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