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

        

Who changed what in which revision?

UserRevisionLine numberNew contents of line
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: MatrixFunctions.h,v 1.44 2007-06-23 15:59:00 opetzold Exp $
madcowswe 0:feb4117d16d8 22 */
madcowswe 0:feb4117d16d8 23
madcowswe 0:feb4117d16d8 24 #ifndef TVMET_XPR_MATRIX_FUNCTIONS_H
madcowswe 0:feb4117d16d8 25 #define TVMET_XPR_MATRIX_FUNCTIONS_H
madcowswe 0:feb4117d16d8 26
madcowswe 0:feb4117d16d8 27 namespace tvmet {
madcowswe 0:feb4117d16d8 28
madcowswe 0:feb4117d16d8 29
madcowswe 0:feb4117d16d8 30 /* forwards */
madcowswe 0:feb4117d16d8 31 template<class T, std::size_t Rows, std::size_t Cols> class Matrix;
madcowswe 0:feb4117d16d8 32 template<class T, std::size_t Sz> class Vector;
madcowswe 0:feb4117d16d8 33 template<class E, std::size_t Sz> class XprVector;
madcowswe 0:feb4117d16d8 34 template<class E> class XprMatrixTranspose;
madcowswe 0:feb4117d16d8 35 template<class E, std::size_t Sz> class XprMatrixDiag;
madcowswe 0:feb4117d16d8 36 template<class E, std::size_t Rows, std::size_t Cols> class XprMatrixRow;
madcowswe 0:feb4117d16d8 37 template<class E, std::size_t Rows, std::size_t Cols> class XprMatrixCol;
madcowswe 0:feb4117d16d8 38
madcowswe 0:feb4117d16d8 39
madcowswe 0:feb4117d16d8 40 /*********************************************************
madcowswe 0:feb4117d16d8 41 * PART I: DECLARATION
madcowswe 0:feb4117d16d8 42 *********************************************************/
madcowswe 0:feb4117d16d8 43
madcowswe 0:feb4117d16d8 44
madcowswe 0:feb4117d16d8 45 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 46 * Matrix arithmetic functions add, sub, mul and div
madcowswe 0:feb4117d16d8 47 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 48
madcowswe 0:feb4117d16d8 49
madcowswe 0:feb4117d16d8 50 /*
madcowswe 0:feb4117d16d8 51 * function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>)
madcowswe 0:feb4117d16d8 52 */
madcowswe 0:feb4117d16d8 53 #define TVMET_DECLARE_MACRO(NAME) \
madcowswe 0:feb4117d16d8 54 template<class E1, class E2, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 55 XprMatrix< \
madcowswe 0:feb4117d16d8 56 XprBinOp< \
madcowswe 0:feb4117d16d8 57 Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \
madcowswe 0:feb4117d16d8 58 XprMatrix<E1, Rows, Cols>, \
madcowswe 0:feb4117d16d8 59 XprMatrix<E2, Rows, Cols> \
madcowswe 0:feb4117d16d8 60 >, \
madcowswe 0:feb4117d16d8 61 Rows, Cols \
madcowswe 0:feb4117d16d8 62 > \
madcowswe 0:feb4117d16d8 63 NAME (const XprMatrix<E1, Rows, Cols>& lhs, \
madcowswe 0:feb4117d16d8 64 const XprMatrix<E2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 65
madcowswe 0:feb4117d16d8 66 TVMET_DECLARE_MACRO(add) // per se element wise
madcowswe 0:feb4117d16d8 67 TVMET_DECLARE_MACRO(sub) // per se element wise
madcowswe 0:feb4117d16d8 68 namespace element_wise {
madcowswe 0:feb4117d16d8 69 TVMET_DECLARE_MACRO(mul) // not defined for matrizes
madcowswe 0:feb4117d16d8 70 TVMET_DECLARE_MACRO(div) // not defined for matrizes
madcowswe 0:feb4117d16d8 71 }
madcowswe 0:feb4117d16d8 72
madcowswe 0:feb4117d16d8 73 #undef TVMET_DECLARE_MACRO
madcowswe 0:feb4117d16d8 74
madcowswe 0:feb4117d16d8 75
madcowswe 0:feb4117d16d8 76 /*
madcowswe 0:feb4117d16d8 77 * function(XprMatrix<E, Rows, Cols>, POD)
madcowswe 0:feb4117d16d8 78 * function(POD, XprMatrix<E, Rows, Cols>)
madcowswe 0:feb4117d16d8 79 * Note: - operations +,-,*,/ are per se element wise
madcowswe 0:feb4117d16d8 80 */
madcowswe 0:feb4117d16d8 81 #define TVMET_DECLARE_MACRO(NAME, POD) \
madcowswe 0:feb4117d16d8 82 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 83 XprMatrix< \
madcowswe 0:feb4117d16d8 84 XprBinOp< \
madcowswe 0:feb4117d16d8 85 Fcnl_##NAME<typename E::value_type, POD >, \
madcowswe 0:feb4117d16d8 86 XprMatrix<E, Rows, Cols>, \
madcowswe 0:feb4117d16d8 87 XprLiteral< POD > \
madcowswe 0:feb4117d16d8 88 >, \
madcowswe 0:feb4117d16d8 89 Rows, Cols \
madcowswe 0:feb4117d16d8 90 > \
madcowswe 0:feb4117d16d8 91 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
madcowswe 0:feb4117d16d8 92 POD rhs) TVMET_CXX_ALWAYS_INLINE; \
madcowswe 0:feb4117d16d8 93 \
madcowswe 0:feb4117d16d8 94 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 95 XprMatrix< \
madcowswe 0:feb4117d16d8 96 XprBinOp< \
madcowswe 0:feb4117d16d8 97 Fcnl_##NAME< POD, typename E::value_type>, \
madcowswe 0:feb4117d16d8 98 XprLiteral< POD >, \
madcowswe 0:feb4117d16d8 99 XprMatrix<E, Rows, Cols> \
madcowswe 0:feb4117d16d8 100 >, \
madcowswe 0:feb4117d16d8 101 Rows, Cols \
madcowswe 0:feb4117d16d8 102 > \
madcowswe 0:feb4117d16d8 103 NAME (POD lhs, \
madcowswe 0:feb4117d16d8 104 const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 105
madcowswe 0:feb4117d16d8 106 TVMET_DECLARE_MACRO(add, int)
madcowswe 0:feb4117d16d8 107 TVMET_DECLARE_MACRO(sub, int)
madcowswe 0:feb4117d16d8 108 TVMET_DECLARE_MACRO(mul, int)
madcowswe 0:feb4117d16d8 109 TVMET_DECLARE_MACRO(div, int)
madcowswe 0:feb4117d16d8 110
madcowswe 0:feb4117d16d8 111 #if defined(TVMET_HAVE_LONG_LONG)
madcowswe 0:feb4117d16d8 112 TVMET_DECLARE_MACRO(add, long long int)
madcowswe 0:feb4117d16d8 113 TVMET_DECLARE_MACRO(sub, long long int)
madcowswe 0:feb4117d16d8 114 TVMET_DECLARE_MACRO(mul, long long int)
madcowswe 0:feb4117d16d8 115 TVMET_DECLARE_MACRO(div, long long int)
madcowswe 0:feb4117d16d8 116 #endif
madcowswe 0:feb4117d16d8 117
madcowswe 0:feb4117d16d8 118 TVMET_DECLARE_MACRO(add, float)
madcowswe 0:feb4117d16d8 119 TVMET_DECLARE_MACRO(sub, float)
madcowswe 0:feb4117d16d8 120 TVMET_DECLARE_MACRO(mul, float)
madcowswe 0:feb4117d16d8 121 TVMET_DECLARE_MACRO(div, float)
madcowswe 0:feb4117d16d8 122
madcowswe 0:feb4117d16d8 123 TVMET_DECLARE_MACRO(add, double)
madcowswe 0:feb4117d16d8 124 TVMET_DECLARE_MACRO(sub, double)
madcowswe 0:feb4117d16d8 125 TVMET_DECLARE_MACRO(mul, double)
madcowswe 0:feb4117d16d8 126 TVMET_DECLARE_MACRO(div, double)
madcowswe 0:feb4117d16d8 127
madcowswe 0:feb4117d16d8 128 #if defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 0:feb4117d16d8 129 TVMET_DECLARE_MACRO(add, long double)
madcowswe 0:feb4117d16d8 130 TVMET_DECLARE_MACRO(sub, long double)
madcowswe 0:feb4117d16d8 131 TVMET_DECLARE_MACRO(mul, long double)
madcowswe 0:feb4117d16d8 132 TVMET_DECLARE_MACRO(div, long double)
madcowswe 0:feb4117d16d8 133 #endif
madcowswe 0:feb4117d16d8 134
madcowswe 0:feb4117d16d8 135 #undef TVMET_DECLARE_MACRO
madcowswe 0:feb4117d16d8 136
madcowswe 0:feb4117d16d8 137
madcowswe 0:feb4117d16d8 138 #if defined(TVMET_HAVE_COMPLEX)
madcowswe 0:feb4117d16d8 139 /*
madcowswe 0:feb4117d16d8 140 * function(XprMatrix<E, Rows, Cols>, complex<T>)
madcowswe 0:feb4117d16d8 141 * function(complex<T>, XprMatrix<E, Rows, Cols>)
madcowswe 0:feb4117d16d8 142 * Note: - operations +,-,*,/ are per se element wise
madcowswe 0:feb4117d16d8 143 * \todo type promotion
madcowswe 0:feb4117d16d8 144 */
madcowswe 0:feb4117d16d8 145 #define TVMET_DECLARE_MACRO(NAME) \
madcowswe 0:feb4117d16d8 146 template<class E, class T, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 147 XprMatrix< \
madcowswe 0:feb4117d16d8 148 XprBinOp< \
madcowswe 0:feb4117d16d8 149 Fcnl_##NAME<typename E::value_type, std::complex<T> >, \
madcowswe 0:feb4117d16d8 150 XprMatrix<E, Rows, Cols>, \
madcowswe 0:feb4117d16d8 151 XprLiteral< std::complex<T> > \
madcowswe 0:feb4117d16d8 152 >, \
madcowswe 0:feb4117d16d8 153 Rows, Cols \
madcowswe 0:feb4117d16d8 154 > \
madcowswe 0:feb4117d16d8 155 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
madcowswe 0:feb4117d16d8 156 const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \
madcowswe 0:feb4117d16d8 157 \
madcowswe 0:feb4117d16d8 158 template<class T, class E, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 159 XprMatrix< \
madcowswe 0:feb4117d16d8 160 XprBinOp< \
madcowswe 0:feb4117d16d8 161 Fcnl_##NAME< std::complex<T>, typename E::value_type>, \
madcowswe 0:feb4117d16d8 162 XprLiteral< std::complex<T> >, \
madcowswe 0:feb4117d16d8 163 XprMatrix<E, Rows, Cols> \
madcowswe 0:feb4117d16d8 164 >, \
madcowswe 0:feb4117d16d8 165 Rows, Cols \
madcowswe 0:feb4117d16d8 166 > \
madcowswe 0:feb4117d16d8 167 NAME (const std::complex<T>& lhs, \
madcowswe 0:feb4117d16d8 168 const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 169
madcowswe 0:feb4117d16d8 170 TVMET_DECLARE_MACRO(add)
madcowswe 0:feb4117d16d8 171 TVMET_DECLARE_MACRO(sub)
madcowswe 0:feb4117d16d8 172 TVMET_DECLARE_MACRO(mul)
madcowswe 0:feb4117d16d8 173 TVMET_DECLARE_MACRO(div)
madcowswe 0:feb4117d16d8 174
madcowswe 0:feb4117d16d8 175 #undef TVMET_DECLARE_MACRO
madcowswe 0:feb4117d16d8 176
madcowswe 0:feb4117d16d8 177 #endif // defined(TVMET_HAVE_COMPLEX)
madcowswe 0:feb4117d16d8 178
madcowswe 0:feb4117d16d8 179
madcowswe 0:feb4117d16d8 180 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 181 * matrix prod( ... ) functions
madcowswe 0:feb4117d16d8 182 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 183
madcowswe 0:feb4117d16d8 184
madcowswe 0:feb4117d16d8 185 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 186 class E2, std::size_t Cols2>
madcowswe 0:feb4117d16d8 187 XprMatrix<
madcowswe 0:feb4117d16d8 188 XprMMProduct<
madcowswe 0:feb4117d16d8 189 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 190 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 0:feb4117d16d8 191 >,
madcowswe 0:feb4117d16d8 192 Rows1, Cols2 // return Dim
madcowswe 0:feb4117d16d8 193 >
madcowswe 0:feb4117d16d8 194 prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 0:feb4117d16d8 195 const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 196
madcowswe 0:feb4117d16d8 197
madcowswe 0:feb4117d16d8 198 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 199 class E2, std::size_t Cols2>
madcowswe 0:feb4117d16d8 200 XprMatrix<
madcowswe 0:feb4117d16d8 201 XprMMProductTransposed<
madcowswe 0:feb4117d16d8 202 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 203 XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
madcowswe 0:feb4117d16d8 204 >,
madcowswe 0:feb4117d16d8 205 Cols2, Rows1 // return Dim
madcowswe 0:feb4117d16d8 206 >
madcowswe 0:feb4117d16d8 207 trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 0:feb4117d16d8 208 const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 209
madcowswe 0:feb4117d16d8 210
madcowswe 0:feb4117d16d8 211 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 212 class E2, std::size_t Cols2> // Rows2 = Rows1
madcowswe 0:feb4117d16d8 213 XprMatrix<
madcowswe 0:feb4117d16d8 214 XprMtMProduct<
madcowswe 0:feb4117d16d8 215 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 216 XprMatrix<E2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2)
madcowswe 0:feb4117d16d8 217 >,
madcowswe 0:feb4117d16d8 218 Cols1, Cols2 // return Dim
madcowswe 0:feb4117d16d8 219 >
madcowswe 0:feb4117d16d8 220 MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 0:feb4117d16d8 221 const XprMatrix<E2, Rows1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 222
madcowswe 0:feb4117d16d8 223
madcowswe 0:feb4117d16d8 224 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 225 class E2, std::size_t Rows2> // Cols2 = Cols1
madcowswe 0:feb4117d16d8 226 XprMatrix<
madcowswe 0:feb4117d16d8 227 XprMMtProduct<
madcowswe 0:feb4117d16d8 228 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 229 XprMatrix<E2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1)
madcowswe 0:feb4117d16d8 230 >,
madcowswe 0:feb4117d16d8 231 Rows1, Rows2 // return Dim
madcowswe 0:feb4117d16d8 232 >
madcowswe 0:feb4117d16d8 233 MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 0:feb4117d16d8 234 const XprMatrix<E2, Rows2, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 235
madcowswe 0:feb4117d16d8 236
madcowswe 0:feb4117d16d8 237 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 238 * matrix-vector specific prod( ... ) functions
madcowswe 0:feb4117d16d8 239 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 240
madcowswe 0:feb4117d16d8 241
madcowswe 0:feb4117d16d8 242 template<class E1, std::size_t Rows, std::size_t Cols,
madcowswe 0:feb4117d16d8 243 class E2>
madcowswe 0:feb4117d16d8 244 XprVector<
madcowswe 0:feb4117d16d8 245 XprMVProduct<
madcowswe 0:feb4117d16d8 246 XprMatrix<E1, Rows, Cols>, Rows, Cols,
madcowswe 0:feb4117d16d8 247 XprVector<E2, Cols>
madcowswe 0:feb4117d16d8 248 >,
madcowswe 0:feb4117d16d8 249 Rows
madcowswe 0:feb4117d16d8 250 >
madcowswe 0:feb4117d16d8 251 prod(const XprMatrix<E1, Rows, Cols>& lhs,
madcowswe 0:feb4117d16d8 252 const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 253
madcowswe 0:feb4117d16d8 254
madcowswe 0:feb4117d16d8 255 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 256 * matrix specific functions
madcowswe 0:feb4117d16d8 257 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 258
madcowswe 0:feb4117d16d8 259
madcowswe 0:feb4117d16d8 260 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 0:feb4117d16d8 261 XprMatrix<
madcowswe 0:feb4117d16d8 262 XprMatrixTranspose<
madcowswe 0:feb4117d16d8 263 XprMatrix<E, Rows, Cols>
madcowswe 0:feb4117d16d8 264 >,
madcowswe 0:feb4117d16d8 265 Cols, Rows
madcowswe 0:feb4117d16d8 266 >
madcowswe 0:feb4117d16d8 267 trans(const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 268
madcowswe 0:feb4117d16d8 269
madcowswe 0:feb4117d16d8 270 template<class E, std::size_t Sz>
madcowswe 0:feb4117d16d8 271 typename NumericTraits<typename E::value_type>::sum_type
madcowswe 0:feb4117d16d8 272 trace(const XprMatrix<E, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 273
madcowswe 0:feb4117d16d8 274
madcowswe 0:feb4117d16d8 275 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 0:feb4117d16d8 276 XprVector<
madcowswe 0:feb4117d16d8 277 XprMatrixRow<
madcowswe 0:feb4117d16d8 278 XprMatrix<E, Rows, Cols>,
madcowswe 0:feb4117d16d8 279 Rows, Cols
madcowswe 0:feb4117d16d8 280 >,
madcowswe 0:feb4117d16d8 281 Cols
madcowswe 0:feb4117d16d8 282 >
madcowswe 0:feb4117d16d8 283 row(const XprMatrix<E, Rows, Cols>& m,
madcowswe 0:feb4117d16d8 284 std::size_t no) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 285
madcowswe 0:feb4117d16d8 286
madcowswe 0:feb4117d16d8 287 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 0:feb4117d16d8 288 XprVector<
madcowswe 0:feb4117d16d8 289 XprMatrixCol<
madcowswe 0:feb4117d16d8 290 XprMatrix<E, Rows, Cols>,
madcowswe 0:feb4117d16d8 291 Rows, Cols
madcowswe 0:feb4117d16d8 292 >,
madcowswe 0:feb4117d16d8 293 Rows
madcowswe 0:feb4117d16d8 294 >
madcowswe 0:feb4117d16d8 295 col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 296
madcowswe 0:feb4117d16d8 297
madcowswe 0:feb4117d16d8 298 template<class E, std::size_t Sz>
madcowswe 0:feb4117d16d8 299 XprVector<
madcowswe 0:feb4117d16d8 300 XprMatrixDiag<
madcowswe 0:feb4117d16d8 301 XprMatrix<E, Sz, Sz>,
madcowswe 0:feb4117d16d8 302 Sz
madcowswe 0:feb4117d16d8 303 >,
madcowswe 0:feb4117d16d8 304 Sz
madcowswe 0:feb4117d16d8 305 >
madcowswe 0:feb4117d16d8 306 diag(const XprMatrix<E, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE;
madcowswe 0:feb4117d16d8 307
madcowswe 0:feb4117d16d8 308
madcowswe 0:feb4117d16d8 309 /*********************************************************
madcowswe 0:feb4117d16d8 310 * PART II: IMPLEMENTATION
madcowswe 0:feb4117d16d8 311 *********************************************************/
madcowswe 0:feb4117d16d8 312
madcowswe 0:feb4117d16d8 313
madcowswe 0:feb4117d16d8 314 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 315 * Matrix arithmetic functions add, sub, mul and div
madcowswe 0:feb4117d16d8 316 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 317
madcowswe 0:feb4117d16d8 318
madcowswe 0:feb4117d16d8 319 /*
madcowswe 0:feb4117d16d8 320 * function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>)
madcowswe 0:feb4117d16d8 321 */
madcowswe 0:feb4117d16d8 322 #define TVMET_IMPLEMENT_MACRO(NAME) \
madcowswe 0:feb4117d16d8 323 template<class E1, class E2, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 324 inline \
madcowswe 0:feb4117d16d8 325 XprMatrix< \
madcowswe 0:feb4117d16d8 326 XprBinOp< \
madcowswe 0:feb4117d16d8 327 Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \
madcowswe 0:feb4117d16d8 328 XprMatrix<E1, Rows, Cols>, \
madcowswe 0:feb4117d16d8 329 XprMatrix<E2, Rows, Cols> \
madcowswe 0:feb4117d16d8 330 >, \
madcowswe 0:feb4117d16d8 331 Rows, Cols \
madcowswe 0:feb4117d16d8 332 > \
madcowswe 0:feb4117d16d8 333 NAME (const XprMatrix<E1, Rows, Cols>& lhs, \
madcowswe 0:feb4117d16d8 334 const XprMatrix<E2, Rows, Cols>& rhs) { \
madcowswe 0:feb4117d16d8 335 typedef XprBinOp< \
madcowswe 0:feb4117d16d8 336 Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \
madcowswe 0:feb4117d16d8 337 XprMatrix<E1, Rows, Cols>, \
madcowswe 0:feb4117d16d8 338 XprMatrix<E2, Rows, Cols> \
madcowswe 0:feb4117d16d8 339 > expr_type; \
madcowswe 0:feb4117d16d8 340 return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs, rhs)); \
madcowswe 0:feb4117d16d8 341 }
madcowswe 0:feb4117d16d8 342
madcowswe 0:feb4117d16d8 343 TVMET_IMPLEMENT_MACRO(add) // per se element wise
madcowswe 0:feb4117d16d8 344 TVMET_IMPLEMENT_MACRO(sub) // per se element wise
madcowswe 0:feb4117d16d8 345 namespace element_wise {
madcowswe 0:feb4117d16d8 346 TVMET_IMPLEMENT_MACRO(mul) // not defined for matrizes
madcowswe 0:feb4117d16d8 347 TVMET_IMPLEMENT_MACRO(div) // not defined for matrizes
madcowswe 0:feb4117d16d8 348 }
madcowswe 0:feb4117d16d8 349
madcowswe 0:feb4117d16d8 350 #undef TVMET_IMPLEMENT_MACRO
madcowswe 0:feb4117d16d8 351
madcowswe 0:feb4117d16d8 352
madcowswe 0:feb4117d16d8 353 /*
madcowswe 0:feb4117d16d8 354 * function(XprMatrix<E, Rows, Cols>, POD)
madcowswe 0:feb4117d16d8 355 * function(POD, XprMatrix<E, Rows, Cols>)
madcowswe 0:feb4117d16d8 356 * Note: - operations +,-,*,/ are per se element wise
madcowswe 0:feb4117d16d8 357 */
madcowswe 0:feb4117d16d8 358 #define TVMET_IMPLEMENT_MACRO(NAME, POD) \
madcowswe 0:feb4117d16d8 359 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 360 inline \
madcowswe 0:feb4117d16d8 361 XprMatrix< \
madcowswe 0:feb4117d16d8 362 XprBinOp< \
madcowswe 0:feb4117d16d8 363 Fcnl_##NAME<typename E::value_type, POD >, \
madcowswe 0:feb4117d16d8 364 XprMatrix<E, Rows, Cols>, \
madcowswe 0:feb4117d16d8 365 XprLiteral< POD > \
madcowswe 0:feb4117d16d8 366 >, \
madcowswe 0:feb4117d16d8 367 Rows, Cols \
madcowswe 0:feb4117d16d8 368 > \
madcowswe 0:feb4117d16d8 369 NAME (const XprMatrix<E, Rows, Cols>& lhs, POD rhs) { \
madcowswe 0:feb4117d16d8 370 typedef XprBinOp< \
madcowswe 0:feb4117d16d8 371 Fcnl_##NAME<typename E::value_type, POD >, \
madcowswe 0:feb4117d16d8 372 XprMatrix<E, Rows, Cols>, \
madcowswe 0:feb4117d16d8 373 XprLiteral< POD > \
madcowswe 0:feb4117d16d8 374 > expr_type; \
madcowswe 0:feb4117d16d8 375 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 0:feb4117d16d8 376 expr_type(lhs, XprLiteral< POD >(rhs))); \
madcowswe 0:feb4117d16d8 377 } \
madcowswe 0:feb4117d16d8 378 \
madcowswe 0:feb4117d16d8 379 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 380 inline \
madcowswe 0:feb4117d16d8 381 XprMatrix< \
madcowswe 0:feb4117d16d8 382 XprBinOp< \
madcowswe 0:feb4117d16d8 383 Fcnl_##NAME< POD, typename E::value_type>, \
madcowswe 0:feb4117d16d8 384 XprLiteral< POD >, \
madcowswe 0:feb4117d16d8 385 XprMatrix<E, Rows, Cols> \
madcowswe 0:feb4117d16d8 386 >, \
madcowswe 0:feb4117d16d8 387 Rows, Cols \
madcowswe 0:feb4117d16d8 388 > \
madcowswe 0:feb4117d16d8 389 NAME (POD lhs, const XprMatrix<E, Rows, Cols>& rhs) { \
madcowswe 0:feb4117d16d8 390 typedef XprBinOp< \
madcowswe 0:feb4117d16d8 391 Fcnl_##NAME< POD, typename E::value_type>, \
madcowswe 0:feb4117d16d8 392 XprLiteral< POD >, \
madcowswe 0:feb4117d16d8 393 XprMatrix<E, Rows, Cols> \
madcowswe 0:feb4117d16d8 394 > expr_type; \
madcowswe 0:feb4117d16d8 395 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 0:feb4117d16d8 396 expr_type(XprLiteral< POD >(lhs), rhs)); \
madcowswe 0:feb4117d16d8 397 }
madcowswe 0:feb4117d16d8 398
madcowswe 0:feb4117d16d8 399 TVMET_IMPLEMENT_MACRO(add, int)
madcowswe 0:feb4117d16d8 400 TVMET_IMPLEMENT_MACRO(sub, int)
madcowswe 0:feb4117d16d8 401 TVMET_IMPLEMENT_MACRO(mul, int)
madcowswe 0:feb4117d16d8 402 TVMET_IMPLEMENT_MACRO(div, int)
madcowswe 0:feb4117d16d8 403
madcowswe 0:feb4117d16d8 404 #if defined(TVMET_HAVE_LONG_LONG)
madcowswe 0:feb4117d16d8 405 TVMET_IMPLEMENT_MACRO(add, long long int)
madcowswe 0:feb4117d16d8 406 TVMET_IMPLEMENT_MACRO(sub, long long int)
madcowswe 0:feb4117d16d8 407 TVMET_IMPLEMENT_MACRO(mul, long long int)
madcowswe 0:feb4117d16d8 408 TVMET_IMPLEMENT_MACRO(div, long long int)
madcowswe 0:feb4117d16d8 409 #endif
madcowswe 0:feb4117d16d8 410
madcowswe 0:feb4117d16d8 411 TVMET_IMPLEMENT_MACRO(add, float)
madcowswe 0:feb4117d16d8 412 TVMET_IMPLEMENT_MACRO(sub, float)
madcowswe 0:feb4117d16d8 413 TVMET_IMPLEMENT_MACRO(mul, float)
madcowswe 0:feb4117d16d8 414 TVMET_IMPLEMENT_MACRO(div, float)
madcowswe 0:feb4117d16d8 415
madcowswe 0:feb4117d16d8 416 TVMET_IMPLEMENT_MACRO(add, double)
madcowswe 0:feb4117d16d8 417 TVMET_IMPLEMENT_MACRO(sub, double)
madcowswe 0:feb4117d16d8 418 TVMET_IMPLEMENT_MACRO(mul, double)
madcowswe 0:feb4117d16d8 419 TVMET_IMPLEMENT_MACRO(div, double)
madcowswe 0:feb4117d16d8 420
madcowswe 0:feb4117d16d8 421 #if defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 0:feb4117d16d8 422 TVMET_IMPLEMENT_MACRO(add, long double)
madcowswe 0:feb4117d16d8 423 TVMET_IMPLEMENT_MACRO(sub, long double)
madcowswe 0:feb4117d16d8 424 TVMET_IMPLEMENT_MACRO(mul, long double)
madcowswe 0:feb4117d16d8 425 TVMET_IMPLEMENT_MACRO(div, long double)
madcowswe 0:feb4117d16d8 426 #endif
madcowswe 0:feb4117d16d8 427
madcowswe 0:feb4117d16d8 428 #undef TVMET_IMPLEMENT_MACRO
madcowswe 0:feb4117d16d8 429
madcowswe 0:feb4117d16d8 430
madcowswe 0:feb4117d16d8 431 #if defined(TVMET_HAVE_COMPLEX)
madcowswe 0:feb4117d16d8 432 /*
madcowswe 0:feb4117d16d8 433 * function(XprMatrix<E, Rows, Cols>, complex<T>)
madcowswe 0:feb4117d16d8 434 * function(complex<T>, XprMatrix<E, Rows, Cols>)
madcowswe 0:feb4117d16d8 435 * Note: - operations +,-,*,/ are per se element wise
madcowswe 0:feb4117d16d8 436 * \todo type promotion
madcowswe 0:feb4117d16d8 437 */
madcowswe 0:feb4117d16d8 438 #define TVMET_IMPLEMENT_MACRO(NAME) \
madcowswe 0:feb4117d16d8 439 template<class E, class T, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 440 inline \
madcowswe 0:feb4117d16d8 441 XprMatrix< \
madcowswe 0:feb4117d16d8 442 XprBinOp< \
madcowswe 0:feb4117d16d8 443 Fcnl_##NAME<typename E::value_type, std::complex<T> >, \
madcowswe 0:feb4117d16d8 444 XprMatrix<E, Rows, Cols>, \
madcowswe 0:feb4117d16d8 445 XprLiteral< std::complex<T> > \
madcowswe 0:feb4117d16d8 446 >, \
madcowswe 0:feb4117d16d8 447 Rows, Cols \
madcowswe 0:feb4117d16d8 448 > \
madcowswe 0:feb4117d16d8 449 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
madcowswe 0:feb4117d16d8 450 const std::complex<T>& rhs) { \
madcowswe 0:feb4117d16d8 451 typedef XprBinOp< \
madcowswe 0:feb4117d16d8 452 Fcnl_##NAME<typename E::value_type, std::complex<T> >, \
madcowswe 0:feb4117d16d8 453 XprMatrix<E, Rows, Cols>, \
madcowswe 0:feb4117d16d8 454 XprLiteral< std::complex<T> > \
madcowswe 0:feb4117d16d8 455 > expr_type; \
madcowswe 0:feb4117d16d8 456 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 0:feb4117d16d8 457 expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \
madcowswe 0:feb4117d16d8 458 } \
madcowswe 0:feb4117d16d8 459 \
madcowswe 0:feb4117d16d8 460 template<class T, class E, std::size_t Rows, std::size_t Cols> \
madcowswe 0:feb4117d16d8 461 inline \
madcowswe 0:feb4117d16d8 462 XprMatrix< \
madcowswe 0:feb4117d16d8 463 XprBinOp< \
madcowswe 0:feb4117d16d8 464 Fcnl_##NAME< std::complex<T>, typename E::value_type>, \
madcowswe 0:feb4117d16d8 465 XprLiteral< std::complex<T> >, \
madcowswe 0:feb4117d16d8 466 XprMatrix<E, Rows, Cols> \
madcowswe 0:feb4117d16d8 467 >, \
madcowswe 0:feb4117d16d8 468 Rows, Cols \
madcowswe 0:feb4117d16d8 469 > \
madcowswe 0:feb4117d16d8 470 NAME (const std::complex<T>& lhs, \
madcowswe 0:feb4117d16d8 471 const XprMatrix<E, Rows, Cols>& rhs) { \
madcowswe 0:feb4117d16d8 472 typedef XprBinOp< \
madcowswe 0:feb4117d16d8 473 Fcnl_##NAME< std::complex<T>, typename E::value_type>, \
madcowswe 0:feb4117d16d8 474 XprLiteral< std::complex<T> >, \
madcowswe 0:feb4117d16d8 475 XprMatrix<E, Rows, Cols> \
madcowswe 0:feb4117d16d8 476 > expr_type; \
madcowswe 0:feb4117d16d8 477 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 0:feb4117d16d8 478 expr_type(XprLiteral< std::complex<T> >(lhs), rhs)); \
madcowswe 0:feb4117d16d8 479 }
madcowswe 0:feb4117d16d8 480
madcowswe 0:feb4117d16d8 481 TVMET_IMPLEMENT_MACRO(add)
madcowswe 0:feb4117d16d8 482 TVMET_IMPLEMENT_MACRO(sub)
madcowswe 0:feb4117d16d8 483 TVMET_IMPLEMENT_MACRO(mul)
madcowswe 0:feb4117d16d8 484 TVMET_IMPLEMENT_MACRO(div)
madcowswe 0:feb4117d16d8 485
madcowswe 0:feb4117d16d8 486 #undef TVMET_IMPLEMENT_MACRO
madcowswe 0:feb4117d16d8 487
madcowswe 0:feb4117d16d8 488 #endif // defined(TVMET_HAVE_COMPLEX)
madcowswe 0:feb4117d16d8 489
madcowswe 0:feb4117d16d8 490
madcowswe 0:feb4117d16d8 491 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 492 * matrix prod( ... ) functions
madcowswe 0:feb4117d16d8 493 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 494
madcowswe 0:feb4117d16d8 495
madcowswe 0:feb4117d16d8 496 /**
madcowswe 0:feb4117d16d8 497 * \fn prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs)
madcowswe 0:feb4117d16d8 498 * \brief Evaluate the product of two XprMatrix.
madcowswe 0:feb4117d16d8 499 * Perform on given Matrix M1 and M2:
madcowswe 0:feb4117d16d8 500 * \f[
madcowswe 0:feb4117d16d8 501 * M_1\,M_2
madcowswe 0:feb4117d16d8 502 * \f]
madcowswe 0:feb4117d16d8 503 * \note The numer of Rows2 has to be equal to Cols1.
madcowswe 0:feb4117d16d8 504 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 505 */
madcowswe 0:feb4117d16d8 506 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 507 class E2, std::size_t Cols2>
madcowswe 0:feb4117d16d8 508 inline
madcowswe 0:feb4117d16d8 509 XprMatrix<
madcowswe 0:feb4117d16d8 510 XprMMProduct<
madcowswe 0:feb4117d16d8 511 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 512 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 0:feb4117d16d8 513 >,
madcowswe 0:feb4117d16d8 514 Rows1, Cols2 // return Dim
madcowswe 0:feb4117d16d8 515 >
madcowswe 0:feb4117d16d8 516 prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) {
madcowswe 0:feb4117d16d8 517 typedef XprMMProduct<
madcowswe 0:feb4117d16d8 518 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 0:feb4117d16d8 519 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 0:feb4117d16d8 520 > expr_type;
madcowswe 0:feb4117d16d8 521 return XprMatrix<expr_type, Rows1, Cols2>(expr_type(lhs, rhs));
madcowswe 0:feb4117d16d8 522 }
madcowswe 0:feb4117d16d8 523
madcowswe 0:feb4117d16d8 524
madcowswe 0:feb4117d16d8 525 /**
madcowswe 0:feb4117d16d8 526 * \fn trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs)
madcowswe 0:feb4117d16d8 527 * \brief Function for the trans(matrix-matrix-product)
madcowswe 0:feb4117d16d8 528 * Perform on given Matrix M1 and M2:
madcowswe 0:feb4117d16d8 529 * \f[
madcowswe 0:feb4117d16d8 530 * (M_1\,M_2)^T
madcowswe 0:feb4117d16d8 531 * \f]
madcowswe 0:feb4117d16d8 532 * \note The numer of Rows2 has to be equal to Cols1.
madcowswe 0:feb4117d16d8 533 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 534 */
madcowswe 0:feb4117d16d8 535 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 536 class E2, std::size_t Cols2>
madcowswe 0:feb4117d16d8 537 inline
madcowswe 0:feb4117d16d8 538 XprMatrix<
madcowswe 0:feb4117d16d8 539 XprMMProductTransposed<
madcowswe 0:feb4117d16d8 540 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 541 XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
madcowswe 0:feb4117d16d8 542 >,
madcowswe 0:feb4117d16d8 543 Cols2, Rows1 // return Dim
madcowswe 0:feb4117d16d8 544 >
madcowswe 0:feb4117d16d8 545 trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) {
madcowswe 0:feb4117d16d8 546 typedef XprMMProductTransposed<
madcowswe 0:feb4117d16d8 547 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 0:feb4117d16d8 548 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 0:feb4117d16d8 549 > expr_type;
madcowswe 0:feb4117d16d8 550 return XprMatrix<expr_type, Cols2, Rows1>(expr_type(lhs, rhs));
madcowswe 0:feb4117d16d8 551 }
madcowswe 0:feb4117d16d8 552
madcowswe 0:feb4117d16d8 553
madcowswe 0:feb4117d16d8 554 /**
madcowswe 0:feb4117d16d8 555 * \fn MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows1, Cols2>& rhs)
madcowswe 0:feb4117d16d8 556 * \brief Function for the trans(matrix)-matrix-product.
madcowswe 0:feb4117d16d8 557 * using formula
madcowswe 0:feb4117d16d8 558 * \f[
madcowswe 0:feb4117d16d8 559 * M_1^{T}\,M_2
madcowswe 0:feb4117d16d8 560 * \f]
madcowswe 0:feb4117d16d8 561 * \note The number of cols of matrix 2 have to be equal to number of rows of
madcowswe 0:feb4117d16d8 562 * matrix 1, since matrix 1 is trans - the result is a (Cols1 x Cols2)
madcowswe 0:feb4117d16d8 563 * matrix.
madcowswe 0:feb4117d16d8 564 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 565 */
madcowswe 0:feb4117d16d8 566 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 567 class E2, std::size_t Cols2> // Rows2 = Rows1
madcowswe 0:feb4117d16d8 568 inline
madcowswe 0:feb4117d16d8 569 XprMatrix<
madcowswe 0:feb4117d16d8 570 XprMtMProduct<
madcowswe 0:feb4117d16d8 571 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 572 XprMatrix<E2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2)
madcowswe 0:feb4117d16d8 573 >,
madcowswe 0:feb4117d16d8 574 Cols1, Cols2 // return Dim
madcowswe 0:feb4117d16d8 575 >
madcowswe 0:feb4117d16d8 576 MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows1, Cols2>& rhs) {
madcowswe 0:feb4117d16d8 577 typedef XprMtMProduct<
madcowswe 0:feb4117d16d8 578 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 0:feb4117d16d8 579 XprMatrix<E2, Rows1, Cols2>, Cols2
madcowswe 0:feb4117d16d8 580 > expr_type;
madcowswe 0:feb4117d16d8 581 return XprMatrix<expr_type, Cols1, Cols2>(expr_type(lhs, rhs));
madcowswe 0:feb4117d16d8 582 }
madcowswe 0:feb4117d16d8 583
madcowswe 0:feb4117d16d8 584
madcowswe 0:feb4117d16d8 585 /**
madcowswe 0:feb4117d16d8 586 * \fn MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows2, Cols1>& rhs)
madcowswe 0:feb4117d16d8 587 * \brief Function for the matrix-trans(matrix)-product.
madcowswe 0:feb4117d16d8 588 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 589 * \note The cols2 has to be equal to cols1.
madcowswe 0:feb4117d16d8 590 */
madcowswe 0:feb4117d16d8 591 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 0:feb4117d16d8 592 class E2, std::size_t Rows2> // Cols2 = Cols1
madcowswe 0:feb4117d16d8 593 inline
madcowswe 0:feb4117d16d8 594 XprMatrix<
madcowswe 0:feb4117d16d8 595 XprMMtProduct<
madcowswe 0:feb4117d16d8 596 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 0:feb4117d16d8 597 XprMatrix<E2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1)
madcowswe 0:feb4117d16d8 598 >,
madcowswe 0:feb4117d16d8 599 Rows1, Rows2 // return Dim
madcowswe 0:feb4117d16d8 600 >
madcowswe 0:feb4117d16d8 601 MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows2, Cols1>& rhs) {
madcowswe 0:feb4117d16d8 602 typedef XprMMtProduct<
madcowswe 0:feb4117d16d8 603 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 0:feb4117d16d8 604 XprMatrix<E2, Rows2, Cols1>, Cols1
madcowswe 0:feb4117d16d8 605 > expr_type;
madcowswe 0:feb4117d16d8 606 return XprMatrix<expr_type, Rows1, Rows2>(expr_type(lhs, rhs));
madcowswe 0:feb4117d16d8 607 }
madcowswe 0:feb4117d16d8 608
madcowswe 0:feb4117d16d8 609
madcowswe 0:feb4117d16d8 610 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 611 * matrix-vector specific prod( ... ) functions
madcowswe 0:feb4117d16d8 612 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 613
madcowswe 0:feb4117d16d8 614
madcowswe 0:feb4117d16d8 615 /**
madcowswe 0:feb4117d16d8 616 * \fn prod(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs)
madcowswe 0:feb4117d16d8 617 * \brief Evaluate the product of XprMatrix and XprVector.
madcowswe 0:feb4117d16d8 618 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 619 */
madcowswe 0:feb4117d16d8 620 template<class E1, std::size_t Rows, std::size_t Cols,
madcowswe 0:feb4117d16d8 621 class E2>
madcowswe 0:feb4117d16d8 622 inline
madcowswe 0:feb4117d16d8 623 XprVector<
madcowswe 0:feb4117d16d8 624 XprMVProduct<
madcowswe 0:feb4117d16d8 625 XprMatrix<E1, Rows, Cols>, Rows, Cols,
madcowswe 0:feb4117d16d8 626 XprVector<E2, Cols>
madcowswe 0:feb4117d16d8 627 >,
madcowswe 0:feb4117d16d8 628 Rows
madcowswe 0:feb4117d16d8 629 >
madcowswe 0:feb4117d16d8 630 prod(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) {
madcowswe 0:feb4117d16d8 631 typedef XprMVProduct<
madcowswe 0:feb4117d16d8 632 XprMatrix<E1, Rows, Cols>, Rows, Cols,
madcowswe 0:feb4117d16d8 633 XprVector<E2, Cols>
madcowswe 0:feb4117d16d8 634 > expr_type;
madcowswe 0:feb4117d16d8 635 return XprVector<expr_type, Rows>(expr_type(lhs, rhs));
madcowswe 0:feb4117d16d8 636 }
madcowswe 0:feb4117d16d8 637
madcowswe 0:feb4117d16d8 638
madcowswe 0:feb4117d16d8 639 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 0:feb4117d16d8 640 * matrix specific functions
madcowswe 0:feb4117d16d8 641 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 0:feb4117d16d8 642
madcowswe 0:feb4117d16d8 643
madcowswe 0:feb4117d16d8 644 /**
madcowswe 0:feb4117d16d8 645 * \fn trans(const XprMatrix<E, Rows, Cols>& rhs)
madcowswe 0:feb4117d16d8 646 * \brief Transpose an expression matrix.
madcowswe 0:feb4117d16d8 647 * \ingroup _unary_function
madcowswe 0:feb4117d16d8 648 */
madcowswe 0:feb4117d16d8 649 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 0:feb4117d16d8 650 inline
madcowswe 0:feb4117d16d8 651 XprMatrix<
madcowswe 0:feb4117d16d8 652 XprMatrixTranspose<
madcowswe 0:feb4117d16d8 653 XprMatrix<E, Rows, Cols>
madcowswe 0:feb4117d16d8 654 >,
madcowswe 0:feb4117d16d8 655 Cols, Rows
madcowswe 0:feb4117d16d8 656 >
madcowswe 0:feb4117d16d8 657 trans(const XprMatrix<E, Rows, Cols>& rhs) {
madcowswe 0:feb4117d16d8 658 typedef XprMatrixTranspose<
madcowswe 0:feb4117d16d8 659 XprMatrix<E, Rows, Cols>
madcowswe 0:feb4117d16d8 660 > expr_type;
madcowswe 0:feb4117d16d8 661 return XprMatrix<expr_type, Cols, Rows>(expr_type(rhs));
madcowswe 0:feb4117d16d8 662 }
madcowswe 0:feb4117d16d8 663
madcowswe 0:feb4117d16d8 664
madcowswe 0:feb4117d16d8 665 /*
madcowswe 0:feb4117d16d8 666 * \fn trace(const XprMatrix<E, Sz, Sz>& m)
madcowswe 0:feb4117d16d8 667 * \brief Compute the trace of a square matrix.
madcowswe 0:feb4117d16d8 668 * \ingroup _unary_function
madcowswe 0:feb4117d16d8 669 *
madcowswe 0:feb4117d16d8 670 * Simply compute the trace of the given matrix expression as:
madcowswe 0:feb4117d16d8 671 * \f[
madcowswe 0:feb4117d16d8 672 * \sum_{k = 0}^{Sz-1} m(k, k)
madcowswe 0:feb4117d16d8 673 * \f]
madcowswe 0:feb4117d16d8 674 */
madcowswe 0:feb4117d16d8 675 template<class E, std::size_t Sz>
madcowswe 0:feb4117d16d8 676 inline
madcowswe 0:feb4117d16d8 677 typename NumericTraits<typename E::value_type>::sum_type
madcowswe 0:feb4117d16d8 678 trace(const XprMatrix<E, Sz, Sz>& m) {
madcowswe 0:feb4117d16d8 679 return meta::Matrix<Sz, Sz, 0, 0>::trace(m);
madcowswe 0:feb4117d16d8 680 }
madcowswe 0:feb4117d16d8 681
madcowswe 0:feb4117d16d8 682
madcowswe 0:feb4117d16d8 683 /**
madcowswe 0:feb4117d16d8 684 * \fn row(const XprMatrix<E, Rows, Cols>& m, std::size_t no)
madcowswe 0:feb4117d16d8 685 * \brief Returns a row vector of the given matrix.
madcowswe 0:feb4117d16d8 686 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 687 */
madcowswe 0:feb4117d16d8 688 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 0:feb4117d16d8 689 inline
madcowswe 0:feb4117d16d8 690 XprVector<
madcowswe 0:feb4117d16d8 691 XprMatrixRow<
madcowswe 0:feb4117d16d8 692 XprMatrix<E, Rows, Cols>,
madcowswe 0:feb4117d16d8 693 Rows, Cols
madcowswe 0:feb4117d16d8 694 >,
madcowswe 0:feb4117d16d8 695 Cols
madcowswe 0:feb4117d16d8 696 >
madcowswe 0:feb4117d16d8 697 row(const XprMatrix<E, Rows, Cols>& m, std::size_t no) {
madcowswe 0:feb4117d16d8 698 typedef XprMatrixRow<
madcowswe 0:feb4117d16d8 699 XprMatrix<E, Rows, Cols>,
madcowswe 0:feb4117d16d8 700 Rows, Cols
madcowswe 0:feb4117d16d8 701 > expr_type;
madcowswe 0:feb4117d16d8 702
madcowswe 0:feb4117d16d8 703 return XprVector<expr_type, Cols>(expr_type(m, no));
madcowswe 0:feb4117d16d8 704 }
madcowswe 0:feb4117d16d8 705
madcowswe 0:feb4117d16d8 706
madcowswe 0:feb4117d16d8 707 /**
madcowswe 0:feb4117d16d8 708 * \fn col(const XprMatrix<E, Rows, Cols>& m, std::size_t no)
madcowswe 0:feb4117d16d8 709 * \brief Returns a column vector of the given matrix.
madcowswe 0:feb4117d16d8 710 * \ingroup _binary_function
madcowswe 0:feb4117d16d8 711 */
madcowswe 0:feb4117d16d8 712 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 0:feb4117d16d8 713 inline
madcowswe 0:feb4117d16d8 714 XprVector<
madcowswe 0:feb4117d16d8 715 XprMatrixCol<
madcowswe 0:feb4117d16d8 716 XprMatrix<E, Rows, Cols>,
madcowswe 0:feb4117d16d8 717 Rows, Cols
madcowswe 0:feb4117d16d8 718 >,
madcowswe 0:feb4117d16d8 719 Rows
madcowswe 0:feb4117d16d8 720 >
madcowswe 0:feb4117d16d8 721 col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) {
madcowswe 0:feb4117d16d8 722 typedef XprMatrixCol<
madcowswe 0:feb4117d16d8 723 XprMatrix<E, Rows, Cols>,
madcowswe 0:feb4117d16d8 724 Rows, Cols
madcowswe 0:feb4117d16d8 725 > expr_type;
madcowswe 0:feb4117d16d8 726
madcowswe 0:feb4117d16d8 727 return XprVector<expr_type, Cols>(expr_type(m, no));
madcowswe 0:feb4117d16d8 728 }
madcowswe 0:feb4117d16d8 729
madcowswe 0:feb4117d16d8 730
madcowswe 0:feb4117d16d8 731 /**
madcowswe 0:feb4117d16d8 732 * \fn diag(const XprMatrix<E, Sz, Sz>& m)
madcowswe 0:feb4117d16d8 733 * \brief Returns the diagonal vector of the given square matrix.
madcowswe 0:feb4117d16d8 734 * \ingroup _unary_function
madcowswe 0:feb4117d16d8 735 */
madcowswe 0:feb4117d16d8 736 template<class E, std::size_t Sz>
madcowswe 0:feb4117d16d8 737 inline
madcowswe 0:feb4117d16d8 738 XprVector<
madcowswe 0:feb4117d16d8 739 XprMatrixDiag<
madcowswe 0:feb4117d16d8 740 XprMatrix<E, Sz, Sz>,
madcowswe 0:feb4117d16d8 741 Sz
madcowswe 0:feb4117d16d8 742 >,
madcowswe 0:feb4117d16d8 743 Sz
madcowswe 0:feb4117d16d8 744 >
madcowswe 0:feb4117d16d8 745 diag(const XprMatrix<E, Sz, Sz>& m) {
madcowswe 0:feb4117d16d8 746 typedef XprMatrixDiag<
madcowswe 0:feb4117d16d8 747 XprMatrix<E, Sz, Sz>,
madcowswe 0:feb4117d16d8 748 Sz> expr_type;
madcowswe 0:feb4117d16d8 749
madcowswe 0:feb4117d16d8 750 return XprVector<expr_type, Sz>(expr_type(m));
madcowswe 0:feb4117d16d8 751 }
madcowswe 0:feb4117d16d8 752
madcowswe 0:feb4117d16d8 753
madcowswe 0:feb4117d16d8 754 } // namespace tvmet
madcowswe 0:feb4117d16d8 755
madcowswe 0:feb4117d16d8 756 #endif // TVMET_XPR_MATRIX_FUNCTIONS_H
madcowswe 0:feb4117d16d8 757
madcowswe 0:feb4117d16d8 758 // Local Variables:
madcowswe 0:feb4117d16d8 759 // mode:C++
madcowswe 0:feb4117d16d8 760 // tab-width:8
madcowswe 0:feb4117d16d8 761 // End: