&)(x)) | 
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 | 110 |  | 
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 | 111 | //! Absolute integer representation of a floating-point value | 
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 | 112 | #define GIM_AIR(x)                                      (GIM_IR(x)&0x7fffffff) | 
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 | 113 |  | 
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 | 114 | //! Floating-point representation of an integer value. | 
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 | 115 | #define GIM_FR(x)                                       ((GREAL&)(x)) | 
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 | 116 |  | 
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 | 117 | #define GIM_MAX(a,b) (a<b?b:a) | 
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 | 118 | #define GIM_MIN(a,b) (a>b?b:a) | 
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 | 119 |  | 
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 | 120 | #define GIM_MAX3(a,b,c) GIM_MAX(a,GIM_MAX(b,c)) | 
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 | 121 | #define GIM_MIN3(a,b,c) GIM_MIN(a,GIM_MIN(b,c)) | 
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 | 122 |  | 
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 | 123 | #define GIM_IS_ZERO(value) (value < G_EPSILON &&  value > -G_EPSILON) | 
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 | 124 |  | 
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 | 125 | #define GIM_IS_NEGATIVE(value) (value <= -G_EPSILON) | 
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 | 126 |  | 
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 | 127 | #define GIM_IS_POSISITVE(value) (value >= G_EPSILON) | 
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 | 128 |  | 
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 | 129 | #define GIM_NEAR_EQUAL(v1,v2) GIM_IS_ZERO((v1-v2)) | 
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 | 130 |  | 
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 | 131 | ///returns a clamped number | 
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 | 132 | #define GIM_CLAMP(number,minval,maxval) (number<minval?minval:(number>maxval?maxval:number)) | 
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 | 133 |  | 
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 | 134 | #define GIM_GREATER(x, y)       fabsf(x) > (y) | 
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 | 135 |  | 
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 | 136 | ///Swap numbers | 
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 | 137 | #define GIM_SWAP_NUMBERS(a,b){ \ | 
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 | 138 |     a = a+b; \ | 
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 | 139 |     b = a-b; \ | 
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 | 140 |     a = a-b; \ | 
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 | 141 | }\ | 
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 | 142 |  | 
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 | 143 | #define GIM_INV_SQRT(va,isva)\ | 
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 | 144 | {\ | 
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 | 145 |     if(va<=0.0000001f)\ | 
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 | 146 |     {\ | 
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 | 147 |         isva = G_REAL_INFINITY;\ | 
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 | 148 |     }\ | 
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 | 149 |     else\ | 
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 | 150 |     {\ | 
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 | 151 |         GREAL _x = va * 0.5f;\ | 
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 | 152 |         GUINT _y = 0x5f3759df - ( GIM_IR(va) >> 1);\ | 
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 | 153 |         isva = GIM_FR(_y);\ | 
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 | 154 |         isva  = isva * ( 1.5f - ( _x * isva * isva ) );\ | 
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 | 155 |     }\ | 
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 | 156 | }\ | 
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 | 157 |  | 
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 | 158 | #define GIM_SQRT(va,sva)\ | 
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 | 159 | {\ | 
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 | 160 |     GIM_INV_SQRT(va,sva);\ | 
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 | 161 |     sva = 1.0f/sva;\ | 
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 | 162 | }\ | 
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 | 163 |  | 
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 | 164 | //! Computes 1.0f / sqrtf(x). Comes from Quake3. See http://www.magic-software.com/3DGEDInvSqrt.html | 
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 | 165 | inline GREAL gim_inv_sqrt(GREAL f) | 
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 | 166 | { | 
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 | 167 |     GREAL r; | 
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 | 168 |     GIM_INV_SQRT(f,r); | 
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 | 169 |     return r; | 
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 | 170 | } | 
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 | 171 |  | 
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 | 172 | inline GREAL gim_sqrt(GREAL f) | 
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 | 173 | { | 
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 | 174 |     GREAL r; | 
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 | 175 |     GIM_SQRT(f,r); | 
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 | 176 |     return r; | 
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 | 177 | } | 
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 | 178 |  | 
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 | 179 | //! @} | 
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 | 180 |  | 
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 | 181 | #endif // GIM_MATH_H_INCLUDED | 
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