Thomas Branch / Mbed 2 deprecated ICRSEurobot13

ICRS Eurobot 2013

Dependencies:   mbed mbed-rtos Servo QEI

tvmet/xpr/MatrixFunctions.h@20:70d651156779, 2013-04-09 (annotated)

Committer:
madcowswe
Date:
Tue Apr 09 15:33:36 2013 +0000
Revision:
20:70d651156779
Parent:
15:9c5aaeda36dc 
Predict loop running, update loop not done.

Who changed what in which revision?

UserRevisionLine numberNew contents of line
madcowswe 15:9c5aaeda36dc 1 /*
madcowswe 15:9c5aaeda36dc 2 * Tiny Vector Matrix Library
madcowswe 15:9c5aaeda36dc 3 * Dense Vector Matrix Libary of Tiny size using Expression Templates
madcowswe 15:9c5aaeda36dc 4 *
madcowswe 15:9c5aaeda36dc 5 * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net>
madcowswe 15:9c5aaeda36dc 6 *
madcowswe 15:9c5aaeda36dc 7 * This library is free software; you can redistribute it and/or
madcowswe 15:9c5aaeda36dc 8 * modify it under the terms of the GNU lesser General Public
madcowswe 15:9c5aaeda36dc 9 * License as published by the Free Software Foundation; either
madcowswe 15:9c5aaeda36dc 10 * version 2.1 of the License, or (at your option) any later version.
madcowswe 15:9c5aaeda36dc 11 *
madcowswe 15:9c5aaeda36dc 12 * This library is distributed in the hope that it will be useful,
madcowswe 15:9c5aaeda36dc 13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
madcowswe 15:9c5aaeda36dc 14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
madcowswe 15:9c5aaeda36dc 15 * lesser General Public License for more details.
madcowswe 15:9c5aaeda36dc 16 *
madcowswe 15:9c5aaeda36dc 17 * You should have received a copy of the GNU lesser General Public
madcowswe 15:9c5aaeda36dc 18 * License along with this library; if not, write to the Free Software
madcowswe 15:9c5aaeda36dc 19 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
madcowswe 15:9c5aaeda36dc 20 *
madcowswe 15:9c5aaeda36dc 21 * $Id: MatrixFunctions.h,v 1.44 2007-06-23 15:59:00 opetzold Exp $
madcowswe 15:9c5aaeda36dc 22 */
madcowswe 15:9c5aaeda36dc 23
madcowswe 15:9c5aaeda36dc 24 #ifndef TVMET_XPR_MATRIX_FUNCTIONS_H
madcowswe 15:9c5aaeda36dc 25 #define TVMET_XPR_MATRIX_FUNCTIONS_H
madcowswe 15:9c5aaeda36dc 26
madcowswe 15:9c5aaeda36dc 27 namespace tvmet {
madcowswe 15:9c5aaeda36dc 28
madcowswe 15:9c5aaeda36dc 29
madcowswe 15:9c5aaeda36dc 30 /* forwards */
madcowswe 15:9c5aaeda36dc 31 template<class T, std::size_t Rows, std::size_t Cols> class Matrix;
madcowswe 15:9c5aaeda36dc 32 template<class T, std::size_t Sz> class Vector;
madcowswe 15:9c5aaeda36dc 33 template<class E, std::size_t Sz> class XprVector;
madcowswe 15:9c5aaeda36dc 34 template<class E> class XprMatrixTranspose;
madcowswe 15:9c5aaeda36dc 35 template<class E, std::size_t Sz> class XprMatrixDiag;
madcowswe 15:9c5aaeda36dc 36 template<class E, std::size_t Rows, std::size_t Cols> class XprMatrixRow;
madcowswe 15:9c5aaeda36dc 37 template<class E, std::size_t Rows, std::size_t Cols> class XprMatrixCol;
madcowswe 15:9c5aaeda36dc 38
madcowswe 15:9c5aaeda36dc 39
madcowswe 15:9c5aaeda36dc 40 /*********************************************************
madcowswe 15:9c5aaeda36dc 41 * PART I: DECLARATION
madcowswe 15:9c5aaeda36dc 42 *********************************************************/
madcowswe 15:9c5aaeda36dc 43
madcowswe 15:9c5aaeda36dc 44
madcowswe 15:9c5aaeda36dc 45 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 46 * Matrix arithmetic functions add, sub, mul and div
madcowswe 15:9c5aaeda36dc 47 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 48
madcowswe 15:9c5aaeda36dc 49
madcowswe 15:9c5aaeda36dc 50 /*
madcowswe 15:9c5aaeda36dc 51 * function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>)
madcowswe 15:9c5aaeda36dc 52 */
madcowswe 15:9c5aaeda36dc 53 #define TVMET_DECLARE_MACRO(NAME) \
madcowswe 15:9c5aaeda36dc 54 template<class E1, class E2, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 55 XprMatrix< \
madcowswe 15:9c5aaeda36dc 56 XprBinOp< \
madcowswe 15:9c5aaeda36dc 57 Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \
madcowswe 15:9c5aaeda36dc 58 XprMatrix<E1, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 59 XprMatrix<E2, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 60 >, \
madcowswe 15:9c5aaeda36dc 61 Rows, Cols \
madcowswe 15:9c5aaeda36dc 62 > \
madcowswe 15:9c5aaeda36dc 63 NAME (const XprMatrix<E1, Rows, Cols>& lhs, \
madcowswe 15:9c5aaeda36dc 64 const XprMatrix<E2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 65
madcowswe 15:9c5aaeda36dc 66 TVMET_DECLARE_MACRO(add) // per se element wise
madcowswe 15:9c5aaeda36dc 67 TVMET_DECLARE_MACRO(sub) // per se element wise
madcowswe 15:9c5aaeda36dc 68 namespace element_wise {
madcowswe 15:9c5aaeda36dc 69 TVMET_DECLARE_MACRO(mul) // not defined for matrizes
madcowswe 15:9c5aaeda36dc 70 TVMET_DECLARE_MACRO(div) // not defined for matrizes
madcowswe 15:9c5aaeda36dc 71 }
madcowswe 15:9c5aaeda36dc 72
madcowswe 15:9c5aaeda36dc 73 #undef TVMET_DECLARE_MACRO
madcowswe 15:9c5aaeda36dc 74
madcowswe 15:9c5aaeda36dc 75
madcowswe 15:9c5aaeda36dc 76 /*
madcowswe 15:9c5aaeda36dc 77 * function(XprMatrix<E, Rows, Cols>, POD)
madcowswe 15:9c5aaeda36dc 78 * function(POD, XprMatrix<E, Rows, Cols>)
madcowswe 15:9c5aaeda36dc 79 * Note: - operations +,-,*,/ are per se element wise
madcowswe 15:9c5aaeda36dc 80 */
madcowswe 15:9c5aaeda36dc 81 #define TVMET_DECLARE_MACRO(NAME, POD) \
madcowswe 15:9c5aaeda36dc 82 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 83 XprMatrix< \
madcowswe 15:9c5aaeda36dc 84 XprBinOp< \
madcowswe 15:9c5aaeda36dc 85 Fcnl_##NAME<typename E::value_type, POD >, \
madcowswe 15:9c5aaeda36dc 86 XprMatrix<E, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 87 XprLiteral< POD > \
madcowswe 15:9c5aaeda36dc 88 >, \
madcowswe 15:9c5aaeda36dc 89 Rows, Cols \
madcowswe 15:9c5aaeda36dc 90 > \
madcowswe 15:9c5aaeda36dc 91 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
madcowswe 15:9c5aaeda36dc 92 POD rhs) TVMET_CXX_ALWAYS_INLINE; \
madcowswe 15:9c5aaeda36dc 93 \
madcowswe 15:9c5aaeda36dc 94 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 95 XprMatrix< \
madcowswe 15:9c5aaeda36dc 96 XprBinOp< \
madcowswe 15:9c5aaeda36dc 97 Fcnl_##NAME< POD, typename E::value_type>, \
madcowswe 15:9c5aaeda36dc 98 XprLiteral< POD >, \
madcowswe 15:9c5aaeda36dc 99 XprMatrix<E, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 100 >, \
madcowswe 15:9c5aaeda36dc 101 Rows, Cols \
madcowswe 15:9c5aaeda36dc 102 > \
madcowswe 15:9c5aaeda36dc 103 NAME (POD lhs, \
madcowswe 15:9c5aaeda36dc 104 const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 105
madcowswe 15:9c5aaeda36dc 106 TVMET_DECLARE_MACRO(add, int)
madcowswe 15:9c5aaeda36dc 107 TVMET_DECLARE_MACRO(sub, int)
madcowswe 15:9c5aaeda36dc 108 TVMET_DECLARE_MACRO(mul, int)
madcowswe 15:9c5aaeda36dc 109 TVMET_DECLARE_MACRO(div, int)
madcowswe 15:9c5aaeda36dc 110
madcowswe 15:9c5aaeda36dc 111 #if defined(TVMET_HAVE_LONG_LONG)
madcowswe 15:9c5aaeda36dc 112 TVMET_DECLARE_MACRO(add, long long int)
madcowswe 15:9c5aaeda36dc 113 TVMET_DECLARE_MACRO(sub, long long int)
madcowswe 15:9c5aaeda36dc 114 TVMET_DECLARE_MACRO(mul, long long int)
madcowswe 15:9c5aaeda36dc 115 TVMET_DECLARE_MACRO(div, long long int)
madcowswe 15:9c5aaeda36dc 116 #endif
madcowswe 15:9c5aaeda36dc 117
madcowswe 15:9c5aaeda36dc 118 TVMET_DECLARE_MACRO(add, float)
madcowswe 15:9c5aaeda36dc 119 TVMET_DECLARE_MACRO(sub, float)
madcowswe 15:9c5aaeda36dc 120 TVMET_DECLARE_MACRO(mul, float)
madcowswe 15:9c5aaeda36dc 121 TVMET_DECLARE_MACRO(div, float)
madcowswe 15:9c5aaeda36dc 122
madcowswe 15:9c5aaeda36dc 123 TVMET_DECLARE_MACRO(add, double)
madcowswe 15:9c5aaeda36dc 124 TVMET_DECLARE_MACRO(sub, double)
madcowswe 15:9c5aaeda36dc 125 TVMET_DECLARE_MACRO(mul, double)
madcowswe 15:9c5aaeda36dc 126 TVMET_DECLARE_MACRO(div, double)
madcowswe 15:9c5aaeda36dc 127
madcowswe 15:9c5aaeda36dc 128 #if defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 15:9c5aaeda36dc 129 TVMET_DECLARE_MACRO(add, long double)
madcowswe 15:9c5aaeda36dc 130 TVMET_DECLARE_MACRO(sub, long double)
madcowswe 15:9c5aaeda36dc 131 TVMET_DECLARE_MACRO(mul, long double)
madcowswe 15:9c5aaeda36dc 132 TVMET_DECLARE_MACRO(div, long double)
madcowswe 15:9c5aaeda36dc 133 #endif
madcowswe 15:9c5aaeda36dc 134
madcowswe 15:9c5aaeda36dc 135 #undef TVMET_DECLARE_MACRO
madcowswe 15:9c5aaeda36dc 136
madcowswe 15:9c5aaeda36dc 137
madcowswe 15:9c5aaeda36dc 138 #if defined(TVMET_HAVE_COMPLEX)
madcowswe 15:9c5aaeda36dc 139 /*
madcowswe 15:9c5aaeda36dc 140 * function(XprMatrix<E, Rows, Cols>, complex<T>)
madcowswe 15:9c5aaeda36dc 141 * function(complex<T>, XprMatrix<E, Rows, Cols>)
madcowswe 15:9c5aaeda36dc 142 * Note: - operations +,-,*,/ are per se element wise
madcowswe 15:9c5aaeda36dc 143 * \todo type promotion
madcowswe 15:9c5aaeda36dc 144 */
madcowswe 15:9c5aaeda36dc 145 #define TVMET_DECLARE_MACRO(NAME) \
madcowswe 15:9c5aaeda36dc 146 template<class E, class T, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 147 XprMatrix< \
madcowswe 15:9c5aaeda36dc 148 XprBinOp< \
madcowswe 15:9c5aaeda36dc 149 Fcnl_##NAME<typename E::value_type, std::complex<T> >, \
madcowswe 15:9c5aaeda36dc 150 XprMatrix<E, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 151 XprLiteral< std::complex<T> > \
madcowswe 15:9c5aaeda36dc 152 >, \
madcowswe 15:9c5aaeda36dc 153 Rows, Cols \
madcowswe 15:9c5aaeda36dc 154 > \
madcowswe 15:9c5aaeda36dc 155 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
madcowswe 15:9c5aaeda36dc 156 const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \
madcowswe 15:9c5aaeda36dc 157 \
madcowswe 15:9c5aaeda36dc 158 template<class T, class E, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 159 XprMatrix< \
madcowswe 15:9c5aaeda36dc 160 XprBinOp< \
madcowswe 15:9c5aaeda36dc 161 Fcnl_##NAME< std::complex<T>, typename E::value_type>, \
madcowswe 15:9c5aaeda36dc 162 XprLiteral< std::complex<T> >, \
madcowswe 15:9c5aaeda36dc 163 XprMatrix<E, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 164 >, \
madcowswe 15:9c5aaeda36dc 165 Rows, Cols \
madcowswe 15:9c5aaeda36dc 166 > \
madcowswe 15:9c5aaeda36dc 167 NAME (const std::complex<T>& lhs, \
madcowswe 15:9c5aaeda36dc 168 const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 169
madcowswe 15:9c5aaeda36dc 170 TVMET_DECLARE_MACRO(add)
madcowswe 15:9c5aaeda36dc 171 TVMET_DECLARE_MACRO(sub)
madcowswe 15:9c5aaeda36dc 172 TVMET_DECLARE_MACRO(mul)
madcowswe 15:9c5aaeda36dc 173 TVMET_DECLARE_MACRO(div)
madcowswe 15:9c5aaeda36dc 174
madcowswe 15:9c5aaeda36dc 175 #undef TVMET_DECLARE_MACRO
madcowswe 15:9c5aaeda36dc 176
madcowswe 15:9c5aaeda36dc 177 #endif // defined(TVMET_HAVE_COMPLEX)
madcowswe 15:9c5aaeda36dc 178
madcowswe 15:9c5aaeda36dc 179
madcowswe 15:9c5aaeda36dc 180 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 181 * matrix prod( ... ) functions
madcowswe 15:9c5aaeda36dc 182 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 183
madcowswe 15:9c5aaeda36dc 184
madcowswe 15:9c5aaeda36dc 185 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 186 class E2, std::size_t Cols2>
madcowswe 15:9c5aaeda36dc 187 XprMatrix<
madcowswe 15:9c5aaeda36dc 188 XprMMProduct<
madcowswe 15:9c5aaeda36dc 189 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 190 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 15:9c5aaeda36dc 191 >,
madcowswe 15:9c5aaeda36dc 192 Rows1, Cols2 // return Dim
madcowswe 15:9c5aaeda36dc 193 >
madcowswe 15:9c5aaeda36dc 194 prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 15:9c5aaeda36dc 195 const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 196
madcowswe 15:9c5aaeda36dc 197
madcowswe 15:9c5aaeda36dc 198 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 199 class E2, std::size_t Cols2>
madcowswe 15:9c5aaeda36dc 200 XprMatrix<
madcowswe 15:9c5aaeda36dc 201 XprMMProductTransposed<
madcowswe 15:9c5aaeda36dc 202 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 203 XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
madcowswe 15:9c5aaeda36dc 204 >,
madcowswe 15:9c5aaeda36dc 205 Cols2, Rows1 // return Dim
madcowswe 15:9c5aaeda36dc 206 >
madcowswe 15:9c5aaeda36dc 207 trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 15:9c5aaeda36dc 208 const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 209
madcowswe 15:9c5aaeda36dc 210
madcowswe 15:9c5aaeda36dc 211 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 212 class E2, std::size_t Cols2> // Rows2 = Rows1
madcowswe 15:9c5aaeda36dc 213 XprMatrix<
madcowswe 15:9c5aaeda36dc 214 XprMtMProduct<
madcowswe 15:9c5aaeda36dc 215 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 216 XprMatrix<E2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2)
madcowswe 15:9c5aaeda36dc 217 >,
madcowswe 15:9c5aaeda36dc 218 Cols1, Cols2 // return Dim
madcowswe 15:9c5aaeda36dc 219 >
madcowswe 15:9c5aaeda36dc 220 MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 15:9c5aaeda36dc 221 const XprMatrix<E2, Rows1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 222
madcowswe 15:9c5aaeda36dc 223
madcowswe 15:9c5aaeda36dc 224 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 225 class E2, std::size_t Rows2> // Cols2 = Cols1
madcowswe 15:9c5aaeda36dc 226 XprMatrix<
madcowswe 15:9c5aaeda36dc 227 XprMMtProduct<
madcowswe 15:9c5aaeda36dc 228 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 229 XprMatrix<E2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1)
madcowswe 15:9c5aaeda36dc 230 >,
madcowswe 15:9c5aaeda36dc 231 Rows1, Rows2 // return Dim
madcowswe 15:9c5aaeda36dc 232 >
madcowswe 15:9c5aaeda36dc 233 MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
madcowswe 15:9c5aaeda36dc 234 const XprMatrix<E2, Rows2, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 235
madcowswe 15:9c5aaeda36dc 236
madcowswe 15:9c5aaeda36dc 237 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 238 * matrix-vector specific prod( ... ) functions
madcowswe 15:9c5aaeda36dc 239 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 240
madcowswe 15:9c5aaeda36dc 241
madcowswe 15:9c5aaeda36dc 242 template<class E1, std::size_t Rows, std::size_t Cols,
madcowswe 15:9c5aaeda36dc 243 class E2>
madcowswe 15:9c5aaeda36dc 244 XprVector<
madcowswe 15:9c5aaeda36dc 245 XprMVProduct<
madcowswe 15:9c5aaeda36dc 246 XprMatrix<E1, Rows, Cols>, Rows, Cols,
madcowswe 15:9c5aaeda36dc 247 XprVector<E2, Cols>
madcowswe 15:9c5aaeda36dc 248 >,
madcowswe 15:9c5aaeda36dc 249 Rows
madcowswe 15:9c5aaeda36dc 250 >
madcowswe 15:9c5aaeda36dc 251 prod(const XprMatrix<E1, Rows, Cols>& lhs,
madcowswe 15:9c5aaeda36dc 252 const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 253
madcowswe 15:9c5aaeda36dc 254
madcowswe 15:9c5aaeda36dc 255 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 256 * matrix specific functions
madcowswe 15:9c5aaeda36dc 257 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 258
madcowswe 15:9c5aaeda36dc 259
madcowswe 15:9c5aaeda36dc 260 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 15:9c5aaeda36dc 261 XprMatrix<
madcowswe 15:9c5aaeda36dc 262 XprMatrixTranspose<
madcowswe 15:9c5aaeda36dc 263 XprMatrix<E, Rows, Cols>
madcowswe 15:9c5aaeda36dc 264 >,
madcowswe 15:9c5aaeda36dc 265 Cols, Rows
madcowswe 15:9c5aaeda36dc 266 >
madcowswe 15:9c5aaeda36dc 267 trans(const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 268
madcowswe 15:9c5aaeda36dc 269
madcowswe 15:9c5aaeda36dc 270 template<class E, std::size_t Sz>
madcowswe 15:9c5aaeda36dc 271 typename NumericTraits<typename E::value_type>::sum_type
madcowswe 15:9c5aaeda36dc 272 trace(const XprMatrix<E, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 273
madcowswe 15:9c5aaeda36dc 274
madcowswe 15:9c5aaeda36dc 275 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 15:9c5aaeda36dc 276 XprVector<
madcowswe 15:9c5aaeda36dc 277 XprMatrixRow<
madcowswe 15:9c5aaeda36dc 278 XprMatrix<E, Rows, Cols>,
madcowswe 15:9c5aaeda36dc 279 Rows, Cols
madcowswe 15:9c5aaeda36dc 280 >,
madcowswe 15:9c5aaeda36dc 281 Cols
madcowswe 15:9c5aaeda36dc 282 >
madcowswe 15:9c5aaeda36dc 283 row(const XprMatrix<E, Rows, Cols>& m,
madcowswe 15:9c5aaeda36dc 284 std::size_t no) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 285
madcowswe 15:9c5aaeda36dc 286
madcowswe 15:9c5aaeda36dc 287 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 15:9c5aaeda36dc 288 XprVector<
madcowswe 15:9c5aaeda36dc 289 XprMatrixCol<
madcowswe 15:9c5aaeda36dc 290 XprMatrix<E, Rows, Cols>,
madcowswe 15:9c5aaeda36dc 291 Rows, Cols
madcowswe 15:9c5aaeda36dc 292 >,
madcowswe 15:9c5aaeda36dc 293 Rows
madcowswe 15:9c5aaeda36dc 294 >
madcowswe 15:9c5aaeda36dc 295 col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 296
madcowswe 15:9c5aaeda36dc 297
madcowswe 15:9c5aaeda36dc 298 template<class E, std::size_t Sz>
madcowswe 15:9c5aaeda36dc 299 XprVector<
madcowswe 15:9c5aaeda36dc 300 XprMatrixDiag<
madcowswe 15:9c5aaeda36dc 301 XprMatrix<E, Sz, Sz>,
madcowswe 15:9c5aaeda36dc 302 Sz
madcowswe 15:9c5aaeda36dc 303 >,
madcowswe 15:9c5aaeda36dc 304 Sz
madcowswe 15:9c5aaeda36dc 305 >
madcowswe 15:9c5aaeda36dc 306 diag(const XprMatrix<E, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE;
madcowswe 15:9c5aaeda36dc 307
madcowswe 15:9c5aaeda36dc 308
madcowswe 15:9c5aaeda36dc 309 /*********************************************************
madcowswe 15:9c5aaeda36dc 310 * PART II: IMPLEMENTATION
madcowswe 15:9c5aaeda36dc 311 *********************************************************/
madcowswe 15:9c5aaeda36dc 312
madcowswe 15:9c5aaeda36dc 313
madcowswe 15:9c5aaeda36dc 314 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 315 * Matrix arithmetic functions add, sub, mul and div
madcowswe 15:9c5aaeda36dc 316 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 317
madcowswe 15:9c5aaeda36dc 318
madcowswe 15:9c5aaeda36dc 319 /*
madcowswe 15:9c5aaeda36dc 320 * function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>)
madcowswe 15:9c5aaeda36dc 321 */
madcowswe 15:9c5aaeda36dc 322 #define TVMET_IMPLEMENT_MACRO(NAME) \
madcowswe 15:9c5aaeda36dc 323 template<class E1, class E2, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 324 inline \
madcowswe 15:9c5aaeda36dc 325 XprMatrix< \
madcowswe 15:9c5aaeda36dc 326 XprBinOp< \
madcowswe 15:9c5aaeda36dc 327 Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \
madcowswe 15:9c5aaeda36dc 328 XprMatrix<E1, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 329 XprMatrix<E2, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 330 >, \
madcowswe 15:9c5aaeda36dc 331 Rows, Cols \
madcowswe 15:9c5aaeda36dc 332 > \
madcowswe 15:9c5aaeda36dc 333 NAME (const XprMatrix<E1, Rows, Cols>& lhs, \
madcowswe 15:9c5aaeda36dc 334 const XprMatrix<E2, Rows, Cols>& rhs) { \
madcowswe 15:9c5aaeda36dc 335 typedef XprBinOp< \
madcowswe 15:9c5aaeda36dc 336 Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \
madcowswe 15:9c5aaeda36dc 337 XprMatrix<E1, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 338 XprMatrix<E2, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 339 > expr_type; \
madcowswe 15:9c5aaeda36dc 340 return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs, rhs)); \
madcowswe 15:9c5aaeda36dc 341 }
madcowswe 15:9c5aaeda36dc 342
madcowswe 15:9c5aaeda36dc 343 TVMET_IMPLEMENT_MACRO(add) // per se element wise
madcowswe 15:9c5aaeda36dc 344 TVMET_IMPLEMENT_MACRO(sub) // per se element wise
madcowswe 15:9c5aaeda36dc 345 namespace element_wise {
madcowswe 15:9c5aaeda36dc 346 TVMET_IMPLEMENT_MACRO(mul) // not defined for matrizes
madcowswe 15:9c5aaeda36dc 347 TVMET_IMPLEMENT_MACRO(div) // not defined for matrizes
madcowswe 15:9c5aaeda36dc 348 }
madcowswe 15:9c5aaeda36dc 349
madcowswe 15:9c5aaeda36dc 350 #undef TVMET_IMPLEMENT_MACRO
madcowswe 15:9c5aaeda36dc 351
madcowswe 15:9c5aaeda36dc 352
madcowswe 15:9c5aaeda36dc 353 /*
madcowswe 15:9c5aaeda36dc 354 * function(XprMatrix<E, Rows, Cols>, POD)
madcowswe 15:9c5aaeda36dc 355 * function(POD, XprMatrix<E, Rows, Cols>)
madcowswe 15:9c5aaeda36dc 356 * Note: - operations +,-,*,/ are per se element wise
madcowswe 15:9c5aaeda36dc 357 */
madcowswe 15:9c5aaeda36dc 358 #define TVMET_IMPLEMENT_MACRO(NAME, POD) \
madcowswe 15:9c5aaeda36dc 359 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 360 inline \
madcowswe 15:9c5aaeda36dc 361 XprMatrix< \
madcowswe 15:9c5aaeda36dc 362 XprBinOp< \
madcowswe 15:9c5aaeda36dc 363 Fcnl_##NAME<typename E::value_type, POD >, \
madcowswe 15:9c5aaeda36dc 364 XprMatrix<E, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 365 XprLiteral< POD > \
madcowswe 15:9c5aaeda36dc 366 >, \
madcowswe 15:9c5aaeda36dc 367 Rows, Cols \
madcowswe 15:9c5aaeda36dc 368 > \
madcowswe 15:9c5aaeda36dc 369 NAME (const XprMatrix<E, Rows, Cols>& lhs, POD rhs) { \
madcowswe 15:9c5aaeda36dc 370 typedef XprBinOp< \
madcowswe 15:9c5aaeda36dc 371 Fcnl_##NAME<typename E::value_type, POD >, \
madcowswe 15:9c5aaeda36dc 372 XprMatrix<E, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 373 XprLiteral< POD > \
madcowswe 15:9c5aaeda36dc 374 > expr_type; \
madcowswe 15:9c5aaeda36dc 375 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 15:9c5aaeda36dc 376 expr_type(lhs, XprLiteral< POD >(rhs))); \
madcowswe 15:9c5aaeda36dc 377 } \
madcowswe 15:9c5aaeda36dc 378 \
madcowswe 15:9c5aaeda36dc 379 template<class E, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 380 inline \
madcowswe 15:9c5aaeda36dc 381 XprMatrix< \
madcowswe 15:9c5aaeda36dc 382 XprBinOp< \
madcowswe 15:9c5aaeda36dc 383 Fcnl_##NAME< POD, typename E::value_type>, \
madcowswe 15:9c5aaeda36dc 384 XprLiteral< POD >, \
madcowswe 15:9c5aaeda36dc 385 XprMatrix<E, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 386 >, \
madcowswe 15:9c5aaeda36dc 387 Rows, Cols \
madcowswe 15:9c5aaeda36dc 388 > \
madcowswe 15:9c5aaeda36dc 389 NAME (POD lhs, const XprMatrix<E, Rows, Cols>& rhs) { \
madcowswe 15:9c5aaeda36dc 390 typedef XprBinOp< \
madcowswe 15:9c5aaeda36dc 391 Fcnl_##NAME< POD, typename E::value_type>, \
madcowswe 15:9c5aaeda36dc 392 XprLiteral< POD >, \
madcowswe 15:9c5aaeda36dc 393 XprMatrix<E, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 394 > expr_type; \
madcowswe 15:9c5aaeda36dc 395 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 15:9c5aaeda36dc 396 expr_type(XprLiteral< POD >(lhs), rhs)); \
madcowswe 15:9c5aaeda36dc 397 }
madcowswe 15:9c5aaeda36dc 398
madcowswe 15:9c5aaeda36dc 399 TVMET_IMPLEMENT_MACRO(add, int)
madcowswe 15:9c5aaeda36dc 400 TVMET_IMPLEMENT_MACRO(sub, int)
madcowswe 15:9c5aaeda36dc 401 TVMET_IMPLEMENT_MACRO(mul, int)
madcowswe 15:9c5aaeda36dc 402 TVMET_IMPLEMENT_MACRO(div, int)
madcowswe 15:9c5aaeda36dc 403
madcowswe 15:9c5aaeda36dc 404 #if defined(TVMET_HAVE_LONG_LONG)
madcowswe 15:9c5aaeda36dc 405 TVMET_IMPLEMENT_MACRO(add, long long int)
madcowswe 15:9c5aaeda36dc 406 TVMET_IMPLEMENT_MACRO(sub, long long int)
madcowswe 15:9c5aaeda36dc 407 TVMET_IMPLEMENT_MACRO(mul, long long int)
madcowswe 15:9c5aaeda36dc 408 TVMET_IMPLEMENT_MACRO(div, long long int)
madcowswe 15:9c5aaeda36dc 409 #endif
madcowswe 15:9c5aaeda36dc 410
madcowswe 15:9c5aaeda36dc 411 TVMET_IMPLEMENT_MACRO(add, float)
madcowswe 15:9c5aaeda36dc 412 TVMET_IMPLEMENT_MACRO(sub, float)
madcowswe 15:9c5aaeda36dc 413 TVMET_IMPLEMENT_MACRO(mul, float)
madcowswe 15:9c5aaeda36dc 414 TVMET_IMPLEMENT_MACRO(div, float)
madcowswe 15:9c5aaeda36dc 415
madcowswe 15:9c5aaeda36dc 416 TVMET_IMPLEMENT_MACRO(add, double)
madcowswe 15:9c5aaeda36dc 417 TVMET_IMPLEMENT_MACRO(sub, double)
madcowswe 15:9c5aaeda36dc 418 TVMET_IMPLEMENT_MACRO(mul, double)
madcowswe 15:9c5aaeda36dc 419 TVMET_IMPLEMENT_MACRO(div, double)
madcowswe 15:9c5aaeda36dc 420
madcowswe 15:9c5aaeda36dc 421 #if defined(TVMET_HAVE_LONG_DOUBLE)
madcowswe 15:9c5aaeda36dc 422 TVMET_IMPLEMENT_MACRO(add, long double)
madcowswe 15:9c5aaeda36dc 423 TVMET_IMPLEMENT_MACRO(sub, long double)
madcowswe 15:9c5aaeda36dc 424 TVMET_IMPLEMENT_MACRO(mul, long double)
madcowswe 15:9c5aaeda36dc 425 TVMET_IMPLEMENT_MACRO(div, long double)
madcowswe 15:9c5aaeda36dc 426 #endif
madcowswe 15:9c5aaeda36dc 427
madcowswe 15:9c5aaeda36dc 428 #undef TVMET_IMPLEMENT_MACRO
madcowswe 15:9c5aaeda36dc 429
madcowswe 15:9c5aaeda36dc 430
madcowswe 15:9c5aaeda36dc 431 #if defined(TVMET_HAVE_COMPLEX)
madcowswe 15:9c5aaeda36dc 432 /*
madcowswe 15:9c5aaeda36dc 433 * function(XprMatrix<E, Rows, Cols>, complex<T>)
madcowswe 15:9c5aaeda36dc 434 * function(complex<T>, XprMatrix<E, Rows, Cols>)
madcowswe 15:9c5aaeda36dc 435 * Note: - operations +,-,*,/ are per se element wise
madcowswe 15:9c5aaeda36dc 436 * \todo type promotion
madcowswe 15:9c5aaeda36dc 437 */
madcowswe 15:9c5aaeda36dc 438 #define TVMET_IMPLEMENT_MACRO(NAME) \
madcowswe 15:9c5aaeda36dc 439 template<class E, class T, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 440 inline \
madcowswe 15:9c5aaeda36dc 441 XprMatrix< \
madcowswe 15:9c5aaeda36dc 442 XprBinOp< \
madcowswe 15:9c5aaeda36dc 443 Fcnl_##NAME<typename E::value_type, std::complex<T> >, \
madcowswe 15:9c5aaeda36dc 444 XprMatrix<E, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 445 XprLiteral< std::complex<T> > \
madcowswe 15:9c5aaeda36dc 446 >, \
madcowswe 15:9c5aaeda36dc 447 Rows, Cols \
madcowswe 15:9c5aaeda36dc 448 > \
madcowswe 15:9c5aaeda36dc 449 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
madcowswe 15:9c5aaeda36dc 450 const std::complex<T>& rhs) { \
madcowswe 15:9c5aaeda36dc 451 typedef XprBinOp< \
madcowswe 15:9c5aaeda36dc 452 Fcnl_##NAME<typename E::value_type, std::complex<T> >, \
madcowswe 15:9c5aaeda36dc 453 XprMatrix<E, Rows, Cols>, \
madcowswe 15:9c5aaeda36dc 454 XprLiteral< std::complex<T> > \
madcowswe 15:9c5aaeda36dc 455 > expr_type; \
madcowswe 15:9c5aaeda36dc 456 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 15:9c5aaeda36dc 457 expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \
madcowswe 15:9c5aaeda36dc 458 } \
madcowswe 15:9c5aaeda36dc 459 \
madcowswe 15:9c5aaeda36dc 460 template<class T, class E, std::size_t Rows, std::size_t Cols> \
madcowswe 15:9c5aaeda36dc 461 inline \
madcowswe 15:9c5aaeda36dc 462 XprMatrix< \
madcowswe 15:9c5aaeda36dc 463 XprBinOp< \
madcowswe 15:9c5aaeda36dc 464 Fcnl_##NAME< std::complex<T>, typename E::value_type>, \
madcowswe 15:9c5aaeda36dc 465 XprLiteral< std::complex<T> >, \
madcowswe 15:9c5aaeda36dc 466 XprMatrix<E, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 467 >, \
madcowswe 15:9c5aaeda36dc 468 Rows, Cols \
madcowswe 15:9c5aaeda36dc 469 > \
madcowswe 15:9c5aaeda36dc 470 NAME (const std::complex<T>& lhs, \
madcowswe 15:9c5aaeda36dc 471 const XprMatrix<E, Rows, Cols>& rhs) { \
madcowswe 15:9c5aaeda36dc 472 typedef XprBinOp< \
madcowswe 15:9c5aaeda36dc 473 Fcnl_##NAME< std::complex<T>, typename E::value_type>, \
madcowswe 15:9c5aaeda36dc 474 XprLiteral< std::complex<T> >, \
madcowswe 15:9c5aaeda36dc 475 XprMatrix<E, Rows, Cols> \
madcowswe 15:9c5aaeda36dc 476 > expr_type; \
madcowswe 15:9c5aaeda36dc 477 return XprMatrix<expr_type, Rows, Cols>( \
madcowswe 15:9c5aaeda36dc 478 expr_type(XprLiteral< std::complex<T> >(lhs), rhs)); \
madcowswe 15:9c5aaeda36dc 479 }
madcowswe 15:9c5aaeda36dc 480
madcowswe 15:9c5aaeda36dc 481 TVMET_IMPLEMENT_MACRO(add)
madcowswe 15:9c5aaeda36dc 482 TVMET_IMPLEMENT_MACRO(sub)
madcowswe 15:9c5aaeda36dc 483 TVMET_IMPLEMENT_MACRO(mul)
madcowswe 15:9c5aaeda36dc 484 TVMET_IMPLEMENT_MACRO(div)
madcowswe 15:9c5aaeda36dc 485
madcowswe 15:9c5aaeda36dc 486 #undef TVMET_IMPLEMENT_MACRO
madcowswe 15:9c5aaeda36dc 487
madcowswe 15:9c5aaeda36dc 488 #endif // defined(TVMET_HAVE_COMPLEX)
madcowswe 15:9c5aaeda36dc 489
madcowswe 15:9c5aaeda36dc 490
madcowswe 15:9c5aaeda36dc 491 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 492 * matrix prod( ... ) functions
madcowswe 15:9c5aaeda36dc 493 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 494
madcowswe 15:9c5aaeda36dc 495
madcowswe 15:9c5aaeda36dc 496 /**
madcowswe 15:9c5aaeda36dc 497 * \fn prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs)
madcowswe 15:9c5aaeda36dc 498 * \brief Evaluate the product of two XprMatrix.
madcowswe 15:9c5aaeda36dc 499 * Perform on given Matrix M1 and M2:
madcowswe 15:9c5aaeda36dc 500 * \f[
madcowswe 15:9c5aaeda36dc 501 * M_1\,M_2
madcowswe 15:9c5aaeda36dc 502 * \f]
madcowswe 15:9c5aaeda36dc 503 * \note The numer of Rows2 has to be equal to Cols1.
madcowswe 15:9c5aaeda36dc 504 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 505 */
madcowswe 15:9c5aaeda36dc 506 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 507 class E2, std::size_t Cols2>
madcowswe 15:9c5aaeda36dc 508 inline
madcowswe 15:9c5aaeda36dc 509 XprMatrix<
madcowswe 15:9c5aaeda36dc 510 XprMMProduct<
madcowswe 15:9c5aaeda36dc 511 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 512 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 15:9c5aaeda36dc 513 >,
madcowswe 15:9c5aaeda36dc 514 Rows1, Cols2 // return Dim
madcowswe 15:9c5aaeda36dc 515 >
madcowswe 15:9c5aaeda36dc 516 prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) {
madcowswe 15:9c5aaeda36dc 517 typedef XprMMProduct<
madcowswe 15:9c5aaeda36dc 518 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 15:9c5aaeda36dc 519 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 15:9c5aaeda36dc 520 > expr_type;
madcowswe 15:9c5aaeda36dc 521 return XprMatrix<expr_type, Rows1, Cols2>(expr_type(lhs, rhs));
madcowswe 15:9c5aaeda36dc 522 }
madcowswe 15:9c5aaeda36dc 523
madcowswe 15:9c5aaeda36dc 524
madcowswe 15:9c5aaeda36dc 525 /**
madcowswe 15:9c5aaeda36dc 526 * \fn trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs)
madcowswe 15:9c5aaeda36dc 527 * \brief Function for the trans(matrix-matrix-product)
madcowswe 15:9c5aaeda36dc 528 * Perform on given Matrix M1 and M2:
madcowswe 15:9c5aaeda36dc 529 * \f[
madcowswe 15:9c5aaeda36dc 530 * (M_1\,M_2)^T
madcowswe 15:9c5aaeda36dc 531 * \f]
madcowswe 15:9c5aaeda36dc 532 * \note The numer of Rows2 has to be equal to Cols1.
madcowswe 15:9c5aaeda36dc 533 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 534 */
madcowswe 15:9c5aaeda36dc 535 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 536 class E2, std::size_t Cols2>
madcowswe 15:9c5aaeda36dc 537 inline
madcowswe 15:9c5aaeda36dc 538 XprMatrix<
madcowswe 15:9c5aaeda36dc 539 XprMMProductTransposed<
madcowswe 15:9c5aaeda36dc 540 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 541 XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
madcowswe 15:9c5aaeda36dc 542 >,
madcowswe 15:9c5aaeda36dc 543 Cols2, Rows1 // return Dim
madcowswe 15:9c5aaeda36dc 544 >
madcowswe 15:9c5aaeda36dc 545 trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) {
madcowswe 15:9c5aaeda36dc 546 typedef XprMMProductTransposed<
madcowswe 15:9c5aaeda36dc 547 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 15:9c5aaeda36dc 548 XprMatrix<E2, Cols1, Cols2>, Cols2
madcowswe 15:9c5aaeda36dc 549 > expr_type;
madcowswe 15:9c5aaeda36dc 550 return XprMatrix<expr_type, Cols2, Rows1>(expr_type(lhs, rhs));
madcowswe 15:9c5aaeda36dc 551 }
madcowswe 15:9c5aaeda36dc 552
madcowswe 15:9c5aaeda36dc 553
madcowswe 15:9c5aaeda36dc 554 /**
madcowswe 15:9c5aaeda36dc 555 * \fn MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows1, Cols2>& rhs)
madcowswe 15:9c5aaeda36dc 556 * \brief Function for the trans(matrix)-matrix-product.
madcowswe 15:9c5aaeda36dc 557 * using formula
madcowswe 15:9c5aaeda36dc 558 * \f[
madcowswe 15:9c5aaeda36dc 559 * M_1^{T}\,M_2
madcowswe 15:9c5aaeda36dc 560 * \f]
madcowswe 15:9c5aaeda36dc 561 * \note The number of cols of matrix 2 have to be equal to number of rows of
madcowswe 15:9c5aaeda36dc 562 * matrix 1, since matrix 1 is trans - the result is a (Cols1 x Cols2)
madcowswe 15:9c5aaeda36dc 563 * matrix.
madcowswe 15:9c5aaeda36dc 564 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 565 */
madcowswe 15:9c5aaeda36dc 566 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 567 class E2, std::size_t Cols2> // Rows2 = Rows1
madcowswe 15:9c5aaeda36dc 568 inline
madcowswe 15:9c5aaeda36dc 569 XprMatrix<
madcowswe 15:9c5aaeda36dc 570 XprMtMProduct<
madcowswe 15:9c5aaeda36dc 571 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 572 XprMatrix<E2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2)
madcowswe 15:9c5aaeda36dc 573 >,
madcowswe 15:9c5aaeda36dc 574 Cols1, Cols2 // return Dim
madcowswe 15:9c5aaeda36dc 575 >
madcowswe 15:9c5aaeda36dc 576 MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows1, Cols2>& rhs) {
madcowswe 15:9c5aaeda36dc 577 typedef XprMtMProduct<
madcowswe 15:9c5aaeda36dc 578 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 15:9c5aaeda36dc 579 XprMatrix<E2, Rows1, Cols2>, Cols2
madcowswe 15:9c5aaeda36dc 580 > expr_type;
madcowswe 15:9c5aaeda36dc 581 return XprMatrix<expr_type, Cols1, Cols2>(expr_type(lhs, rhs));
madcowswe 15:9c5aaeda36dc 582 }
madcowswe 15:9c5aaeda36dc 583
madcowswe 15:9c5aaeda36dc 584
madcowswe 15:9c5aaeda36dc 585 /**
madcowswe 15:9c5aaeda36dc 586 * \fn MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows2, Cols1>& rhs)
madcowswe 15:9c5aaeda36dc 587 * \brief Function for the matrix-trans(matrix)-product.
madcowswe 15:9c5aaeda36dc 588 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 589 * \note The cols2 has to be equal to cols1.
madcowswe 15:9c5aaeda36dc 590 */
madcowswe 15:9c5aaeda36dc 591 template<class E1, std::size_t Rows1, std::size_t Cols1,
madcowswe 15:9c5aaeda36dc 592 class E2, std::size_t Rows2> // Cols2 = Cols1
madcowswe 15:9c5aaeda36dc 593 inline
madcowswe 15:9c5aaeda36dc 594 XprMatrix<
madcowswe 15:9c5aaeda36dc 595 XprMMtProduct<
madcowswe 15:9c5aaeda36dc 596 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
madcowswe 15:9c5aaeda36dc 597 XprMatrix<E2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1)
madcowswe 15:9c5aaeda36dc 598 >,
madcowswe 15:9c5aaeda36dc 599 Rows1, Rows2 // return Dim
madcowswe 15:9c5aaeda36dc 600 >
madcowswe 15:9c5aaeda36dc 601 MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows2, Cols1>& rhs) {
madcowswe 15:9c5aaeda36dc 602 typedef XprMMtProduct<
madcowswe 15:9c5aaeda36dc 603 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
madcowswe 15:9c5aaeda36dc 604 XprMatrix<E2, Rows2, Cols1>, Cols1
madcowswe 15:9c5aaeda36dc 605 > expr_type;
madcowswe 15:9c5aaeda36dc 606 return XprMatrix<expr_type, Rows1, Rows2>(expr_type(lhs, rhs));
madcowswe 15:9c5aaeda36dc 607 }
madcowswe 15:9c5aaeda36dc 608
madcowswe 15:9c5aaeda36dc 609
madcowswe 15:9c5aaeda36dc 610 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 611 * matrix-vector specific prod( ... ) functions
madcowswe 15:9c5aaeda36dc 612 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 613
madcowswe 15:9c5aaeda36dc 614
madcowswe 15:9c5aaeda36dc 615 /**
madcowswe 15:9c5aaeda36dc 616 * \fn prod(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs)
madcowswe 15:9c5aaeda36dc 617 * \brief Evaluate the product of XprMatrix and XprVector.
madcowswe 15:9c5aaeda36dc 618 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 619 */
madcowswe 15:9c5aaeda36dc 620 template<class E1, std::size_t Rows, std::size_t Cols,
madcowswe 15:9c5aaeda36dc 621 class E2>
madcowswe 15:9c5aaeda36dc 622 inline
madcowswe 15:9c5aaeda36dc 623 XprVector<
madcowswe 15:9c5aaeda36dc 624 XprMVProduct<
madcowswe 15:9c5aaeda36dc 625 XprMatrix<E1, Rows, Cols>, Rows, Cols,
madcowswe 15:9c5aaeda36dc 626 XprVector<E2, Cols>
madcowswe 15:9c5aaeda36dc 627 >,
madcowswe 15:9c5aaeda36dc 628 Rows
madcowswe 15:9c5aaeda36dc 629 >
madcowswe 15:9c5aaeda36dc 630 prod(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) {
madcowswe 15:9c5aaeda36dc 631 typedef XprMVProduct<
madcowswe 15:9c5aaeda36dc 632 XprMatrix<E1, Rows, Cols>, Rows, Cols,
madcowswe 15:9c5aaeda36dc 633 XprVector<E2, Cols>
madcowswe 15:9c5aaeda36dc 634 > expr_type;
madcowswe 15:9c5aaeda36dc 635 return XprVector<expr_type, Rows>(expr_type(lhs, rhs));
madcowswe 15:9c5aaeda36dc 636 }
madcowswe 15:9c5aaeda36dc 637
madcowswe 15:9c5aaeda36dc 638
madcowswe 15:9c5aaeda36dc 639 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
madcowswe 15:9c5aaeda36dc 640 * matrix specific functions
madcowswe 15:9c5aaeda36dc 641 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
madcowswe 15:9c5aaeda36dc 642
madcowswe 15:9c5aaeda36dc 643
madcowswe 15:9c5aaeda36dc 644 /**
madcowswe 15:9c5aaeda36dc 645 * \fn trans(const XprMatrix<E, Rows, Cols>& rhs)
madcowswe 15:9c5aaeda36dc 646 * \brief Transpose an expression matrix.
madcowswe 15:9c5aaeda36dc 647 * \ingroup _unary_function
madcowswe 15:9c5aaeda36dc 648 */
madcowswe 15:9c5aaeda36dc 649 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 15:9c5aaeda36dc 650 inline
madcowswe 15:9c5aaeda36dc 651 XprMatrix<
madcowswe 15:9c5aaeda36dc 652 XprMatrixTranspose<
madcowswe 15:9c5aaeda36dc 653 XprMatrix<E, Rows, Cols>
madcowswe 15:9c5aaeda36dc 654 >,
madcowswe 15:9c5aaeda36dc 655 Cols, Rows
madcowswe 15:9c5aaeda36dc 656 >
madcowswe 15:9c5aaeda36dc 657 trans(const XprMatrix<E, Rows, Cols>& rhs) {
madcowswe 15:9c5aaeda36dc 658 typedef XprMatrixTranspose<
madcowswe 15:9c5aaeda36dc 659 XprMatrix<E, Rows, Cols>
madcowswe 15:9c5aaeda36dc 660 > expr_type;
madcowswe 15:9c5aaeda36dc 661 return XprMatrix<expr_type, Cols, Rows>(expr_type(rhs));
madcowswe 15:9c5aaeda36dc 662 }
madcowswe 15:9c5aaeda36dc 663
madcowswe 15:9c5aaeda36dc 664
madcowswe 15:9c5aaeda36dc 665 /*
madcowswe 15:9c5aaeda36dc 666 * \fn trace(const XprMatrix<E, Sz, Sz>& m)
madcowswe 15:9c5aaeda36dc 667 * \brief Compute the trace of a square matrix.
madcowswe 15:9c5aaeda36dc 668 * \ingroup _unary_function
madcowswe 15:9c5aaeda36dc 669 *
madcowswe 15:9c5aaeda36dc 670 * Simply compute the trace of the given matrix expression as:
madcowswe 15:9c5aaeda36dc 671 * \f[
madcowswe 15:9c5aaeda36dc 672 * \sum_{k = 0}^{Sz-1} m(k, k)
madcowswe 15:9c5aaeda36dc 673 * \f]
madcowswe 15:9c5aaeda36dc 674 */
madcowswe 15:9c5aaeda36dc 675 template<class E, std::size_t Sz>
madcowswe 15:9c5aaeda36dc 676 inline
madcowswe 15:9c5aaeda36dc 677 typename NumericTraits<typename E::value_type>::sum_type
madcowswe 15:9c5aaeda36dc 678 trace(const XprMatrix<E, Sz, Sz>& m) {
madcowswe 15:9c5aaeda36dc 679 return meta::Matrix<Sz, Sz, 0, 0>::trace(m);
madcowswe 15:9c5aaeda36dc 680 }
madcowswe 15:9c5aaeda36dc 681
madcowswe 15:9c5aaeda36dc 682
madcowswe 15:9c5aaeda36dc 683 /**
madcowswe 15:9c5aaeda36dc 684 * \fn row(const XprMatrix<E, Rows, Cols>& m, std::size_t no)
madcowswe 15:9c5aaeda36dc 685 * \brief Returns a row vector of the given matrix.
madcowswe 15:9c5aaeda36dc 686 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 687 */
madcowswe 15:9c5aaeda36dc 688 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 15:9c5aaeda36dc 689 inline
madcowswe 15:9c5aaeda36dc 690 XprVector<
madcowswe 15:9c5aaeda36dc 691 XprMatrixRow<
madcowswe 15:9c5aaeda36dc 692 XprMatrix<E, Rows, Cols>,
madcowswe 15:9c5aaeda36dc 693 Rows, Cols
madcowswe 15:9c5aaeda36dc 694 >,
madcowswe 15:9c5aaeda36dc 695 Cols
madcowswe 15:9c5aaeda36dc 696 >
madcowswe 15:9c5aaeda36dc 697 row(const XprMatrix<E, Rows, Cols>& m, std::size_t no) {
madcowswe 15:9c5aaeda36dc 698 typedef XprMatrixRow<
madcowswe 15:9c5aaeda36dc 699 XprMatrix<E, Rows, Cols>,
madcowswe 15:9c5aaeda36dc 700 Rows, Cols
madcowswe 15:9c5aaeda36dc 701 > expr_type;
madcowswe 15:9c5aaeda36dc 702
madcowswe 15:9c5aaeda36dc 703 return XprVector<expr_type, Cols>(expr_type(m, no));
madcowswe 15:9c5aaeda36dc 704 }
madcowswe 15:9c5aaeda36dc 705
madcowswe 15:9c5aaeda36dc 706
madcowswe 15:9c5aaeda36dc 707 /**
madcowswe 15:9c5aaeda36dc 708 * \fn col(const XprMatrix<E, Rows, Cols>& m, std::size_t no)
madcowswe 15:9c5aaeda36dc 709 * \brief Returns a column vector of the given matrix.
madcowswe 15:9c5aaeda36dc 710 * \ingroup _binary_function
madcowswe 15:9c5aaeda36dc 711 */
madcowswe 15:9c5aaeda36dc 712 template<class E, std::size_t Rows, std::size_t Cols>
madcowswe 15:9c5aaeda36dc 713 inline
madcowswe 15:9c5aaeda36dc 714 XprVector<
madcowswe 15:9c5aaeda36dc 715 XprMatrixCol<
madcowswe 15:9c5aaeda36dc 716 XprMatrix<E, Rows, Cols>,
madcowswe 15:9c5aaeda36dc 717 Rows, Cols
madcowswe 15:9c5aaeda36dc 718 >,
madcowswe 15:9c5aaeda36dc 719 Rows
madcowswe 15:9c5aaeda36dc 720 >
madcowswe 15:9c5aaeda36dc 721 col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) {
madcowswe 15:9c5aaeda36dc 722 typedef XprMatrixCol<
madcowswe 15:9c5aaeda36dc 723 XprMatrix<E, Rows, Cols>,
madcowswe 15:9c5aaeda36dc 724 Rows, Cols
madcowswe 15:9c5aaeda36dc 725 > expr_type;
madcowswe 15:9c5aaeda36dc 726
madcowswe 15:9c5aaeda36dc 727 return XprVector<expr_type, Cols>(expr_type(m, no));
madcowswe 15:9c5aaeda36dc 728 }
madcowswe 15:9c5aaeda36dc 729
madcowswe 15:9c5aaeda36dc 730
madcowswe 15:9c5aaeda36dc 731 /**
madcowswe 15:9c5aaeda36dc 732 * \fn diag(const XprMatrix<E, Sz, Sz>& m)
madcowswe 15:9c5aaeda36dc 733 * \brief Returns the diagonal vector of the given square matrix.
madcowswe 15:9c5aaeda36dc 734 * \ingroup _unary_function
madcowswe 15:9c5aaeda36dc 735 */
madcowswe 15:9c5aaeda36dc 736 template<class E, std::size_t Sz>
madcowswe 15:9c5aaeda36dc 737 inline
madcowswe 15:9c5aaeda36dc 738 XprVector<
madcowswe 15:9c5aaeda36dc 739 XprMatrixDiag<
madcowswe 15:9c5aaeda36dc 740 XprMatrix<E, Sz, Sz>,
madcowswe 15:9c5aaeda36dc 741 Sz
madcowswe 15:9c5aaeda36dc 742 >,
madcowswe 15:9c5aaeda36dc 743 Sz
madcowswe 15:9c5aaeda36dc 744 >
madcowswe 15:9c5aaeda36dc 745 diag(const XprMatrix<E, Sz, Sz>& m) {
madcowswe 15:9c5aaeda36dc 746 typedef XprMatrixDiag<
madcowswe 15:9c5aaeda36dc 747 XprMatrix<E, Sz, Sz>,
madcowswe 15:9c5aaeda36dc 748 Sz> expr_type;
madcowswe 15:9c5aaeda36dc 749
madcowswe 15:9c5aaeda36dc 750 return XprVector<expr_type, Sz>(expr_type(m));
madcowswe 15:9c5aaeda36dc 751 }
madcowswe 15:9c5aaeda36dc 752
madcowswe 15:9c5aaeda36dc 753
madcowswe 15:9c5aaeda36dc 754 } // namespace tvmet
madcowswe 15:9c5aaeda36dc 755
madcowswe 15:9c5aaeda36dc 756 #endif // TVMET_XPR_MATRIX_FUNCTIONS_H
madcowswe 15:9c5aaeda36dc 757
madcowswe 15:9c5aaeda36dc 758 // Local Variables:
madcowswe 15:9c5aaeda36dc 759 // mode:C++
madcowswe 15:9c5aaeda36dc 760 // tab-width:8
madcowswe 15:9c5aaeda36dc 761 // End: