This is the Tiny Vector Matrix Expression Templates library found at http://tvmet.sourceforge.net. It is the fastest and most compact matrix lib out there (for < 10x10 matricies). I have done some minor tweaks to make it compile for mbed. For examples and hints on how to use, see: http://tvmet.sourceforge.net/usage.html

Dependents:   Eurobot_2012_Secondary

Committer:
madcowswe
Date:
Wed Mar 28 15:53:45 2012 +0000
Revision:
0:feb4117d16d8

        

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madcowswe 0:feb4117d16d8 1 /*
madcowswe 0:feb4117d16d8 2 * Tiny Vector Matrix Library
madcowswe 0:feb4117d16d8 3 * Dense Vector Matrix Libary of Tiny size using Expression Templates
madcowswe 0:feb4117d16d8 4 *
madcowswe 0:feb4117d16d8 5 * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net>
madcowswe 0:feb4117d16d8 6 *
madcowswe 0:feb4117d16d8 7 * This library is free software; you can redistribute it and/or
madcowswe 0:feb4117d16d8 8 * modify it under the terms of the GNU Lesser General Public
madcowswe 0:feb4117d16d8 9 * License as published by the Free Software Foundation; either
madcowswe 0:feb4117d16d8 10 * version 2.1 of the License, or (at your option) any later version.
madcowswe 0:feb4117d16d8 11 *
madcowswe 0:feb4117d16d8 12 * This library is distributed in the hope that it will be useful,
madcowswe 0:feb4117d16d8 13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
madcowswe 0:feb4117d16d8 14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
madcowswe 0:feb4117d16d8 15 * Lesser General Public License for more details.
madcowswe 0:feb4117d16d8 16 *
madcowswe 0:feb4117d16d8 17 * You should have received a copy of the GNU Lesser General Public
madcowswe 0:feb4117d16d8 18 * License along with this library; if not, write to the Free Software
madcowswe 0:feb4117d16d8 19 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
madcowswe 0:feb4117d16d8 20 *
madcowswe 0:feb4117d16d8 21 * $Id: TypePromotion.h,v 1.10 2007-06-23 15:58:58 opetzold Exp $
madcowswe 0:feb4117d16d8 22 */
madcowswe 0:feb4117d16d8 23
madcowswe 0:feb4117d16d8 24 #ifndef TVMET_TYPE_PROMOTION_H
madcowswe 0:feb4117d16d8 25 #define TVMET_TYPE_PROMOTION_H
madcowswe 0:feb4117d16d8 26
madcowswe 0:feb4117d16d8 27 namespace tvmet {
madcowswe 0:feb4117d16d8 28
madcowswe 0:feb4117d16d8 29
madcowswe 0:feb4117d16d8 30 /**
madcowswe 0:feb4117d16d8 31 * \class PrecisionTraits TypePromotion.h "tvmet/TypePromotion.h"
madcowswe 0:feb4117d16d8 32 * \brief Declaring ranks of types to avoid specializing
madcowswe 0:feb4117d16d8 33 *
madcowswe 0:feb4117d16d8 34 * All possible promoted types. For example, bool=1, int=2, float=3, double=4,
madcowswe 0:feb4117d16d8 35 * etc. We can use a traits class to map from a type such as float onto its
madcowswe 0:feb4117d16d8 36 * "precision rank". We will promote to whichever type has a higher
madcowswe 0:feb4117d16d8 37 * "precision rank". f there is no "precision rank" for a type, we'll
madcowswe 0:feb4117d16d8 38 * promote to whichever type requires more storage space
madcowswe 0:feb4117d16d8 39 * (and hopefully more precision).
madcowswe 0:feb4117d16d8 40 */
madcowswe 0:feb4117d16d8 41 template<class T>
madcowswe 0:feb4117d16d8 42 struct PrecisionTraits {
madcowswe 0:feb4117d16d8 43 enum {
madcowswe 0:feb4117d16d8 44 rank = 0, /**< the rank of type. */
madcowswe 0:feb4117d16d8 45 known = 0 /**< true, if the rank is specialized = known. */
madcowswe 0:feb4117d16d8 46 };
madcowswe 0:feb4117d16d8 47 };
madcowswe 0:feb4117d16d8 48
madcowswe 0:feb4117d16d8 49
madcowswe 0:feb4117d16d8 50 #define TVMET_PRECISION(T,R) \
madcowswe 0:feb4117d16d8 51 template<> \
madcowswe 0:feb4117d16d8 52 struct PrecisionTraits< T > { \
madcowswe 0:feb4117d16d8 53 enum { \
madcowswe 0:feb4117d16d8 54 rank = R, \
madcowswe 0:feb4117d16d8 55 known = 1 \
madcowswe 0:feb4117d16d8 56 }; \
madcowswe 0:feb4117d16d8 57 };
madcowswe 0:feb4117d16d8 58
madcowswe 0:feb4117d16d8 59
madcowswe 0:feb4117d16d8 60 /*
madcowswe 0:feb4117d16d8 61 * pod types
madcowswe 0:feb4117d16d8 62 */
madcowswe 0:feb4117d16d8 63 TVMET_PRECISION(int, 100)
madcowswe 0:feb4117d16d8 64 TVMET_PRECISION(unsigned int, 200)
madcowswe 0:feb4117d16d8 65 TVMET_PRECISION(long, 300)
madcowswe 0:feb4117d16d8 66 TVMET_PRECISION(unsigned long, 400)
madcowswe 0:feb4117d16d8 67
madcowswe 0:feb4117d16d8 68 #if defined(TVMET_HAVE_LONG_LONG)
madcowswe 0:feb4117d16d8 69 TVMET_PRECISION(long long, 500)
madcowswe 0:feb4117d16d8 70 TVMET_PRECISION(unsigned long long, 600)
madcowswe 0:feb4117d16d8 71 #endif // defined(TVMET_HAVE_LONG_LONG)
madcowswe 0:feb4117d16d8 72
madcowswe 0:feb4117d16d8 73 TVMET_PRECISION(float, 700)
madcowswe 0:feb4117d16d8 74 TVMET_PRECISION(double, 800)
madcowswe 0:feb4117d16d8 75
madcowswe 0:feb4117d16d8 76 #if defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 0:feb4117d16d8 77 TVMET_PRECISION(long double, 900)
madcowswe 0:feb4117d16d8 78 #endif // defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 0:feb4117d16d8 79
madcowswe 0:feb4117d16d8 80
madcowswe 0:feb4117d16d8 81 /*
madcowswe 0:feb4117d16d8 82 * complex types
madcowswe 0:feb4117d16d8 83 */
madcowswe 0:feb4117d16d8 84 #if defined(TVMET_HAVE_COMPLEX)
madcowswe 0:feb4117d16d8 85 TVMET_PRECISION(std::complex<int>, 1000)
madcowswe 0:feb4117d16d8 86 TVMET_PRECISION(std::complex<unsigned int>, 1100)
madcowswe 0:feb4117d16d8 87 TVMET_PRECISION(std::complex<long>, 1200)
madcowswe 0:feb4117d16d8 88 TVMET_PRECISION(std::complex<unsigned long>, 1300)
madcowswe 0:feb4117d16d8 89
madcowswe 0:feb4117d16d8 90 #if defined(TVMET_HAVE_LONG_LONG)
madcowswe 0:feb4117d16d8 91 TVMET_PRECISION(std::complex<long long>, 1400)
madcowswe 0:feb4117d16d8 92 TVMET_PRECISION(std::complex<unsigned long long>, 1500)
madcowswe 0:feb4117d16d8 93 #endif // defined(TVMET_HAVE_LONG_LONG)
madcowswe 0:feb4117d16d8 94
madcowswe 0:feb4117d16d8 95 TVMET_PRECISION(std::complex<float>, 1600)
madcowswe 0:feb4117d16d8 96 TVMET_PRECISION(std::complex<double>, 1700)
madcowswe 0:feb4117d16d8 97
madcowswe 0:feb4117d16d8 98 #if defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 0:feb4117d16d8 99 TVMET_PRECISION(std::complex<long double>, 1800)
madcowswe 0:feb4117d16d8 100 #endif // defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 0:feb4117d16d8 101
madcowswe 0:feb4117d16d8 102 #endif // defined(TVMET_HAVE_COMPLEX)
madcowswe 0:feb4117d16d8 103
madcowswe 0:feb4117d16d8 104
madcowswe 0:feb4117d16d8 105 /** \class PrecisionTraits<int> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 106 /** \class PrecisionTraits<unsigned int> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 107 /** \class PrecisionTraits<long> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 108 /** \class PrecisionTraits<unsigned long> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 109 /** \class PrecisionTraits<long long> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 110 /** \class PrecisionTraits<unsigned long long> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 111 /** \class PrecisionTraits<float> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 112 /** \class PrecisionTraits<double> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 113 /** \class PrecisionTraits<long double> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 114 /** \class PrecisionTraits< std::complex<int> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 115 /** \class PrecisionTraits< std::complex<unsigned int> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 116 /** \class PrecisionTraits< std::complex<long> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 117 /** \class PrecisionTraits< std::complex<unsigned long> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 118 /** \class PrecisionTraits< std::complex<long long> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 119 /** \class PrecisionTraits< std::complex<unsigned long long> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 120 /** \class PrecisionTraits< std::complex<float> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 121 /** \class PrecisionTraits< std::complex<double> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 122 /** \class PrecisionTraits< std::complex<long double> > TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 123
madcowswe 0:feb4117d16d8 124 #undef TVMET_PRECISION
madcowswe 0:feb4117d16d8 125
madcowswe 0:feb4117d16d8 126
madcowswe 0:feb4117d16d8 127 /**
madcowswe 0:feb4117d16d8 128 * \class AutopromoteTraits TypePromotion.h "tvmet/TypePromotion.h"
madcowswe 0:feb4117d16d8 129 * \brief The promoted types traits.
madcowswe 0:feb4117d16d8 130 */
madcowswe 0:feb4117d16d8 131 template<class T>
madcowswe 0:feb4117d16d8 132 struct AutopromoteTraits {
madcowswe 0:feb4117d16d8 133 typedef T value_type;
madcowswe 0:feb4117d16d8 134 };
madcowswe 0:feb4117d16d8 135
madcowswe 0:feb4117d16d8 136
madcowswe 0:feb4117d16d8 137 /*
madcowswe 0:feb4117d16d8 138 * Defines a macro for specializing/defining
madcowswe 0:feb4117d16d8 139 * the promotion traits. bool, char, unsigned char, short int, etc. will
madcowswe 0:feb4117d16d8 140 * be autopromote to int, as in C and C++.
madcowswe 0:feb4117d16d8 141 */
madcowswe 0:feb4117d16d8 142 #define TVMET_AUTOPROMOTE(T1,T2) \
madcowswe 0:feb4117d16d8 143 template<> \
madcowswe 0:feb4117d16d8 144 struct AutopromoteTraits<T1> { \
madcowswe 0:feb4117d16d8 145 typedef T2 value_type; \
madcowswe 0:feb4117d16d8 146 };
madcowswe 0:feb4117d16d8 147
madcowswe 0:feb4117d16d8 148 TVMET_AUTOPROMOTE(bool, int)
madcowswe 0:feb4117d16d8 149 TVMET_AUTOPROMOTE(char, int)
madcowswe 0:feb4117d16d8 150 TVMET_AUTOPROMOTE(unsigned char, int)
madcowswe 0:feb4117d16d8 151 TVMET_AUTOPROMOTE(short int, int)
madcowswe 0:feb4117d16d8 152 TVMET_AUTOPROMOTE(short unsigned int, unsigned int)
madcowswe 0:feb4117d16d8 153
madcowswe 0:feb4117d16d8 154 /** \class AutopromoteTraits<bool> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 155 /** \class AutopromoteTraits<char> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 156 /** \class AutopromoteTraits<unsigned char> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 157 /** \class AutopromoteTraits<short int> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 158 /** \class AutopromoteTraits<short unsigned int> TypePromotion.h "tvmet/TypePromotion.h" */
madcowswe 0:feb4117d16d8 159
madcowswe 0:feb4117d16d8 160 #undef TVMET_AUTOPROMOTE
madcowswe 0:feb4117d16d8 161
madcowswe 0:feb4117d16d8 162
madcowswe 0:feb4117d16d8 163 /**
madcowswe 0:feb4117d16d8 164 * \class promoteTo TypePromotion.h "tvmet/TypePromotion.h"
madcowswe 0:feb4117d16d8 165 * \brief Promote to T1.
madcowswe 0:feb4117d16d8 166 */
madcowswe 0:feb4117d16d8 167 template<class T1, class T2, int promoteToT1>
madcowswe 0:feb4117d16d8 168 struct promoteTo {
madcowswe 0:feb4117d16d8 169 typedef T1 value_type;
madcowswe 0:feb4117d16d8 170 };
madcowswe 0:feb4117d16d8 171
madcowswe 0:feb4117d16d8 172
madcowswe 0:feb4117d16d8 173 /**
madcowswe 0:feb4117d16d8 174 * \class promoteTo<T1,T2,0> TypePromotion.h "tvmet/TypePromotion.h"
madcowswe 0:feb4117d16d8 175 * \brief Promote to T2
madcowswe 0:feb4117d16d8 176 */
madcowswe 0:feb4117d16d8 177 template<class T1, class T2>
madcowswe 0:feb4117d16d8 178 struct promoteTo<T1,T2,0> {
madcowswe 0:feb4117d16d8 179 typedef T2 value_type;
madcowswe 0:feb4117d16d8 180 };
madcowswe 0:feb4117d16d8 181
madcowswe 0:feb4117d16d8 182
madcowswe 0:feb4117d16d8 183 /**
madcowswe 0:feb4117d16d8 184 * \class PromoteTraits TypePromotion.h "tvmet/TypePromotion.h"
madcowswe 0:feb4117d16d8 185 * \brief Promote type traits
madcowswe 0:feb4117d16d8 186 */
madcowswe 0:feb4117d16d8 187 template<class T1org, class T2org>
madcowswe 0:feb4117d16d8 188 class PromoteTraits {
madcowswe 0:feb4117d16d8 189 // Handle promotion of small integers to int/unsigned int
madcowswe 0:feb4117d16d8 190 typedef typename AutopromoteTraits<T1org>::value_type T1;
madcowswe 0:feb4117d16d8 191 typedef typename AutopromoteTraits<T2org>::value_type T2;
madcowswe 0:feb4117d16d8 192
madcowswe 0:feb4117d16d8 193 enum {
madcowswe 0:feb4117d16d8 194 // True if T1 is higher ranked
madcowswe 0:feb4117d16d8 195 T1IsBetter = int(PrecisionTraits<T1>::rank) > int(PrecisionTraits<T2>::rank),
madcowswe 0:feb4117d16d8 196
madcowswe 0:feb4117d16d8 197 // True if we know ranks for both T1 and T2
madcowswe 0:feb4117d16d8 198 knowBothRanks = PrecisionTraits<T1>::known && PrecisionTraits<T2>::known,
madcowswe 0:feb4117d16d8 199
madcowswe 0:feb4117d16d8 200 // True if we know T1 but not T2
madcowswe 0:feb4117d16d8 201 knowT1butNotT2 = PrecisionTraits<T1>::known && !(PrecisionTraits<T2>::known),
madcowswe 0:feb4117d16d8 202
madcowswe 0:feb4117d16d8 203 // True if we know T2 but not T1
madcowswe 0:feb4117d16d8 204 knowT2butNotT1 = PrecisionTraits<T2>::known && !(PrecisionTraits<T1>::known),
madcowswe 0:feb4117d16d8 205
madcowswe 0:feb4117d16d8 206 // True if T1 is bigger than T2
madcowswe 0:feb4117d16d8 207 T1IsLarger = sizeof(T1) >= sizeof(T2),
madcowswe 0:feb4117d16d8 208
madcowswe 0:feb4117d16d8 209 // We know T1 but not T2: true
madcowswe 0:feb4117d16d8 210 // We know T2 but not T1: false
madcowswe 0:feb4117d16d8 211 // Otherwise, if T1 is bigger than T2: true
madcowswe 0:feb4117d16d8 212 defaultPromotion = knowT1butNotT2 ? false : (knowT2butNotT1 ? true : T1IsLarger),
madcowswe 0:feb4117d16d8 213
madcowswe 0:feb4117d16d8 214 // If we have both ranks, then use them.
madcowswe 0:feb4117d16d8 215 // If we have only one rank, then use the unknown type.
madcowswe 0:feb4117d16d8 216 // If we have neither rank, then promote to the larger type.
madcowswe 0:feb4117d16d8 217 promoteToT1 = (knowBothRanks ? T1IsBetter : defaultPromotion) ? 1 : 0
madcowswe 0:feb4117d16d8 218 };
madcowswe 0:feb4117d16d8 219
madcowswe 0:feb4117d16d8 220 public:
madcowswe 0:feb4117d16d8 221 typedef typename promoteTo<T1,T2,promoteToT1>::value_type value_type;
madcowswe 0:feb4117d16d8 222 };
madcowswe 0:feb4117d16d8 223
madcowswe 0:feb4117d16d8 224
madcowswe 0:feb4117d16d8 225 } // namespace tvmet
madcowswe 0:feb4117d16d8 226
madcowswe 0:feb4117d16d8 227 #endif // TVMET_TYPE_PROMOTION_H
madcowswe 0:feb4117d16d8 228
madcowswe 0:feb4117d16d8 229 // Local Variables:
madcowswe 0:feb4117d16d8 230 // mode:C++
madcowswe 0:feb4117d16d8 231 // tab-width:8
madcowswe 0:feb4117d16d8 232 // End: