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tvmet/MatrixFunctions.h@26:0995f61cb7b8, 2012-10-17 (annotated)

Committer:
narshu
Date:
Wed Oct 17 22:22:47 2012 +0000
Revision:
26:0995f61cb7b8
Parent:
25:143b19c1fb05 
Eurobot 2012 Primary;

Who changed what in which revision?

UserRevisionLine numberNew contents of line
narshu 25:143b19c1fb05 1 /*
narshu 25:143b19c1fb05 2 * Tiny Vector Matrix Library
narshu 25:143b19c1fb05 3 * Dense Vector Matrix Libary of Tiny size using Expression Templates
narshu 25:143b19c1fb05 4 *
narshu 25:143b19c1fb05 5 * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net>
narshu 25:143b19c1fb05 6 *
narshu 25:143b19c1fb05 7 * This library is free software; you can redistribute it and/or
narshu 25:143b19c1fb05 8 * modify it under the terms of the GNU lesser General Public
narshu 25:143b19c1fb05 9 * License as published by the Free Software Foundation; either
narshu 25:143b19c1fb05 10 * version 2.1 of the License, or (at your option) any later version.
narshu 25:143b19c1fb05 11 *
narshu 25:143b19c1fb05 12 * This library is distributed in the hope that it will be useful,
narshu 25:143b19c1fb05 13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
narshu 25:143b19c1fb05 14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
narshu 25:143b19c1fb05 15 * lesser General Public License for more details.
narshu 25:143b19c1fb05 16 *
narshu 25:143b19c1fb05 17 * You should have received a copy of the GNU lesser General Public
narshu 25:143b19c1fb05 18 * License along with this library; if not, write to the Free Software
narshu 25:143b19c1fb05 19 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
narshu 25:143b19c1fb05 20 *
narshu 25:143b19c1fb05 21 * $Id: MatrixFunctions.h,v 1.65 2007-06-23 15:58:58 opetzold Exp $
narshu 25:143b19c1fb05 22 */
narshu 25:143b19c1fb05 23
narshu 25:143b19c1fb05 24 #ifndef TVMET_MATRIX_FUNCTIONS_H
narshu 25:143b19c1fb05 25 #define TVMET_MATRIX_FUNCTIONS_H
narshu 25:143b19c1fb05 26
narshu 25:143b19c1fb05 27 #include <tvmet/Extremum.h>
narshu 25:143b19c1fb05 28
narshu 25:143b19c1fb05 29 namespace tvmet {
narshu 25:143b19c1fb05 30
narshu 25:143b19c1fb05 31 /* forwards */
narshu 25:143b19c1fb05 32 template<class T, std::size_t Sz> class Vector;
narshu 25:143b19c1fb05 33 template<class T, std::size_t Sz> class VectorConstReference;
narshu 25:143b19c1fb05 34
narshu 25:143b19c1fb05 35
narshu 25:143b19c1fb05 36 /*********************************************************
narshu 25:143b19c1fb05 37 * PART I: DECLARATION
narshu 25:143b19c1fb05 38 *********************************************************/
narshu 25:143b19c1fb05 39
narshu 25:143b19c1fb05 40
narshu 25:143b19c1fb05 41 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 42 * Vector arithmetic functions add, sub, mul and div
narshu 25:143b19c1fb05 43 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 44
narshu 25:143b19c1fb05 45
narshu 25:143b19c1fb05 46 /*
narshu 25:143b19c1fb05 47 * function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
narshu 25:143b19c1fb05 48 * function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>)
narshu 25:143b19c1fb05 49 * function(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>)
narshu 25:143b19c1fb05 50 */
narshu 25:143b19c1fb05 51 #define TVMET_DECLARE_MACRO(NAME) \
narshu 25:143b19c1fb05 52 template<class T1, class T2, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 53 XprMatrix< \
narshu 25:143b19c1fb05 54 XprBinOp< \
narshu 25:143b19c1fb05 55 Fcnl_##NAME<T1, T2>, \
narshu 25:143b19c1fb05 56 MatrixConstReference<T1, Rows, Cols>, \
narshu 25:143b19c1fb05 57 MatrixConstReference<T2, Rows, Cols> \
narshu 25:143b19c1fb05 58 >, \
narshu 25:143b19c1fb05 59 Rows, Cols \
narshu 25:143b19c1fb05 60 > \
narshu 25:143b19c1fb05 61 NAME (const Matrix<T1, Rows, Cols>& lhs, \
narshu 25:143b19c1fb05 62 const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
narshu 25:143b19c1fb05 63 \
narshu 25:143b19c1fb05 64 template<class E, class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 65 XprMatrix< \
narshu 25:143b19c1fb05 66 XprBinOp< \
narshu 25:143b19c1fb05 67 Fcnl_##NAME<typename E::value_type, T>, \
narshu 25:143b19c1fb05 68 XprMatrix<E, Rows, Cols>, \
narshu 25:143b19c1fb05 69 MatrixConstReference<T, Rows, Cols> \
narshu 25:143b19c1fb05 70 >, \
narshu 25:143b19c1fb05 71 Rows, Cols \
narshu 25:143b19c1fb05 72 > \
narshu 25:143b19c1fb05 73 NAME (const XprMatrix<E, Rows, Cols>& lhs, \
narshu 25:143b19c1fb05 74 const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
narshu 25:143b19c1fb05 75 \
narshu 25:143b19c1fb05 76 template<class T, class E, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 77 XprMatrix< \
narshu 25:143b19c1fb05 78 XprBinOp< \
narshu 25:143b19c1fb05 79 Fcnl_##NAME<typename E::value_type, T>, \
narshu 25:143b19c1fb05 80 MatrixConstReference<T, Rows, Cols>, \
narshu 25:143b19c1fb05 81 XprMatrix<E, Rows, Cols> \
narshu 25:143b19c1fb05 82 >, \
narshu 25:143b19c1fb05 83 Rows, Cols \
narshu 25:143b19c1fb05 84 > \
narshu 25:143b19c1fb05 85 NAME (const Matrix<T, Rows, Cols>& lhs, \
narshu 25:143b19c1fb05 86 const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 87
narshu 25:143b19c1fb05 88 TVMET_DECLARE_MACRO(add) // per se element wise
narshu 25:143b19c1fb05 89 TVMET_DECLARE_MACRO(sub) // per se element wise
narshu 25:143b19c1fb05 90 namespace element_wise {
narshu 25:143b19c1fb05 91 TVMET_DECLARE_MACRO(mul) // not defined for matrizes
narshu 25:143b19c1fb05 92 TVMET_DECLARE_MACRO(div) // not defined for matrizes
narshu 25:143b19c1fb05 93 }
narshu 25:143b19c1fb05 94
narshu 25:143b19c1fb05 95 #undef TVMET_DECLARE_MACRO
narshu 25:143b19c1fb05 96
narshu 25:143b19c1fb05 97
narshu 25:143b19c1fb05 98 /*
narshu 25:143b19c1fb05 99 * function(Matrix<T, Rows, Cols>, POD)
narshu 25:143b19c1fb05 100 * function(POD, Matrix<T, Rows, Cols>)
narshu 25:143b19c1fb05 101 * Note: - operations +,-,*,/ are per se element wise
narshu 25:143b19c1fb05 102 */
narshu 25:143b19c1fb05 103 #define TVMET_DECLARE_MACRO(NAME, POD) \
narshu 25:143b19c1fb05 104 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 105 XprMatrix< \
narshu 25:143b19c1fb05 106 XprBinOp< \
narshu 25:143b19c1fb05 107 Fcnl_##NAME<T, POD >, \
narshu 25:143b19c1fb05 108 MatrixConstReference<T, Rows, Cols>, \
narshu 25:143b19c1fb05 109 XprLiteral<POD > \
narshu 25:143b19c1fb05 110 >, \
narshu 25:143b19c1fb05 111 Rows, Cols \
narshu 25:143b19c1fb05 112 > \
narshu 25:143b19c1fb05 113 NAME (const Matrix<T, Rows, Cols>& lhs, \
narshu 25:143b19c1fb05 114 POD rhs) TVMET_CXX_ALWAYS_INLINE; \
narshu 25:143b19c1fb05 115 \
narshu 25:143b19c1fb05 116 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 117 XprMatrix< \
narshu 25:143b19c1fb05 118 XprBinOp< \
narshu 25:143b19c1fb05 119 Fcnl_##NAME< POD, T>, \
narshu 25:143b19c1fb05 120 XprLiteral< POD >, \
narshu 25:143b19c1fb05 121 MatrixConstReference<T, Rows, Cols> \
narshu 25:143b19c1fb05 122 >, \
narshu 25:143b19c1fb05 123 Rows, Cols \
narshu 25:143b19c1fb05 124 > \
narshu 25:143b19c1fb05 125 NAME (POD lhs, \
narshu 25:143b19c1fb05 126 const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 127
narshu 25:143b19c1fb05 128 TVMET_DECLARE_MACRO(add, int)
narshu 25:143b19c1fb05 129 TVMET_DECLARE_MACRO(sub, int)
narshu 25:143b19c1fb05 130 TVMET_DECLARE_MACRO(mul, int)
narshu 25:143b19c1fb05 131 TVMET_DECLARE_MACRO(div, int)
narshu 25:143b19c1fb05 132
narshu 25:143b19c1fb05 133 #if defined(TVMET_HAVE_LONG_LONG)
narshu 25:143b19c1fb05 134 TVMET_DECLARE_MACRO(add, long long int)
narshu 25:143b19c1fb05 135 TVMET_DECLARE_MACRO(sub, long long int)
narshu 25:143b19c1fb05 136 TVMET_DECLARE_MACRO(mul, long long int)
narshu 25:143b19c1fb05 137 TVMET_DECLARE_MACRO(div, long long int)
narshu 25:143b19c1fb05 138 #endif
narshu 25:143b19c1fb05 139
narshu 25:143b19c1fb05 140 TVMET_DECLARE_MACRO(add, float)
narshu 25:143b19c1fb05 141 TVMET_DECLARE_MACRO(sub, float)
narshu 25:143b19c1fb05 142 TVMET_DECLARE_MACRO(mul, float)
narshu 25:143b19c1fb05 143 TVMET_DECLARE_MACRO(div, float)
narshu 25:143b19c1fb05 144
narshu 25:143b19c1fb05 145 TVMET_DECLARE_MACRO(add, double)
narshu 25:143b19c1fb05 146 TVMET_DECLARE_MACRO(sub, double)
narshu 25:143b19c1fb05 147 TVMET_DECLARE_MACRO(mul, double)
narshu 25:143b19c1fb05 148 TVMET_DECLARE_MACRO(div, double)
narshu 25:143b19c1fb05 149
narshu 25:143b19c1fb05 150 #if defined(TVMET_HAVE_LONG_DOUBLE)
narshu 25:143b19c1fb05 151 TVMET_DECLARE_MACRO(add, long double)
narshu 25:143b19c1fb05 152 TVMET_DECLARE_MACRO(sub, long double)
narshu 25:143b19c1fb05 153 TVMET_DECLARE_MACRO(mul, long double)
narshu 25:143b19c1fb05 154 TVMET_DECLARE_MACRO(div, long double)
narshu 25:143b19c1fb05 155 #endif
narshu 25:143b19c1fb05 156
narshu 25:143b19c1fb05 157 #undef TVMET_DECLARE_MACRO
narshu 25:143b19c1fb05 158
narshu 25:143b19c1fb05 159
narshu 25:143b19c1fb05 160 #if defined(TVMET_HAVE_COMPLEX)
narshu 25:143b19c1fb05 161 /*
narshu 25:143b19c1fb05 162 * function(Matrix<T, Rows, Cols>, complex<T>)
narshu 25:143b19c1fb05 163 * function(complex<T>, Matrix<T, Rows, Cols>)
narshu 25:143b19c1fb05 164 * Note: - operations +,-,*,/ are per se element wise
narshu 25:143b19c1fb05 165 * \todo type promotion
narshu 25:143b19c1fb05 166 */
narshu 25:143b19c1fb05 167 #define TVMET_DECLARE_MACRO(NAME) \
narshu 25:143b19c1fb05 168 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 169 XprMatrix< \
narshu 25:143b19c1fb05 170 XprBinOp< \
narshu 25:143b19c1fb05 171 Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
narshu 25:143b19c1fb05 172 MatrixConstReference< std::complex<T>, Rows, Cols>, \
narshu 25:143b19c1fb05 173 XprLiteral<std::complex<T> > \
narshu 25:143b19c1fb05 174 >, \
narshu 25:143b19c1fb05 175 Rows, Cols \
narshu 25:143b19c1fb05 176 > \
narshu 25:143b19c1fb05 177 NAME (const Matrix< std::complex<T>, Rows, Cols>& lhs, \
narshu 25:143b19c1fb05 178 const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \
narshu 25:143b19c1fb05 179 \
narshu 25:143b19c1fb05 180 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 181 XprMatrix< \
narshu 25:143b19c1fb05 182 XprBinOp< \
narshu 25:143b19c1fb05 183 Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
narshu 25:143b19c1fb05 184 XprLiteral< std::complex<T> >, \
narshu 25:143b19c1fb05 185 MatrixConstReference< std::complex<T>, Rows, Cols> \
narshu 25:143b19c1fb05 186 >, \
narshu 25:143b19c1fb05 187 Rows, Cols \
narshu 25:143b19c1fb05 188 > \
narshu 25:143b19c1fb05 189 NAME (const std::complex<T>& lhs, \
narshu 25:143b19c1fb05 190 const Matrix< std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 191
narshu 25:143b19c1fb05 192 TVMET_DECLARE_MACRO(add)
narshu 25:143b19c1fb05 193 TVMET_DECLARE_MACRO(sub)
narshu 25:143b19c1fb05 194 TVMET_DECLARE_MACRO(mul)
narshu 25:143b19c1fb05 195 TVMET_DECLARE_MACRO(div)
narshu 25:143b19c1fb05 196
narshu 25:143b19c1fb05 197 #undef TVMET_DECLARE_MACRO
narshu 25:143b19c1fb05 198
narshu 25:143b19c1fb05 199 #endif // defined(TVMET_HAVE_COMPLEX)
narshu 25:143b19c1fb05 200
narshu 25:143b19c1fb05 201
narshu 25:143b19c1fb05 202 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 203 * matrix specific prod( ... ) functions
narshu 25:143b19c1fb05 204 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 205
narshu 25:143b19c1fb05 206
narshu 25:143b19c1fb05 207 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 208 class T2, std::size_t Cols2>
narshu 25:143b19c1fb05 209 XprMatrix<
narshu 25:143b19c1fb05 210 XprMMProduct<
narshu 25:143b19c1fb05 211 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 212 MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 213 >,
narshu 25:143b19c1fb05 214 Rows1, Cols2 // return Dim
narshu 25:143b19c1fb05 215 >
narshu 25:143b19c1fb05 216 prod(const Matrix<T1, Rows1, Cols1>& lhs,
narshu 25:143b19c1fb05 217 const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 218
narshu 25:143b19c1fb05 219
narshu 25:143b19c1fb05 220 template<class E1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 221 class T2, std::size_t Cols2>
narshu 25:143b19c1fb05 222 XprMatrix<
narshu 25:143b19c1fb05 223 XprMMProduct<
narshu 25:143b19c1fb05 224 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 225 MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 226 >,
narshu 25:143b19c1fb05 227 Rows1, Cols2 // return Dim
narshu 25:143b19c1fb05 228 >
narshu 25:143b19c1fb05 229 prod(const XprMatrix<E1, Rows1, Cols1>& lhs,
narshu 25:143b19c1fb05 230 const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 231
narshu 25:143b19c1fb05 232
narshu 25:143b19c1fb05 233 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 234 class E2, std::size_t Cols2>
narshu 25:143b19c1fb05 235 XprMatrix<
narshu 25:143b19c1fb05 236 XprMMProduct<
narshu 25:143b19c1fb05 237 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 238 XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 239 >,
narshu 25:143b19c1fb05 240 Rows1, Cols2 // return Dim
narshu 25:143b19c1fb05 241 >
narshu 25:143b19c1fb05 242 prod(const Matrix<T1, Rows1, Cols1>& lhs,
narshu 25:143b19c1fb05 243 const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 244
narshu 25:143b19c1fb05 245
narshu 25:143b19c1fb05 246 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 247 class T2, std::size_t Cols2>
narshu 25:143b19c1fb05 248 XprMatrix<
narshu 25:143b19c1fb05 249 XprMMProductTransposed<
narshu 25:143b19c1fb05 250 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 251 MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 252 >,
narshu 25:143b19c1fb05 253 Cols2, Rows1 // return Dim
narshu 25:143b19c1fb05 254 >
narshu 25:143b19c1fb05 255 trans_prod(const Matrix<T1, Rows1, Cols1>& lhs,
narshu 25:143b19c1fb05 256 const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 257
narshu 25:143b19c1fb05 258
narshu 25:143b19c1fb05 259 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 260 class T2, std::size_t Cols2> // Rows2 = Rows1
narshu 25:143b19c1fb05 261 XprMatrix<
narshu 25:143b19c1fb05 262 XprMtMProduct<
narshu 25:143b19c1fb05 263 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 264 MatrixConstReference<T2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2)
narshu 25:143b19c1fb05 265 >,
narshu 25:143b19c1fb05 266 Cols1, Cols2 // return Dim
narshu 25:143b19c1fb05 267 >
narshu 25:143b19c1fb05 268 MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs,
narshu 25:143b19c1fb05 269 const Matrix<T2, Rows1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 270
narshu 25:143b19c1fb05 271
narshu 25:143b19c1fb05 272 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 273 class T2, std::size_t Rows2>
narshu 25:143b19c1fb05 274 XprMatrix<
narshu 25:143b19c1fb05 275 XprMMtProduct<
narshu 25:143b19c1fb05 276 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 277 MatrixConstReference<T2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1)
narshu 25:143b19c1fb05 278 >,
narshu 25:143b19c1fb05 279 Rows1, Rows2 // return Dim
narshu 25:143b19c1fb05 280 >
narshu 25:143b19c1fb05 281 MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs,
narshu 25:143b19c1fb05 282 const Matrix<T2, Rows2, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 283
narshu 25:143b19c1fb05 284
narshu 25:143b19c1fb05 285 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 286 * matrix-vector specific prod( ... ) functions
narshu 25:143b19c1fb05 287 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 288
narshu 25:143b19c1fb05 289
narshu 25:143b19c1fb05 290 template<class T1, class T2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 291 XprVector<
narshu 25:143b19c1fb05 292 XprMVProduct<
narshu 25:143b19c1fb05 293 MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols)
narshu 25:143b19c1fb05 294 VectorConstReference<T2, Cols> // V
narshu 25:143b19c1fb05 295 >,
narshu 25:143b19c1fb05 296 Rows
narshu 25:143b19c1fb05 297 >
narshu 25:143b19c1fb05 298 prod(const Matrix<T1, Rows, Cols>& lhs,
narshu 25:143b19c1fb05 299 const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 300
narshu 25:143b19c1fb05 301
narshu 25:143b19c1fb05 302 template<class T1, class E2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 303 XprVector<
narshu 25:143b19c1fb05 304 XprMVProduct<
narshu 25:143b19c1fb05 305 MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
narshu 25:143b19c1fb05 306 XprVector<E2, Cols>
narshu 25:143b19c1fb05 307 >,
narshu 25:143b19c1fb05 308 Rows
narshu 25:143b19c1fb05 309 >
narshu 25:143b19c1fb05 310 prod(const Matrix<T1, Rows, Cols>& lhs,
narshu 25:143b19c1fb05 311 const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 312
narshu 25:143b19c1fb05 313
narshu 25:143b19c1fb05 314 template<class E1, class T2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 315 XprVector<
narshu 25:143b19c1fb05 316 XprMVProduct<
narshu 25:143b19c1fb05 317 XprMatrix<E1, Rows, Cols>, Rows, Cols, // M(Rows, Cols)
narshu 25:143b19c1fb05 318 VectorConstReference<T2, Cols> // V
narshu 25:143b19c1fb05 319 >,
narshu 25:143b19c1fb05 320 Rows
narshu 25:143b19c1fb05 321 >
narshu 25:143b19c1fb05 322 prod(const XprMatrix<E1, Rows, Cols>& lhs,
narshu 25:143b19c1fb05 323 const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 324
narshu 25:143b19c1fb05 325
narshu 25:143b19c1fb05 326 template<class T1, class T2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 327 XprVector<
narshu 25:143b19c1fb05 328 XprMtVProduct<
narshu 25:143b19c1fb05 329 MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols)
narshu 25:143b19c1fb05 330 VectorConstReference<T2, Rows> // V
narshu 25:143b19c1fb05 331 >,
narshu 25:143b19c1fb05 332 Cols
narshu 25:143b19c1fb05 333 >
narshu 25:143b19c1fb05 334 Mtx_prod(const Matrix<T1, Rows, Cols>& lhs,
narshu 25:143b19c1fb05 335 const Vector<T2, Rows>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 336
narshu 25:143b19c1fb05 337
narshu 25:143b19c1fb05 338 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 339 * matrix specific functions
narshu 25:143b19c1fb05 340 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 341
narshu 25:143b19c1fb05 342
narshu 25:143b19c1fb05 343 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 344 XprMatrix<
narshu 25:143b19c1fb05 345 XprMatrixTranspose<
narshu 25:143b19c1fb05 346 MatrixConstReference<T, Rows, Cols>
narshu 25:143b19c1fb05 347 >,
narshu 25:143b19c1fb05 348 Cols, Rows
narshu 25:143b19c1fb05 349 >
narshu 25:143b19c1fb05 350 trans(const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 351
narshu 25:143b19c1fb05 352
narshu 25:143b19c1fb05 353 template<class T, std::size_t Sz>
narshu 25:143b19c1fb05 354 typename NumericTraits<T>::sum_type
narshu 25:143b19c1fb05 355 trace(const Matrix<T, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 356
narshu 25:143b19c1fb05 357
narshu 25:143b19c1fb05 358 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 359 XprVector<
narshu 25:143b19c1fb05 360 XprMatrixRow<
narshu 25:143b19c1fb05 361 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 362 Rows, Cols
narshu 25:143b19c1fb05 363 >,
narshu 25:143b19c1fb05 364 Cols
narshu 25:143b19c1fb05 365 >
narshu 25:143b19c1fb05 366 row(const Matrix<T, Rows, Cols>& m,
narshu 25:143b19c1fb05 367 std::size_t no) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 368
narshu 25:143b19c1fb05 369
narshu 25:143b19c1fb05 370 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 371 XprVector<
narshu 25:143b19c1fb05 372 XprMatrixCol<
narshu 25:143b19c1fb05 373 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 374 Rows, Cols
narshu 25:143b19c1fb05 375 >,
narshu 25:143b19c1fb05 376 Rows
narshu 25:143b19c1fb05 377 >
narshu 25:143b19c1fb05 378 col(const Matrix<T, Rows, Cols>& m,
narshu 25:143b19c1fb05 379 std::size_t no) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 380
narshu 25:143b19c1fb05 381
narshu 25:143b19c1fb05 382 template<class T, std::size_t Sz>
narshu 25:143b19c1fb05 383 XprVector<
narshu 25:143b19c1fb05 384 XprMatrixDiag<
narshu 25:143b19c1fb05 385 MatrixConstReference<T, Sz, Sz>,
narshu 25:143b19c1fb05 386 Sz
narshu 25:143b19c1fb05 387 >,
narshu 25:143b19c1fb05 388 Sz
narshu 25:143b19c1fb05 389 >
narshu 25:143b19c1fb05 390 diag(const Matrix<T, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 391
narshu 25:143b19c1fb05 392
narshu 25:143b19c1fb05 393 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 394 * min/max unary functions
narshu 25:143b19c1fb05 395 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 396
narshu 25:143b19c1fb05 397
narshu 25:143b19c1fb05 398 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 399 Extremum<typename E::value_type, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 400 maximum(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 401
narshu 25:143b19c1fb05 402
narshu 25:143b19c1fb05 403 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 404 Extremum<T, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 405 maximum(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 406
narshu 25:143b19c1fb05 407
narshu 25:143b19c1fb05 408 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 409 Extremum<typename E::value_type, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 410 minimum(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 411
narshu 25:143b19c1fb05 412
narshu 25:143b19c1fb05 413 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 414 Extremum<T, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 415 minimum(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 416
narshu 25:143b19c1fb05 417
narshu 25:143b19c1fb05 418 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 419 typename E::value_type
narshu 25:143b19c1fb05 420 max(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 421
narshu 25:143b19c1fb05 422
narshu 25:143b19c1fb05 423 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 424 T max(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 425
narshu 25:143b19c1fb05 426
narshu 25:143b19c1fb05 427 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 428 typename E::value_type
narshu 25:143b19c1fb05 429 min(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 430
narshu 25:143b19c1fb05 431
narshu 25:143b19c1fb05 432 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 433 T min(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 434
narshu 25:143b19c1fb05 435
narshu 25:143b19c1fb05 436 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 437 * other unary functions
narshu 25:143b19c1fb05 438 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 439
narshu 25:143b19c1fb05 440
narshu 25:143b19c1fb05 441 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 442 XprMatrix<
narshu 25:143b19c1fb05 443 XprIdentity<T, Rows, Cols>,
narshu 25:143b19c1fb05 444 Rows, Cols
narshu 25:143b19c1fb05 445 >
narshu 25:143b19c1fb05 446 identity() TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 447
narshu 25:143b19c1fb05 448
narshu 25:143b19c1fb05 449 template<class M>
narshu 25:143b19c1fb05 450 XprMatrix<
narshu 25:143b19c1fb05 451 XprIdentity<
narshu 25:143b19c1fb05 452 typename M::value_type,
narshu 25:143b19c1fb05 453 M::Rows, M::Cols>,
narshu 25:143b19c1fb05 454 M::Rows, M::Cols
narshu 25:143b19c1fb05 455 >
narshu 25:143b19c1fb05 456 identity() TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 457
narshu 25:143b19c1fb05 458
narshu 25:143b19c1fb05 459 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 460 XprMatrix<
narshu 25:143b19c1fb05 461 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 462 Rows, Cols
narshu 25:143b19c1fb05 463 >
narshu 25:143b19c1fb05 464 cmatrix_ref(const T* mem) TVMET_CXX_ALWAYS_INLINE;
narshu 25:143b19c1fb05 465
narshu 25:143b19c1fb05 466
narshu 25:143b19c1fb05 467 /*********************************************************
narshu 25:143b19c1fb05 468 * PART II: IMPLEMENTATION
narshu 25:143b19c1fb05 469 *********************************************************/
narshu 25:143b19c1fb05 470
narshu 25:143b19c1fb05 471
narshu 25:143b19c1fb05 472 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 473 * Vector arithmetic functions add, sub, mul and div
narshu 25:143b19c1fb05 474 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 475
narshu 25:143b19c1fb05 476
narshu 25:143b19c1fb05 477 /*
narshu 25:143b19c1fb05 478 * function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
narshu 25:143b19c1fb05 479 * function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>)
narshu 25:143b19c1fb05 480 * function(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>)
narshu 25:143b19c1fb05 481 */
narshu 25:143b19c1fb05 482 #define TVMET_IMPLEMENT_MACRO(NAME) \
narshu 25:143b19c1fb05 483 template<class T1, class T2, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 484 inline \
narshu 25:143b19c1fb05 485 XprMatrix< \
narshu 25:143b19c1fb05 486 XprBinOp< \
narshu 25:143b19c1fb05 487 Fcnl_##NAME<T1, T2>, \
narshu 25:143b19c1fb05 488 MatrixConstReference<T1, Rows, Cols>, \
narshu 25:143b19c1fb05 489 MatrixConstReference<T2, Rows, Cols> \
narshu 25:143b19c1fb05 490 >, \
narshu 25:143b19c1fb05 491 Rows, Cols \
narshu 25:143b19c1fb05 492 > \
narshu 25:143b19c1fb05 493 NAME (const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \
narshu 25:143b19c1fb05 494 typedef XprBinOp < \
narshu 25:143b19c1fb05 495 Fcnl_##NAME<T1, T2>, \
narshu 25:143b19c1fb05 496 MatrixConstReference<T1, Rows, Cols>, \
narshu 25:143b19c1fb05 497 MatrixConstReference<T2, Rows, Cols> \
narshu 25:143b19c1fb05 498 > expr_type; \
narshu 25:143b19c1fb05 499 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 500 expr_type(lhs.const_ref(), rhs.const_ref())); \
narshu 25:143b19c1fb05 501 } \
narshu 25:143b19c1fb05 502 \
narshu 25:143b19c1fb05 503 template<class E, class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 504 inline \
narshu 25:143b19c1fb05 505 XprMatrix< \
narshu 25:143b19c1fb05 506 XprBinOp< \
narshu 25:143b19c1fb05 507 Fcnl_##NAME<typename E::value_type, T>, \
narshu 25:143b19c1fb05 508 XprMatrix<E, Rows, Cols>, \
narshu 25:143b19c1fb05 509 MatrixConstReference<T, Rows, Cols> \
narshu 25:143b19c1fb05 510 >, \
narshu 25:143b19c1fb05 511 Rows, Cols \
narshu 25:143b19c1fb05 512 > \
narshu 25:143b19c1fb05 513 NAME (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \
narshu 25:143b19c1fb05 514 typedef XprBinOp< \
narshu 25:143b19c1fb05 515 Fcnl_##NAME<typename E::value_type, T>, \
narshu 25:143b19c1fb05 516 XprMatrix<E, Rows, Cols>, \
narshu 25:143b19c1fb05 517 MatrixConstReference<T, Rows, Cols> \
narshu 25:143b19c1fb05 518 > expr_type; \
narshu 25:143b19c1fb05 519 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 520 expr_type(lhs, rhs.const_ref())); \
narshu 25:143b19c1fb05 521 } \
narshu 25:143b19c1fb05 522 \
narshu 25:143b19c1fb05 523 template<class T, class E, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 524 inline \
narshu 25:143b19c1fb05 525 XprMatrix< \
narshu 25:143b19c1fb05 526 XprBinOp< \
narshu 25:143b19c1fb05 527 Fcnl_##NAME<typename E::value_type, T>, \
narshu 25:143b19c1fb05 528 MatrixConstReference<T, Rows, Cols>, \
narshu 25:143b19c1fb05 529 XprMatrix<E, Rows, Cols> \
narshu 25:143b19c1fb05 530 >, \
narshu 25:143b19c1fb05 531 Rows, Cols \
narshu 25:143b19c1fb05 532 > \
narshu 25:143b19c1fb05 533 NAME (const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \
narshu 25:143b19c1fb05 534 typedef XprBinOp< \
narshu 25:143b19c1fb05 535 Fcnl_##NAME<T, typename E::value_type>, \
narshu 25:143b19c1fb05 536 MatrixConstReference<T, Rows, Cols>, \
narshu 25:143b19c1fb05 537 XprMatrix<E, Rows, Cols> \
narshu 25:143b19c1fb05 538 > expr_type; \
narshu 25:143b19c1fb05 539 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 540 expr_type(lhs.const_ref(), rhs)); \
narshu 25:143b19c1fb05 541 }
narshu 25:143b19c1fb05 542
narshu 25:143b19c1fb05 543 TVMET_IMPLEMENT_MACRO(add) // per se element wise
narshu 25:143b19c1fb05 544 TVMET_IMPLEMENT_MACRO(sub) // per se element wise
narshu 25:143b19c1fb05 545 namespace element_wise {
narshu 25:143b19c1fb05 546 TVMET_IMPLEMENT_MACRO(mul) // not defined for matrizes
narshu 25:143b19c1fb05 547 TVMET_IMPLEMENT_MACRO(div) // not defined for matrizes
narshu 25:143b19c1fb05 548 }
narshu 25:143b19c1fb05 549
narshu 25:143b19c1fb05 550 #undef TVMET_IMPLEMENT_MACRO
narshu 25:143b19c1fb05 551
narshu 25:143b19c1fb05 552
narshu 25:143b19c1fb05 553 /*
narshu 25:143b19c1fb05 554 * function(Matrix<T, Rows, Cols>, POD)
narshu 25:143b19c1fb05 555 * function(POD, Matrix<T, Rows, Cols>)
narshu 25:143b19c1fb05 556 * Note: - operations +,-,*,/ are per se element wise
narshu 25:143b19c1fb05 557 */
narshu 25:143b19c1fb05 558 #define TVMET_IMPLEMENT_MACRO(NAME, POD) \
narshu 25:143b19c1fb05 559 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 560 inline \
narshu 25:143b19c1fb05 561 XprMatrix< \
narshu 25:143b19c1fb05 562 XprBinOp< \
narshu 25:143b19c1fb05 563 Fcnl_##NAME<T, POD >, \
narshu 25:143b19c1fb05 564 MatrixConstReference<T, Rows, Cols>, \
narshu 25:143b19c1fb05 565 XprLiteral<POD > \
narshu 25:143b19c1fb05 566 >, \
narshu 25:143b19c1fb05 567 Rows, Cols \
narshu 25:143b19c1fb05 568 > \
narshu 25:143b19c1fb05 569 NAME (const Matrix<T, Rows, Cols>& lhs, POD rhs) { \
narshu 25:143b19c1fb05 570 typedef XprBinOp< \
narshu 25:143b19c1fb05 571 Fcnl_##NAME<T, POD >, \
narshu 25:143b19c1fb05 572 MatrixConstReference<T, Rows, Cols>, \
narshu 25:143b19c1fb05 573 XprLiteral< POD > \
narshu 25:143b19c1fb05 574 > expr_type; \
narshu 25:143b19c1fb05 575 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 576 expr_type(lhs.const_ref(), XprLiteral< POD >(rhs))); \
narshu 25:143b19c1fb05 577 } \
narshu 25:143b19c1fb05 578 \
narshu 25:143b19c1fb05 579 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 580 inline \
narshu 25:143b19c1fb05 581 XprMatrix< \
narshu 25:143b19c1fb05 582 XprBinOp< \
narshu 25:143b19c1fb05 583 Fcnl_##NAME< POD, T>, \
narshu 25:143b19c1fb05 584 XprLiteral< POD >, \
narshu 25:143b19c1fb05 585 MatrixConstReference<T, Rows, Cols> \
narshu 25:143b19c1fb05 586 >, \
narshu 25:143b19c1fb05 587 Rows, Cols \
narshu 25:143b19c1fb05 588 > \
narshu 25:143b19c1fb05 589 NAME (POD lhs, const Matrix<T, Rows, Cols>& rhs) { \
narshu 25:143b19c1fb05 590 typedef XprBinOp< \
narshu 25:143b19c1fb05 591 Fcnl_##NAME< POD, T>, \
narshu 25:143b19c1fb05 592 XprLiteral< POD >, \
narshu 25:143b19c1fb05 593 MatrixConstReference<T, Rows, Cols> \
narshu 25:143b19c1fb05 594 > expr_type; \
narshu 25:143b19c1fb05 595 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 596 expr_type(XprLiteral< POD >(lhs), rhs.const_ref())); \
narshu 25:143b19c1fb05 597 }
narshu 25:143b19c1fb05 598
narshu 25:143b19c1fb05 599 TVMET_IMPLEMENT_MACRO(add, int)
narshu 25:143b19c1fb05 600 TVMET_IMPLEMENT_MACRO(sub, int)
narshu 25:143b19c1fb05 601 TVMET_IMPLEMENT_MACRO(mul, int)
narshu 25:143b19c1fb05 602 TVMET_IMPLEMENT_MACRO(div, int)
narshu 25:143b19c1fb05 603
narshu 25:143b19c1fb05 604 #if defined(TVMET_HAVE_LONG_LONG)
narshu 25:143b19c1fb05 605 TVMET_IMPLEMENT_MACRO(add, long long int)
narshu 25:143b19c1fb05 606 TVMET_IMPLEMENT_MACRO(sub, long long int)
narshu 25:143b19c1fb05 607 TVMET_IMPLEMENT_MACRO(mul, long long int)
narshu 25:143b19c1fb05 608 TVMET_IMPLEMENT_MACRO(div, long long int)
narshu 25:143b19c1fb05 609 #endif
narshu 25:143b19c1fb05 610
narshu 25:143b19c1fb05 611 TVMET_IMPLEMENT_MACRO(add, float)
narshu 25:143b19c1fb05 612 TVMET_IMPLEMENT_MACRO(sub, float)
narshu 25:143b19c1fb05 613 TVMET_IMPLEMENT_MACRO(mul, float)
narshu 25:143b19c1fb05 614 TVMET_IMPLEMENT_MACRO(div, float)
narshu 25:143b19c1fb05 615
narshu 25:143b19c1fb05 616 TVMET_IMPLEMENT_MACRO(add, double)
narshu 25:143b19c1fb05 617 TVMET_IMPLEMENT_MACRO(sub, double)
narshu 25:143b19c1fb05 618 TVMET_IMPLEMENT_MACRO(mul, double)
narshu 25:143b19c1fb05 619 TVMET_IMPLEMENT_MACRO(div, double)
narshu 25:143b19c1fb05 620
narshu 25:143b19c1fb05 621 #if defined(TVMET_HAVE_LONG_DOUBLE)
narshu 25:143b19c1fb05 622 TVMET_IMPLEMENT_MACRO(add, long double)
narshu 25:143b19c1fb05 623 TVMET_IMPLEMENT_MACRO(sub, long double)
narshu 25:143b19c1fb05 624 TVMET_IMPLEMENT_MACRO(mul, long double)
narshu 25:143b19c1fb05 625 TVMET_IMPLEMENT_MACRO(div, long double)
narshu 25:143b19c1fb05 626 #endif
narshu 25:143b19c1fb05 627
narshu 25:143b19c1fb05 628 #undef TVMET_IMPLEMENT_MACRO
narshu 25:143b19c1fb05 629
narshu 25:143b19c1fb05 630
narshu 25:143b19c1fb05 631 #if defined(TVMET_HAVE_COMPLEX)
narshu 25:143b19c1fb05 632 /*
narshu 25:143b19c1fb05 633 * function(Matrix<T, Rows, Cols>, complex<T>)
narshu 25:143b19c1fb05 634 * function(complex<T>, Matrix<T, Rows, Cols>)
narshu 25:143b19c1fb05 635 * Note: - operations +,-,*,/ are per se element wise
narshu 25:143b19c1fb05 636 * \todo type promotion
narshu 25:143b19c1fb05 637 */
narshu 25:143b19c1fb05 638 #define TVMET_IMPLEMENT_MACRO(NAME) \
narshu 25:143b19c1fb05 639 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 640 inline \
narshu 25:143b19c1fb05 641 XprMatrix< \
narshu 25:143b19c1fb05 642 XprBinOp< \
narshu 25:143b19c1fb05 643 Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
narshu 25:143b19c1fb05 644 MatrixConstReference< std::complex<T>, Rows, Cols>, \
narshu 25:143b19c1fb05 645 XprLiteral<std::complex<T> > \
narshu 25:143b19c1fb05 646 >, \
narshu 25:143b19c1fb05 647 Rows, Cols \
narshu 25:143b19c1fb05 648 > \
narshu 25:143b19c1fb05 649 NAME (const Matrix< std::complex<T>, Rows, Cols>& lhs, \
narshu 25:143b19c1fb05 650 const std::complex<T>& rhs) { \
narshu 25:143b19c1fb05 651 typedef XprBinOp< \
narshu 25:143b19c1fb05 652 Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
narshu 25:143b19c1fb05 653 MatrixConstReference< std::complex<T>, Rows, Cols>, \
narshu 25:143b19c1fb05 654 XprLiteral< std::complex<T> > \
narshu 25:143b19c1fb05 655 > expr_type; \
narshu 25:143b19c1fb05 656 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 657 expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); \
narshu 25:143b19c1fb05 658 } \
narshu 25:143b19c1fb05 659 \
narshu 25:143b19c1fb05 660 template<class T, std::size_t Rows, std::size_t Cols> \
narshu 25:143b19c1fb05 661 inline \
narshu 25:143b19c1fb05 662 XprMatrix< \
narshu 25:143b19c1fb05 663 XprBinOp< \
narshu 25:143b19c1fb05 664 Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
narshu 25:143b19c1fb05 665 XprLiteral< std::complex<T> >, \
narshu 25:143b19c1fb05 666 MatrixConstReference< std::complex<T>, Rows, Cols> \
narshu 25:143b19c1fb05 667 >, \
narshu 25:143b19c1fb05 668 Rows, Cols \
narshu 25:143b19c1fb05 669 > \
narshu 25:143b19c1fb05 670 NAME (const std::complex<T>& lhs, \
narshu 25:143b19c1fb05 671 const Matrix< std::complex<T>, Rows, Cols>& rhs) { \
narshu 25:143b19c1fb05 672 typedef XprBinOp< \
narshu 25:143b19c1fb05 673 Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
narshu 25:143b19c1fb05 674 XprLiteral< std::complex<T> >, \
narshu 25:143b19c1fb05 675 MatrixConstReference<std::complex<T>, Rows, Cols> \
narshu 25:143b19c1fb05 676 > expr_type; \
narshu 25:143b19c1fb05 677 return XprMatrix<expr_type, Rows, Cols>( \
narshu 25:143b19c1fb05 678 expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref())); \
narshu 25:143b19c1fb05 679 }
narshu 25:143b19c1fb05 680
narshu 25:143b19c1fb05 681 TVMET_IMPLEMENT_MACRO(add)
narshu 25:143b19c1fb05 682 TVMET_IMPLEMENT_MACRO(sub)
narshu 25:143b19c1fb05 683 TVMET_IMPLEMENT_MACRO(mul)
narshu 25:143b19c1fb05 684 TVMET_IMPLEMENT_MACRO(div)
narshu 25:143b19c1fb05 685
narshu 25:143b19c1fb05 686 #undef TVMET_IMPLEMENT_MACRO
narshu 25:143b19c1fb05 687
narshu 25:143b19c1fb05 688 #endif // defined(TVMET_HAVE_COMPLEX)
narshu 25:143b19c1fb05 689
narshu 25:143b19c1fb05 690
narshu 25:143b19c1fb05 691 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 692 * matrix specific prod( ... ) functions
narshu 25:143b19c1fb05 693 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 694
narshu 25:143b19c1fb05 695
narshu 25:143b19c1fb05 696 /**
narshu 25:143b19c1fb05 697 * \fn prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
narshu 25:143b19c1fb05 698 * \brief Function for the matrix-matrix-product.
narshu 25:143b19c1fb05 699 * \ingroup _binary_function
narshu 25:143b19c1fb05 700 * \note The rows2 has to be equal to cols1.
narshu 25:143b19c1fb05 701 */
narshu 25:143b19c1fb05 702 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 703 class T2, std::size_t Cols2>
narshu 25:143b19c1fb05 704 inline
narshu 25:143b19c1fb05 705 XprMatrix<
narshu 25:143b19c1fb05 706 XprMMProduct<
narshu 25:143b19c1fb05 707 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 708 MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 709 >,
narshu 25:143b19c1fb05 710 Rows1, Cols2 // return Dim
narshu 25:143b19c1fb05 711 >
narshu 25:143b19c1fb05 712 prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) {
narshu 25:143b19c1fb05 713 typedef XprMMProduct<
narshu 25:143b19c1fb05 714 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
narshu 25:143b19c1fb05 715 MatrixConstReference<T2, Cols1, Cols2>, Cols2
narshu 25:143b19c1fb05 716 > expr_type;
narshu 25:143b19c1fb05 717 return XprMatrix<expr_type, Rows1, Cols2>(
narshu 25:143b19c1fb05 718 expr_type(lhs.const_ref(), rhs.const_ref()));
narshu 25:143b19c1fb05 719 }
narshu 25:143b19c1fb05 720
narshu 25:143b19c1fb05 721
narshu 25:143b19c1fb05 722 /**
narshu 25:143b19c1fb05 723 * \fn prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
narshu 25:143b19c1fb05 724 * \brief Evaluate the product of XprMatrix and Matrix.
narshu 25:143b19c1fb05 725 * \ingroup _binary_function
narshu 25:143b19c1fb05 726 */
narshu 25:143b19c1fb05 727 template<class E1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 728 class T2, std::size_t Cols2>
narshu 25:143b19c1fb05 729 inline
narshu 25:143b19c1fb05 730 XprMatrix<
narshu 25:143b19c1fb05 731 XprMMProduct<
narshu 25:143b19c1fb05 732 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 733 MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 734 >,
narshu 25:143b19c1fb05 735 Rows1, Cols2 // return Dim
narshu 25:143b19c1fb05 736 >
narshu 25:143b19c1fb05 737 prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) {
narshu 25:143b19c1fb05 738 typedef XprMMProduct<
narshu 25:143b19c1fb05 739 XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
narshu 25:143b19c1fb05 740 MatrixConstReference<T2, Cols1, Cols2>, Cols2
narshu 25:143b19c1fb05 741 > expr_type;
narshu 25:143b19c1fb05 742 return XprMatrix<expr_type, Rows1, Cols2>(
narshu 25:143b19c1fb05 743 expr_type(lhs, rhs.const_ref()));
narshu 25:143b19c1fb05 744 }
narshu 25:143b19c1fb05 745
narshu 25:143b19c1fb05 746
narshu 25:143b19c1fb05 747 /**
narshu 25:143b19c1fb05 748 * \fn prod(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs)
narshu 25:143b19c1fb05 749 * \brief Evaluate the product of Matrix and XprMatrix.
narshu 25:143b19c1fb05 750 * \ingroup _binary_function
narshu 25:143b19c1fb05 751 */
narshu 25:143b19c1fb05 752 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 753 class E2, std::size_t Cols2>
narshu 25:143b19c1fb05 754 inline
narshu 25:143b19c1fb05 755 XprMatrix<
narshu 25:143b19c1fb05 756 XprMMProduct<
narshu 25:143b19c1fb05 757 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 758 XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 759 >,
narshu 25:143b19c1fb05 760 Rows1, Cols2 // return Dim
narshu 25:143b19c1fb05 761 >
narshu 25:143b19c1fb05 762 prod(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) {
narshu 25:143b19c1fb05 763 typedef XprMMProduct<
narshu 25:143b19c1fb05 764 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
narshu 25:143b19c1fb05 765 XprMatrix<E2, Cols1, Cols2>, Cols2
narshu 25:143b19c1fb05 766 > expr_type;
narshu 25:143b19c1fb05 767 return XprMatrix<expr_type, Rows1, Cols2>(
narshu 25:143b19c1fb05 768 expr_type(lhs.const_ref(), rhs));
narshu 25:143b19c1fb05 769 }
narshu 25:143b19c1fb05 770
narshu 25:143b19c1fb05 771
narshu 25:143b19c1fb05 772 /**
narshu 25:143b19c1fb05 773 * \fn trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
narshu 25:143b19c1fb05 774 * \brief Function for the trans(matrix-matrix-product)
narshu 25:143b19c1fb05 775 * \ingroup _binary_function
narshu 25:143b19c1fb05 776 * Perform on given Matrix M1 and M2:
narshu 25:143b19c1fb05 777 * \f[
narshu 25:143b19c1fb05 778 * (M_1\,M_2)^T
narshu 25:143b19c1fb05 779 * \f]
narshu 25:143b19c1fb05 780 */
narshu 25:143b19c1fb05 781 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 782 class T2, std::size_t Cols2>
narshu 25:143b19c1fb05 783 inline
narshu 25:143b19c1fb05 784 XprMatrix<
narshu 25:143b19c1fb05 785 XprMMProductTransposed<
narshu 25:143b19c1fb05 786 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 787 MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2)
narshu 25:143b19c1fb05 788 >,
narshu 25:143b19c1fb05 789 Cols2, Rows1 // return Dim
narshu 25:143b19c1fb05 790 >
narshu 25:143b19c1fb05 791 trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) {
narshu 25:143b19c1fb05 792 typedef XprMMProductTransposed<
narshu 25:143b19c1fb05 793 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
narshu 25:143b19c1fb05 794 MatrixConstReference<T2, Cols1, Cols2>, Cols2
narshu 25:143b19c1fb05 795 > expr_type;
narshu 25:143b19c1fb05 796 return XprMatrix<expr_type, Cols2, Rows1>(
narshu 25:143b19c1fb05 797 expr_type(lhs.const_ref(), rhs.const_ref()));
narshu 25:143b19c1fb05 798 }
narshu 25:143b19c1fb05 799
narshu 25:143b19c1fb05 800
narshu 25:143b19c1fb05 801 /**
narshu 25:143b19c1fb05 802 * \fn MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows1, Cols2>& rhs)
narshu 25:143b19c1fb05 803 * \brief Function for the trans(matrix)-matrix-product.
narshu 25:143b19c1fb05 804 * \ingroup _binary_function
narshu 25:143b19c1fb05 805 * using formula
narshu 25:143b19c1fb05 806 * \f[
narshu 25:143b19c1fb05 807 * M_1^{T}\,M_2
narshu 25:143b19c1fb05 808 * \f]
narshu 25:143b19c1fb05 809 * \note The number of cols of matrix 2 have to be equal to number of rows of
narshu 25:143b19c1fb05 810 * matrix 1, since matrix 1 is trans - the result is a (Cols1 x Cols2)
narshu 25:143b19c1fb05 811 * matrix.
narshu 25:143b19c1fb05 812 */
narshu 25:143b19c1fb05 813 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 814 class T2, std::size_t Cols2> // Rows2 = Rows1
narshu 25:143b19c1fb05 815 inline
narshu 25:143b19c1fb05 816 XprMatrix<
narshu 25:143b19c1fb05 817 XprMtMProduct<
narshu 25:143b19c1fb05 818 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 819 MatrixConstReference<T2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2)
narshu 25:143b19c1fb05 820 >,
narshu 25:143b19c1fb05 821 Cols1, Cols2 // return Dim
narshu 25:143b19c1fb05 822 >
narshu 25:143b19c1fb05 823 MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows1, Cols2>& rhs) {
narshu 25:143b19c1fb05 824 typedef XprMtMProduct<
narshu 25:143b19c1fb05 825 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
narshu 25:143b19c1fb05 826 MatrixConstReference<T2, Rows1, Cols2>, Cols2
narshu 25:143b19c1fb05 827 > expr_type;
narshu 25:143b19c1fb05 828 return XprMatrix<expr_type, Cols1, Cols2>(
narshu 25:143b19c1fb05 829 expr_type(lhs.const_ref(), rhs.const_ref()));
narshu 25:143b19c1fb05 830 }
narshu 25:143b19c1fb05 831
narshu 25:143b19c1fb05 832
narshu 25:143b19c1fb05 833 /**
narshu 25:143b19c1fb05 834 * \fn MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows2, Cols1>& rhs)
narshu 25:143b19c1fb05 835 * \brief Function for the matrix-trans(matrix)-product.
narshu 25:143b19c1fb05 836 * \ingroup _binary_function
narshu 25:143b19c1fb05 837 * \note The Cols2 has to be equal to Cols1.
narshu 25:143b19c1fb05 838 */
narshu 25:143b19c1fb05 839 template<class T1, std::size_t Rows1, std::size_t Cols1,
narshu 25:143b19c1fb05 840 class T2, std::size_t Rows2>
narshu 25:143b19c1fb05 841 inline
narshu 25:143b19c1fb05 842 XprMatrix<
narshu 25:143b19c1fb05 843 XprMMtProduct<
narshu 25:143b19c1fb05 844 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1)
narshu 25:143b19c1fb05 845 MatrixConstReference<T2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1)
narshu 25:143b19c1fb05 846 >,
narshu 25:143b19c1fb05 847 Rows1, Rows2 // return Dim
narshu 25:143b19c1fb05 848 >
narshu 25:143b19c1fb05 849 MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows2, Cols1>& rhs) {
narshu 25:143b19c1fb05 850 typedef XprMMtProduct<
narshu 25:143b19c1fb05 851 MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
narshu 25:143b19c1fb05 852 MatrixConstReference<T2, Rows2, Cols1>, Cols1
narshu 25:143b19c1fb05 853 > expr_type;
narshu 25:143b19c1fb05 854 return XprMatrix<expr_type, Rows1, Rows2>(
narshu 25:143b19c1fb05 855 expr_type(lhs.const_ref(), rhs.const_ref()));
narshu 25:143b19c1fb05 856 }
narshu 25:143b19c1fb05 857
narshu 25:143b19c1fb05 858
narshu 25:143b19c1fb05 859 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 860 * matrix-vector specific prod( ... ) functions
narshu 25:143b19c1fb05 861 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 862
narshu 25:143b19c1fb05 863
narshu 25:143b19c1fb05 864 /**
narshu 25:143b19c1fb05 865 * \fn prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs)
narshu 25:143b19c1fb05 866 * \brief Function for the matrix-vector-product
narshu 25:143b19c1fb05 867 * \ingroup _binary_function
narshu 25:143b19c1fb05 868 */
narshu 25:143b19c1fb05 869 template<class T1, class T2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 870 inline
narshu 25:143b19c1fb05 871 XprVector<
narshu 25:143b19c1fb05 872 XprMVProduct<
narshu 25:143b19c1fb05 873 MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols)
narshu 25:143b19c1fb05 874 VectorConstReference<T2, Cols> // V
narshu 25:143b19c1fb05 875 >,
narshu 25:143b19c1fb05 876 Rows
narshu 25:143b19c1fb05 877 >
narshu 25:143b19c1fb05 878 prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) {
narshu 25:143b19c1fb05 879 typedef XprMVProduct<
narshu 25:143b19c1fb05 880 MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
narshu 25:143b19c1fb05 881 VectorConstReference<T2, Cols>
narshu 25:143b19c1fb05 882 > expr_type;
narshu 25:143b19c1fb05 883 return XprVector<expr_type, Rows>(
narshu 25:143b19c1fb05 884 expr_type(lhs.const_ref(), rhs.const_ref()));
narshu 25:143b19c1fb05 885 }
narshu 25:143b19c1fb05 886
narshu 25:143b19c1fb05 887
narshu 25:143b19c1fb05 888 /**
narshu 25:143b19c1fb05 889 * \fn prod(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs)
narshu 25:143b19c1fb05 890 * \brief Function for the matrix-vector-product
narshu 25:143b19c1fb05 891 * \ingroup _binary_function
narshu 25:143b19c1fb05 892 */
narshu 25:143b19c1fb05 893 template<class T1, class E2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 894 inline
narshu 25:143b19c1fb05 895 XprVector<
narshu 25:143b19c1fb05 896 XprMVProduct<
narshu 25:143b19c1fb05 897 MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
narshu 25:143b19c1fb05 898 XprVector<E2, Cols>
narshu 25:143b19c1fb05 899 >,
narshu 25:143b19c1fb05 900 Rows
narshu 25:143b19c1fb05 901 >
narshu 25:143b19c1fb05 902 prod(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) {
narshu 25:143b19c1fb05 903 typedef XprMVProduct<
narshu 25:143b19c1fb05 904 MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
narshu 25:143b19c1fb05 905 XprVector<E2, Cols>
narshu 25:143b19c1fb05 906 > expr_type;
narshu 25:143b19c1fb05 907 return XprVector<expr_type, Rows>(
narshu 25:143b19c1fb05 908 expr_type(lhs.const_ref(), rhs));
narshu 25:143b19c1fb05 909 }
narshu 25:143b19c1fb05 910
narshu 25:143b19c1fb05 911
narshu 25:143b19c1fb05 912 /*
narshu 25:143b19c1fb05 913 * \fn prod(const XprMatrix<E, Rows, Cols>& lhs, const Vector<T, Cols>& rhs)
narshu 25:143b19c1fb05 914 * \brief Compute the product of an XprMatrix with a Vector.
narshu 25:143b19c1fb05 915 * \ingroup _binary_function
narshu 25:143b19c1fb05 916 */
narshu 25:143b19c1fb05 917 template<class E1, class T2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 918 inline
narshu 25:143b19c1fb05 919 XprVector<
narshu 25:143b19c1fb05 920 XprMVProduct<
narshu 25:143b19c1fb05 921 XprMatrix<E1, Rows, Cols>, Rows, Cols, // M(Rows, Cols)
narshu 25:143b19c1fb05 922 VectorConstReference<T2, Cols> // V
narshu 25:143b19c1fb05 923 >,
narshu 25:143b19c1fb05 924 Rows
narshu 25:143b19c1fb05 925 >
narshu 25:143b19c1fb05 926 prod(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) {
narshu 25:143b19c1fb05 927 typedef XprMVProduct<
narshu 25:143b19c1fb05 928 XprMatrix<E1, Rows, Cols>, Rows, Cols,
narshu 25:143b19c1fb05 929 VectorConstReference<T2, Cols>
narshu 25:143b19c1fb05 930 > expr_type;
narshu 25:143b19c1fb05 931 return XprVector<expr_type, Rows>(
narshu 25:143b19c1fb05 932 expr_type(lhs, rhs.const_ref()));
narshu 25:143b19c1fb05 933 }
narshu 25:143b19c1fb05 934
narshu 25:143b19c1fb05 935
narshu 25:143b19c1fb05 936 /**
narshu 25:143b19c1fb05 937 * \fn Mtx_prod(const Matrix<T1, Rows, Cols>& matrix, const Vector<T2, Rows>& vector)
narshu 25:143b19c1fb05 938 * \brief Function for the trans(matrix)-vector-product
narshu 25:143b19c1fb05 939 * \ingroup _binary_function
narshu 25:143b19c1fb05 940 * Perform on given Matrix M and vector x:
narshu 25:143b19c1fb05 941 * \f[
narshu 25:143b19c1fb05 942 * M^T\, x
narshu 25:143b19c1fb05 943 * \f]
narshu 25:143b19c1fb05 944 */
narshu 25:143b19c1fb05 945 template<class T1, class T2, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 946 inline
narshu 25:143b19c1fb05 947 XprVector<
narshu 25:143b19c1fb05 948 XprMtVProduct<
narshu 25:143b19c1fb05 949 MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols)
narshu 25:143b19c1fb05 950 VectorConstReference<T2, Rows> // V
narshu 25:143b19c1fb05 951 >,
narshu 25:143b19c1fb05 952 Cols
narshu 25:143b19c1fb05 953 >
narshu 25:143b19c1fb05 954 Mtx_prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Rows>& rhs) {
narshu 25:143b19c1fb05 955 typedef XprMtVProduct<
narshu 25:143b19c1fb05 956 MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
narshu 25:143b19c1fb05 957 VectorConstReference<T2, Rows>
narshu 25:143b19c1fb05 958 > expr_type;
narshu 25:143b19c1fb05 959 return XprVector<expr_type, Cols>(
narshu 25:143b19c1fb05 960 expr_type(lhs.const_ref(), rhs.const_ref()));
narshu 25:143b19c1fb05 961 }
narshu 25:143b19c1fb05 962
narshu 25:143b19c1fb05 963
narshu 25:143b19c1fb05 964 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 965 * matrix specific functions
narshu 25:143b19c1fb05 966 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 967
narshu 25:143b19c1fb05 968
narshu 25:143b19c1fb05 969 /**
narshu 25:143b19c1fb05 970 * \fn trans(const Matrix<T, Rows, Cols>& rhs)
narshu 25:143b19c1fb05 971 * \brief Transpose the matrix
narshu 25:143b19c1fb05 972 * \ingroup _unary_function
narshu 25:143b19c1fb05 973 */
narshu 25:143b19c1fb05 974 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 975 inline
narshu 25:143b19c1fb05 976 XprMatrix<
narshu 25:143b19c1fb05 977 XprMatrixTranspose<
narshu 25:143b19c1fb05 978 MatrixConstReference<T, Rows, Cols>
narshu 25:143b19c1fb05 979 >,
narshu 25:143b19c1fb05 980 Cols, Rows
narshu 25:143b19c1fb05 981 >
narshu 25:143b19c1fb05 982 trans(const Matrix<T, Rows, Cols>& rhs) {
narshu 25:143b19c1fb05 983 typedef XprMatrixTranspose<
narshu 25:143b19c1fb05 984 MatrixConstReference<T, Rows, Cols>
narshu 25:143b19c1fb05 985 > expr_type;
narshu 25:143b19c1fb05 986 return XprMatrix<expr_type, Cols, Rows>(
narshu 25:143b19c1fb05 987 expr_type(rhs.const_ref()));
narshu 25:143b19c1fb05 988 }
narshu 25:143b19c1fb05 989
narshu 25:143b19c1fb05 990
narshu 25:143b19c1fb05 991 /*
narshu 25:143b19c1fb05 992 * \fn trace(const Matrix<T, Sz, Sz>& m)
narshu 25:143b19c1fb05 993 * \brief Compute the trace of a square matrix.
narshu 25:143b19c1fb05 994 * \ingroup _unary_function
narshu 25:143b19c1fb05 995 *
narshu 25:143b19c1fb05 996 * Simply compute the trace of the given matrix as:
narshu 25:143b19c1fb05 997 * \f[
narshu 25:143b19c1fb05 998 * \sum_{k = 0}^{Sz-1} m(k, k)
narshu 25:143b19c1fb05 999 * \f]
narshu 25:143b19c1fb05 1000 */
narshu 25:143b19c1fb05 1001 template<class T, std::size_t Sz>
narshu 25:143b19c1fb05 1002 inline
narshu 25:143b19c1fb05 1003 typename NumericTraits<T>::sum_type
narshu 25:143b19c1fb05 1004 trace(const Matrix<T, Sz, Sz>& m) {
narshu 25:143b19c1fb05 1005 return meta::Matrix<Sz, Sz, 0, 0>::trace(m);
narshu 25:143b19c1fb05 1006 }
narshu 25:143b19c1fb05 1007
narshu 25:143b19c1fb05 1008
narshu 25:143b19c1fb05 1009 /**
narshu 25:143b19c1fb05 1010 * \fn row(const Matrix<T, Rows, Cols>& m, std::size_t no)
narshu 25:143b19c1fb05 1011 * \brief Returns a row vector of the given matrix.
narshu 25:143b19c1fb05 1012 * \ingroup _binary_function
narshu 25:143b19c1fb05 1013 */
narshu 25:143b19c1fb05 1014 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1015 inline
narshu 25:143b19c1fb05 1016 XprVector<
narshu 25:143b19c1fb05 1017 XprMatrixRow<
narshu 25:143b19c1fb05 1018 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 1019 Rows, Cols
narshu 25:143b19c1fb05 1020 >,
narshu 25:143b19c1fb05 1021 Cols
narshu 25:143b19c1fb05 1022 >
narshu 25:143b19c1fb05 1023 row(const Matrix<T, Rows, Cols>& m, std::size_t no) {
narshu 25:143b19c1fb05 1024 typedef XprMatrixRow<
narshu 25:143b19c1fb05 1025 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 1026 Rows, Cols
narshu 25:143b19c1fb05 1027 > expr_type;
narshu 25:143b19c1fb05 1028 return XprVector<expr_type, Cols>(expr_type(m.const_ref(), no));
narshu 25:143b19c1fb05 1029 }
narshu 25:143b19c1fb05 1030
narshu 25:143b19c1fb05 1031
narshu 25:143b19c1fb05 1032 /**
narshu 25:143b19c1fb05 1033 * \fn col(const Matrix<T, Rows, Cols>& m, std::size_t no)
narshu 25:143b19c1fb05 1034 * \brief Returns a column vector of the given matrix.
narshu 25:143b19c1fb05 1035 * \ingroup _binary_function
narshu 25:143b19c1fb05 1036 */
narshu 25:143b19c1fb05 1037 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1038 inline
narshu 25:143b19c1fb05 1039 XprVector<
narshu 25:143b19c1fb05 1040 XprMatrixCol<
narshu 25:143b19c1fb05 1041 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 1042 Rows, Cols
narshu 25:143b19c1fb05 1043 >,
narshu 25:143b19c1fb05 1044 Rows
narshu 25:143b19c1fb05 1045 >
narshu 25:143b19c1fb05 1046 col(const Matrix<T, Rows, Cols>& m, std::size_t no) {
narshu 25:143b19c1fb05 1047 typedef XprMatrixCol<
narshu 25:143b19c1fb05 1048 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 1049 Rows, Cols
narshu 25:143b19c1fb05 1050 > expr_type;
narshu 25:143b19c1fb05 1051 return XprVector<expr_type, Rows>(expr_type(m.const_ref(), no));
narshu 25:143b19c1fb05 1052 }
narshu 25:143b19c1fb05 1053
narshu 25:143b19c1fb05 1054
narshu 25:143b19c1fb05 1055 /**
narshu 25:143b19c1fb05 1056 * \fn diag(const Matrix<T, Sz, Sz>& m)
narshu 25:143b19c1fb05 1057 * \brief Returns the diagonal vector of the given square matrix.
narshu 25:143b19c1fb05 1058 * \ingroup _unary_function
narshu 25:143b19c1fb05 1059 */
narshu 25:143b19c1fb05 1060 template<class T, std::size_t Sz>
narshu 25:143b19c1fb05 1061 inline
narshu 25:143b19c1fb05 1062 XprVector<
narshu 25:143b19c1fb05 1063 XprMatrixDiag<
narshu 25:143b19c1fb05 1064 MatrixConstReference<T, Sz, Sz>,
narshu 25:143b19c1fb05 1065 Sz
narshu 25:143b19c1fb05 1066 >,
narshu 25:143b19c1fb05 1067 Sz
narshu 25:143b19c1fb05 1068 >
narshu 25:143b19c1fb05 1069 diag(const Matrix<T, Sz, Sz>& m) {
narshu 25:143b19c1fb05 1070 typedef XprMatrixDiag<
narshu 25:143b19c1fb05 1071 MatrixConstReference<T, Sz, Sz>,
narshu 25:143b19c1fb05 1072 Sz
narshu 25:143b19c1fb05 1073 > expr_type;
narshu 25:143b19c1fb05 1074 return XprVector<expr_type, Sz>(expr_type(m.const_ref()));
narshu 25:143b19c1fb05 1075 }
narshu 25:143b19c1fb05 1076
narshu 25:143b19c1fb05 1077
narshu 25:143b19c1fb05 1078 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 1079 * min/max unary functions
narshu 25:143b19c1fb05 1080 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 1081
narshu 25:143b19c1fb05 1082
narshu 25:143b19c1fb05 1083 /**
narshu 25:143b19c1fb05 1084 * \fn maximum(const XprMatrix<E, Rows, Cols>& e)
narshu 25:143b19c1fb05 1085 * \brief Find the maximum of a matrix expression
narshu 25:143b19c1fb05 1086 * \ingroup _unary_function
narshu 25:143b19c1fb05 1087 */
narshu 25:143b19c1fb05 1088 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1089 inline
narshu 25:143b19c1fb05 1090 Extremum<typename E::value_type, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 1091 maximum(const XprMatrix<E, Rows, Cols>& e) {
narshu 25:143b19c1fb05 1092 typedef typename E::value_type value_type;
narshu 25:143b19c1fb05 1093
narshu 25:143b19c1fb05 1094 value_type temp(e(0, 0));
narshu 25:143b19c1fb05 1095 std::size_t row_no(0), col_no(0);
narshu 25:143b19c1fb05 1096
narshu 25:143b19c1fb05 1097 for(std::size_t i = 0; i != Rows; ++i) {
narshu 25:143b19c1fb05 1098 for(std::size_t j = 0; j != Cols; ++j) {
narshu 25:143b19c1fb05 1099 if(e(i, j) > temp) {
narshu 25:143b19c1fb05 1100 temp = e(i, j);
narshu 25:143b19c1fb05 1101 row_no = i;
narshu 25:143b19c1fb05 1102 col_no = j;
narshu 25:143b19c1fb05 1103 }
narshu 25:143b19c1fb05 1104 }
narshu 25:143b19c1fb05 1105 }
narshu 25:143b19c1fb05 1106
narshu 25:143b19c1fb05 1107 return Extremum<value_type, std::size_t, matrix_tag>(temp, row_no, col_no);
narshu 25:143b19c1fb05 1108 }
narshu 25:143b19c1fb05 1109
narshu 25:143b19c1fb05 1110
narshu 25:143b19c1fb05 1111 /**
narshu 25:143b19c1fb05 1112 * \fn maximum(const Matrix<T, Rows, Cols>& m)
narshu 25:143b19c1fb05 1113 * \brief Find the maximum of a matrix
narshu 25:143b19c1fb05 1114 * \ingroup _unary_function
narshu 25:143b19c1fb05 1115 */
narshu 25:143b19c1fb05 1116 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1117 inline
narshu 25:143b19c1fb05 1118 Extremum<T, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 1119 maximum(const Matrix<T, Rows, Cols>& m) { return maximum(m.as_expr()); }
narshu 25:143b19c1fb05 1120
narshu 25:143b19c1fb05 1121
narshu 25:143b19c1fb05 1122 /**
narshu 25:143b19c1fb05 1123 * \fn minimum(const XprMatrix<E, Rows, Cols>& e)
narshu 25:143b19c1fb05 1124 * \brief Find the minimum of a matrix expression
narshu 25:143b19c1fb05 1125 * \ingroup _unary_function
narshu 25:143b19c1fb05 1126 */
narshu 25:143b19c1fb05 1127 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1128 inline
narshu 25:143b19c1fb05 1129 Extremum<typename E::value_type, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 1130 minimum(const XprMatrix<E, Rows, Cols>& e) {
narshu 25:143b19c1fb05 1131 typedef typename E::value_type value_type;
narshu 25:143b19c1fb05 1132
narshu 25:143b19c1fb05 1133 value_type temp(e(0, 0));
narshu 25:143b19c1fb05 1134 std::size_t row_no(0), col_no(0);
narshu 25:143b19c1fb05 1135
narshu 25:143b19c1fb05 1136 for(std::size_t i = 0; i != Rows; ++i) {
narshu 25:143b19c1fb05 1137 for(std::size_t j = 0; j != Cols; ++j) {
narshu 25:143b19c1fb05 1138 if(e(i, j) < temp) {
narshu 25:143b19c1fb05 1139 temp = e(i, j);
narshu 25:143b19c1fb05 1140 row_no = i;
narshu 25:143b19c1fb05 1141 col_no = j;
narshu 25:143b19c1fb05 1142 }
narshu 25:143b19c1fb05 1143 }
narshu 25:143b19c1fb05 1144 }
narshu 25:143b19c1fb05 1145
narshu 25:143b19c1fb05 1146 return Extremum<value_type, std::size_t, matrix_tag>(temp, row_no, col_no);
narshu 25:143b19c1fb05 1147 }
narshu 25:143b19c1fb05 1148
narshu 25:143b19c1fb05 1149
narshu 25:143b19c1fb05 1150 /**
narshu 25:143b19c1fb05 1151 * \fn minimum(const Matrix<T, Rows, Cols>& m)
narshu 25:143b19c1fb05 1152 * \brief Find the minimum of a matrix
narshu 25:143b19c1fb05 1153 * \ingroup _unary_function
narshu 25:143b19c1fb05 1154 */
narshu 25:143b19c1fb05 1155 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1156 inline
narshu 25:143b19c1fb05 1157 Extremum<T, std::size_t, matrix_tag>
narshu 25:143b19c1fb05 1158 minimum(const Matrix<T, Rows, Cols>& m) { return minimum(m.as_expr()); }
narshu 25:143b19c1fb05 1159
narshu 25:143b19c1fb05 1160
narshu 25:143b19c1fb05 1161 /**
narshu 25:143b19c1fb05 1162 * \fn max(const XprMatrix<E, Rows, Cols>& e)
narshu 25:143b19c1fb05 1163 * \brief Find the maximum of a matrix expression
narshu 25:143b19c1fb05 1164 * \ingroup _unary_function
narshu 25:143b19c1fb05 1165 */
narshu 25:143b19c1fb05 1166 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1167 inline
narshu 25:143b19c1fb05 1168 typename E::value_type
narshu 25:143b19c1fb05 1169 max(const XprMatrix<E, Rows, Cols>& e) {
narshu 25:143b19c1fb05 1170 typedef typename E::value_type value_type;
narshu 25:143b19c1fb05 1171
narshu 25:143b19c1fb05 1172 value_type temp(e(0, 0));
narshu 25:143b19c1fb05 1173
narshu 25:143b19c1fb05 1174 for(std::size_t i = 0; i != Rows; ++i)
narshu 25:143b19c1fb05 1175 for(std::size_t j = 0; j != Cols; ++j)
narshu 25:143b19c1fb05 1176 if(e(i, j) > temp)
narshu 25:143b19c1fb05 1177 temp = e(i, j);
narshu 25:143b19c1fb05 1178
narshu 25:143b19c1fb05 1179 return temp;
narshu 25:143b19c1fb05 1180 }
narshu 25:143b19c1fb05 1181
narshu 25:143b19c1fb05 1182
narshu 25:143b19c1fb05 1183 /**
narshu 25:143b19c1fb05 1184 * \fn max(const Matrix<T, Rows, Cols>& m)
narshu 25:143b19c1fb05 1185 * \brief Find the maximum of a matrix
narshu 25:143b19c1fb05 1186 * \ingroup _unary_function
narshu 25:143b19c1fb05 1187 */
narshu 25:143b19c1fb05 1188 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1189 inline
narshu 25:143b19c1fb05 1190 T max(const Matrix<T, Rows, Cols>& m) {
narshu 25:143b19c1fb05 1191 typedef T value_type;
narshu 25:143b19c1fb05 1192 typedef typename Matrix<
narshu 25:143b19c1fb05 1193 T, Rows, Cols
narshu 25:143b19c1fb05 1194 >::const_iterator const_iterator;
narshu 25:143b19c1fb05 1195
narshu 25:143b19c1fb05 1196 const_iterator iter(m.begin());
narshu 25:143b19c1fb05 1197 const_iterator last(m.end());
narshu 25:143b19c1fb05 1198 value_type temp(*iter);
narshu 25:143b19c1fb05 1199
narshu 25:143b19c1fb05 1200 for( ; iter != last; ++iter)
narshu 25:143b19c1fb05 1201 if(*iter > temp)
narshu 25:143b19c1fb05 1202 temp = *iter;
narshu 25:143b19c1fb05 1203
narshu 25:143b19c1fb05 1204 return temp;
narshu 25:143b19c1fb05 1205 }
narshu 25:143b19c1fb05 1206
narshu 25:143b19c1fb05 1207
narshu 25:143b19c1fb05 1208 /**
narshu 25:143b19c1fb05 1209 * \fn min(const XprMatrix<E, Rows, Cols>& e)
narshu 25:143b19c1fb05 1210 * \brief Find the minimum of a matrix expression
narshu 25:143b19c1fb05 1211 * \ingroup _unary_function
narshu 25:143b19c1fb05 1212 */
narshu 25:143b19c1fb05 1213 template<class E, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1214 inline
narshu 25:143b19c1fb05 1215 typename E::value_type
narshu 25:143b19c1fb05 1216 min(const XprMatrix<E, Rows, Cols>& e) {
narshu 25:143b19c1fb05 1217 typedef typename E::value_type value_type;
narshu 25:143b19c1fb05 1218
narshu 25:143b19c1fb05 1219 value_type temp(e(0, 0));
narshu 25:143b19c1fb05 1220
narshu 25:143b19c1fb05 1221 for(std::size_t i = 0; i != Rows; ++i)
narshu 25:143b19c1fb05 1222 for(std::size_t j = 0; j != Cols; ++j)
narshu 25:143b19c1fb05 1223 if(e(i, j) < temp)
narshu 25:143b19c1fb05 1224 temp = e(i, j);
narshu 25:143b19c1fb05 1225
narshu 25:143b19c1fb05 1226 return temp;
narshu 25:143b19c1fb05 1227 }
narshu 25:143b19c1fb05 1228
narshu 25:143b19c1fb05 1229
narshu 25:143b19c1fb05 1230 /**
narshu 25:143b19c1fb05 1231 * \fn min(const Matrix<T, Rows, Cols>& m)
narshu 25:143b19c1fb05 1232 * \brief Find the minimum of a matrix
narshu 25:143b19c1fb05 1233 * \ingroup _unary_function
narshu 25:143b19c1fb05 1234 */
narshu 25:143b19c1fb05 1235 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1236 inline
narshu 25:143b19c1fb05 1237 T min(const Matrix<T, Rows, Cols>& m) {
narshu 25:143b19c1fb05 1238 typedef T value_type;
narshu 25:143b19c1fb05 1239 typedef typename Matrix<
narshu 25:143b19c1fb05 1240 T, Rows, Cols
narshu 25:143b19c1fb05 1241 >::const_iterator const_iterator;
narshu 25:143b19c1fb05 1242
narshu 25:143b19c1fb05 1243 const_iterator iter(m.begin());
narshu 25:143b19c1fb05 1244 const_iterator last(m.end());
narshu 25:143b19c1fb05 1245 value_type temp(*iter);
narshu 25:143b19c1fb05 1246
narshu 25:143b19c1fb05 1247 for( ; iter != last; ++iter)
narshu 25:143b19c1fb05 1248 if(*iter < temp)
narshu 25:143b19c1fb05 1249 temp = *iter;
narshu 25:143b19c1fb05 1250
narshu 25:143b19c1fb05 1251 return temp;
narshu 25:143b19c1fb05 1252 }
narshu 25:143b19c1fb05 1253
narshu 25:143b19c1fb05 1254
narshu 25:143b19c1fb05 1255 /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
narshu 25:143b19c1fb05 1256 * other unary functions
narshu 25:143b19c1fb05 1257 *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
narshu 25:143b19c1fb05 1258
narshu 25:143b19c1fb05 1259
narshu 25:143b19c1fb05 1260 /**
narshu 25:143b19c1fb05 1261 * \fn XprMatrix<XprIdentity<typename M::value_type, M::Rows, M::Cols>, M::Rows, M::Cols>identity()
narshu 25:143b19c1fb05 1262 * \brief Fill a matrix to an identity matrix.
narshu 25:143b19c1fb05 1263 * \ingroup _unary_function
narshu 25:143b19c1fb05 1264 *
narshu 25:143b19c1fb05 1265 * \note The matrix doesn't need to be square. Only the elements
narshu 25:143b19c1fb05 1266 * where the current number of rows are equal to columns
narshu 25:143b19c1fb05 1267 * will be set to 1, else to 0.
narshu 25:143b19c1fb05 1268 *
narshu 25:143b19c1fb05 1269 * \par Usage:
narshu 25:143b19c1fb05 1270 * \code
narshu 25:143b19c1fb05 1271 * typedef Matrix<double,3,3> matrix_type;
narshu 25:143b19c1fb05 1272 * ...
narshu 25:143b19c1fb05 1273 * matrix_type E( identity<double, 3, 3>() );
narshu 25:143b19c1fb05 1274 * \endcode
narshu 25:143b19c1fb05 1275 *
narshu 25:143b19c1fb05 1276 * Note, we have to specify the type, number of rows and columns
narshu 25:143b19c1fb05 1277 * since ADL can't work here.
narshu 25:143b19c1fb05 1278 *
narshu 25:143b19c1fb05 1279 *
narshu 25:143b19c1fb05 1280 *
narshu 25:143b19c1fb05 1281 * \since release 1.6.0
narshu 25:143b19c1fb05 1282 */
narshu 25:143b19c1fb05 1283 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1284 inline
narshu 25:143b19c1fb05 1285 XprMatrix<
narshu 25:143b19c1fb05 1286 XprIdentity<T, Rows, Cols>,
narshu 25:143b19c1fb05 1287 Rows, Cols
narshu 25:143b19c1fb05 1288 >
narshu 25:143b19c1fb05 1289 identity() {
narshu 25:143b19c1fb05 1290 typedef XprIdentity<T, Rows, Cols> expr_type;
narshu 25:143b19c1fb05 1291
narshu 25:143b19c1fb05 1292 return XprMatrix<expr_type, Rows, Cols>(expr_type());
narshu 25:143b19c1fb05 1293 }
narshu 25:143b19c1fb05 1294
narshu 25:143b19c1fb05 1295 /**
narshu 25:143b19c1fb05 1296 * \fn XprMatrix<XprIdentity<typename M::value_type, M::Rows, M::Cols>, M::Rows, M::Cols>identity()
narshu 25:143b19c1fb05 1297 * \brief Fill a matrix to an identity matrix (convenience wrapper
narshu 25:143b19c1fb05 1298 * for matrix typedefs).
narshu 25:143b19c1fb05 1299 * \ingroup _unary_function
narshu 25:143b19c1fb05 1300 *
narshu 25:143b19c1fb05 1301 * \note The matrix doesn't need to be square. Only the elements
narshu 25:143b19c1fb05 1302 * where the current number of rows are equal to columns
narshu 25:143b19c1fb05 1303 * will be set to 1, else to 0.
narshu 25:143b19c1fb05 1304 *
narshu 25:143b19c1fb05 1305 * \par Usage:
narshu 25:143b19c1fb05 1306 * \code
narshu 25:143b19c1fb05 1307 * typedef Matrix<double,3,3> matrix_type;
narshu 25:143b19c1fb05 1308 * ...
narshu 25:143b19c1fb05 1309 * matrix_type E( identity<matrix_type>() );
narshu 25:143b19c1fb05 1310 * \endcode
narshu 25:143b19c1fb05 1311 *
narshu 25:143b19c1fb05 1312 * Note, we have to specify the matrix type, since ADL can't work here.
narshu 25:143b19c1fb05 1313 *
narshu 25:143b19c1fb05 1314 * \since release 1.6.0
narshu 25:143b19c1fb05 1315 */
narshu 25:143b19c1fb05 1316 template<class M>
narshu 25:143b19c1fb05 1317 inline
narshu 25:143b19c1fb05 1318 XprMatrix<
narshu 25:143b19c1fb05 1319 XprIdentity<
narshu 25:143b19c1fb05 1320 typename M::value_type,
narshu 25:143b19c1fb05 1321 M::Rows, M::Cols>,
narshu 25:143b19c1fb05 1322 M::Rows, M::Cols
narshu 25:143b19c1fb05 1323 >
narshu 25:143b19c1fb05 1324 identity() {
narshu 25:143b19c1fb05 1325 return identity<typename M::value_type, M::Rows, M::Cols>();
narshu 25:143b19c1fb05 1326 }
narshu 25:143b19c1fb05 1327
narshu 25:143b19c1fb05 1328
narshu 25:143b19c1fb05 1329 /**
narshu 25:143b19c1fb05 1330 * \fn cmatrix_ref(const T* mem)
narshu 25:143b19c1fb05 1331 * \brief Creates an expression wrapper for a C like matrices.
narshu 25:143b19c1fb05 1332 * \ingroup _unary_function
narshu 25:143b19c1fb05 1333 *
narshu 25:143b19c1fb05 1334 * This is like creating a matrix of external data, as described
narshu 25:143b19c1fb05 1335 * at \ref construct. With this function you wrap an expression
narshu 25:143b19c1fb05 1336 * around a C style matrix and you can operate directly with it
narshu 25:143b19c1fb05 1337 * as usual.
narshu 25:143b19c1fb05 1338 *
narshu 25:143b19c1fb05 1339 * \par Example:
narshu 25:143b19c1fb05 1340 * \code
narshu 25:143b19c1fb05 1341 * static float lhs[3][3] = {
narshu 25:143b19c1fb05 1342 * {-1, 0, 1}, { 1, 0, 1}, {-1, 0, -1}
narshu 25:143b19c1fb05 1343 * };
narshu 25:143b19c1fb05 1344 * static float rhs[3][3] = {
narshu 25:143b19c1fb05 1345 * { 0, 1, 1}, { 0, 1, -1}, { 0, -1, 1}
narshu 25:143b19c1fb05 1346 * };
narshu 25:143b19c1fb05 1347 * ...
narshu 25:143b19c1fb05 1348 *
narshu 25:143b19c1fb05 1349 * typedef Matrix<float, 3, 3> matrix_type;
narshu 25:143b19c1fb05 1350 *
narshu 25:143b19c1fb05 1351 * matrix_type M( cmatrix_ref<float, 3, 3>(&lhs[0][0])
narshu 25:143b19c1fb05 1352 * * cmatrix_ref<float, 3, 3>(&rhs[0][0]) );
narshu 25:143b19c1fb05 1353 * \endcode
narshu 25:143b19c1fb05 1354 *
narshu 25:143b19c1fb05 1355 * \since release 1.6.0
narshu 25:143b19c1fb05 1356 */
narshu 25:143b19c1fb05 1357 template<class T, std::size_t Rows, std::size_t Cols>
narshu 25:143b19c1fb05 1358 inline
narshu 25:143b19c1fb05 1359 XprMatrix<
narshu 25:143b19c1fb05 1360 MatrixConstReference<T, Rows, Cols>,
narshu 25:143b19c1fb05 1361 Rows, Cols
narshu 25:143b19c1fb05 1362 >
narshu 25:143b19c1fb05 1363 cmatrix_ref(const T* mem) {
narshu 25:143b19c1fb05 1364 typedef MatrixConstReference<T, Rows, Cols> expr_type;
narshu 25:143b19c1fb05 1365
narshu 25:143b19c1fb05 1366 return XprMatrix<expr_type, Rows, Cols>(expr_type(mem));
narshu 25:143b19c1fb05 1367 }
narshu 25:143b19c1fb05 1368
narshu 25:143b19c1fb05 1369
narshu 25:143b19c1fb05 1370 } // namespace tvmet
narshu 25:143b19c1fb05 1371
narshu 25:143b19c1fb05 1372 #endif // TVMET_MATRIX_FUNCTIONS_H
narshu 25:143b19c1fb05 1373
narshu 25:143b19c1fb05 1374 // Local Variables:
narshu 25:143b19c1fb05 1375 // mode:C++
narshu 25:143b19c1fb05 1376 // tab-width:8
narshu 25:143b19c1fb05 1377 // End: