[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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