mirror of
https://gitlab.com/libeigen/eigen.git
synced 2026-04-10 11:34:33 +08:00
3036eeca0a
release of tvmet (inactive for 2 years and developer unreachable) as the basis for eigen2, because it provides seemingly good expression template mechanisms, we want that, and it would take years to reinvent that wheel. We'll see. So this commit imports the last tvmet release.
533 lines
15 KiB
C++
533 lines
15 KiB
C++
/*
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* Tiny Vector Matrix Library
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* Dense Vector Matrix Libary of Tiny size using Expression Templates
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*
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* Copyright (C) 2001 - 2003 Olaf Petzold <opetzold@users.sourceforge.net>
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* lesser General Public License for more details.
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*
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* You should have received a copy of the GNU lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*
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* $Id: MatrixBinaryFunctions.h,v 1.12 2005/04/26 15:05:06 opetzold Exp $
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*/
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#ifndef TVMET_MATRIX_BINARY_FUNCTIONS_H
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#define TVMET_MATRIX_BINARY_FUNCTIONS_H
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namespace tvmet {
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/*********************************************************
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* PART I: DECLARATION
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*********************************************************/
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/*
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* binary_function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
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* binary_function(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols>)
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* binary_function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>)
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*/
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#define TVMET_DECLARE_MACRO(NAME) \
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template<class T1, class T2, std::size_t Rows, std::size_t Cols> \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<T1, T2>, \
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MatrixConstReference<T1, Rows, Cols>, \
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MatrixConstReference<T2, Rows, Cols> \
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>, \
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Rows, Cols \
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> \
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NAME(const Matrix<T1, Rows, Cols>& lhs, \
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const Matrix<T2, Cols, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
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\
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template<class E, class T, std::size_t Rows, std::size_t Cols> \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<typename E::value_type, T>, \
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MatrixConstReference<T, Rows, Cols>, \
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XprMatrix<E, Rows, Cols> \
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>, \
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Rows, Cols \
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> \
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NAME(const XprMatrix<E, Rows, Cols>& lhs, \
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const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
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\
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template<class E, class T, std::size_t Rows, std::size_t Cols> \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<T, typename E::value_type>, \
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MatrixConstReference<T, Rows, Cols>, \
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XprMatrix<E, Rows, Cols> \
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>, \
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Rows, Cols \
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> \
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NAME(const Matrix<T, Rows, Cols>& lhs, \
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const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
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TVMET_DECLARE_MACRO(atan2)
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TVMET_DECLARE_MACRO(drem)
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TVMET_DECLARE_MACRO(fmod)
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TVMET_DECLARE_MACRO(hypot)
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TVMET_DECLARE_MACRO(jn)
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TVMET_DECLARE_MACRO(yn)
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TVMET_DECLARE_MACRO(pow)
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#if defined(TVMET_HAVE_COMPLEX)
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TVMET_DECLARE_MACRO(polar)
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#endif
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#undef TVMET_DECLARE_MACRO
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/*
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* binary_function(Matrix<T, Rows, Cols>, POD)
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*/
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#define TVMET_DECLARE_MACRO(NAME, TP) \
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template<class T, std::size_t Rows, std::size_t Cols> \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<T, TP >, \
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MatrixConstReference<T, Rows, Cols>, \
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XprLiteral< TP > \
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>, \
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Rows, Cols \
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> \
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NAME(const Matrix<T, Rows, Cols>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE;
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TVMET_DECLARE_MACRO(atan2, int)
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TVMET_DECLARE_MACRO(drem, int)
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TVMET_DECLARE_MACRO(fmod, int)
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TVMET_DECLARE_MACRO(hypot, int)
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TVMET_DECLARE_MACRO(jn, int)
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TVMET_DECLARE_MACRO(yn, int)
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TVMET_DECLARE_MACRO(pow, int)
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#if defined(TVMET_HAVE_LONG_LONG)
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TVMET_DECLARE_MACRO(atan2, long long int)
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TVMET_DECLARE_MACRO(drem, long long int)
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TVMET_DECLARE_MACRO(fmod, long long int)
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TVMET_DECLARE_MACRO(hypot, long long int)
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TVMET_DECLARE_MACRO(jn, long long int)
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TVMET_DECLARE_MACRO(yn, long long int)
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TVMET_DECLARE_MACRO(pow, long long int)
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#endif // defined(TVMET_HAVE_LONG_LONG)
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TVMET_DECLARE_MACRO(atan2, float)
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TVMET_DECLARE_MACRO(drem, float)
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TVMET_DECLARE_MACRO(fmod, float)
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TVMET_DECLARE_MACRO(hypot, float)
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TVMET_DECLARE_MACRO(jn, float)
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TVMET_DECLARE_MACRO(yn, float)
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TVMET_DECLARE_MACRO(pow, float)
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TVMET_DECLARE_MACRO(atan2, double)
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TVMET_DECLARE_MACRO(drem, double)
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TVMET_DECLARE_MACRO(fmod, double)
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TVMET_DECLARE_MACRO(hypot, double)
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TVMET_DECLARE_MACRO(jn, double)
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TVMET_DECLARE_MACRO(yn, double)
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TVMET_DECLARE_MACRO(pow, double)
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#if defined(TVMET_HAVE_LONG_DOUBLE)
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TVMET_DECLARE_MACRO(atan2, long double)
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TVMET_DECLARE_MACRO(drem, long double)
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TVMET_DECLARE_MACRO(fmod, long double)
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TVMET_DECLARE_MACRO(hypot, long double)
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TVMET_DECLARE_MACRO(jn, long double)
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TVMET_DECLARE_MACRO(yn, long double)
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TVMET_DECLARE_MACRO(pow, long double)
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#endif // defined(TVMET_HAVE_LONG_DOUBLE)
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#undef TVMET_DECLARE_MACRO
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/*
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* complex math
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*/
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#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1)
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template<class T, std::size_t Rows, std::size_t Cols>
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XprMatrix<
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XprBinOp<
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Fcnl_pow<T, std::complex<T> >,
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MatrixConstReference<T, Rows, Cols>,
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XprLiteral< std::complex<T> >
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>,
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Rows, Cols
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>
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pow(const Matrix<T, Rows, Cols>& lhs,
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const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE;
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template<class T, std::size_t Rows, std::size_t Cols>
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XprMatrix<
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XprBinOp<
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Fcnl_pow< std::complex<T>, std::complex<T> >,
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MatrixConstReference<std::complex<T>, Rows, Cols>,
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XprLiteral< std::complex<T> >
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>,
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Rows, Cols
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>
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pow(const Matrix<std::complex<T>, Rows, Cols>& lhs,
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const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE;
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/**
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* \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const T& rhs)
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* \ingroup _binary_function
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*/
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template<class T, std::size_t Rows, std::size_t Cols>
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XprMatrix<
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XprBinOp<
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Fcnl_pow<std::complex<T>, T>,
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MatrixConstReference<std::complex<T>, Rows, Cols>,
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XprLiteral<T>
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>,
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Rows, Cols
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>
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pow(const Matrix<std::complex<T>, Rows, Cols>& lhs,
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const T& rhs) TVMET_CXX_ALWAYS_INLINE;
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/**
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* \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, int rhs)
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* \ingroup _binary_function
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*/
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template<class T, std::size_t Rows, std::size_t Cols>
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XprMatrix<
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XprBinOp<
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Fcnl_pow<std::complex<T>, int>,
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MatrixConstReference<std::complex<T>, Rows, Cols>,
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XprLiteral<int>
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>,
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Rows, Cols
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>
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pow(const Matrix<std::complex<T>, Rows, Cols>& lhs,
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int rhs) TVMET_CXX_ALWAYS_INLINE;
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template<class T, std::size_t Rows, std::size_t Cols>
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XprMatrix<
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XprBinOp<
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Fcnl_polar<T, T>,
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MatrixConstReference<T, Rows, Cols>,
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XprLiteral<T>
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>,
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Rows, Cols
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>
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polar(const Matrix<T, Rows, Cols>& lhs,
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const T& rhs) TVMET_CXX_ALWAYS_INLINE;
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#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1)
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#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2)
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// to be written (atan2)
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#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2)
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/*********************************************************
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* PART II: IMPLEMENTATION
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*********************************************************/
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/*
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* binary_function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
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* binary_function(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols>)
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* binary_function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>)
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*/
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#define TVMET_IMPLEMENT_MACRO(NAME) \
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template<class T1, class T2, std::size_t Rows, std::size_t Cols> \
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inline \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<T1, T2>, \
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MatrixConstReference<T1, Rows, Cols>, \
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MatrixConstReference<T2, Rows, Cols> \
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>, \
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Rows, Cols \
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> \
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NAME(const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Cols, Cols>& rhs) { \
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typedef XprBinOp < \
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Fcnl_##NAME<T1, T2>, \
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MatrixConstReference<T1, Rows, Cols>, \
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MatrixConstReference<T2, Rows, Cols> \
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> expr_type; \
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return XprMatrix<expr_type, Rows, Cols>( \
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expr_type(lhs.const_ref(), rhs.const_ref())); \
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} \
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\
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template<class E, class T, std::size_t Rows, std::size_t Cols> \
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inline \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<typename E::value_type, T>, \
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MatrixConstReference<T, Rows, Cols>, \
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XprMatrix<E, Rows, Cols> \
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>, \
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Rows, Cols \
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> \
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NAME(const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \
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typedef XprBinOp< \
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Fcnl_##NAME<typename E::value_type, T>, \
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XprMatrix<E, Rows, Cols>, \
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MatrixConstReference<T, Rows, Cols> \
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> expr_type; \
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return XprMatrix<expr_type, Rows, Cols>( \
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expr_type(lhs, rhs.const_ref())); \
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} \
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\
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template<class E, class T, std::size_t Rows, std::size_t Cols> \
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inline \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<T, typename E::value_type>, \
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MatrixConstReference<T, Rows, Cols>, \
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XprMatrix<E, Rows, Cols> \
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>, \
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Rows, Cols \
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> \
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NAME(const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \
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typedef XprBinOp< \
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Fcnl_##NAME<T, typename E::value_type>, \
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MatrixConstReference<T, Rows, Cols>, \
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XprMatrix<E, Rows, Cols> \
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> expr_type; \
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return XprMatrix<expr_type, Rows, Cols>( \
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expr_type(lhs.const_ref(), rhs)); \
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}
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TVMET_IMPLEMENT_MACRO(atan2)
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TVMET_IMPLEMENT_MACRO(drem)
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TVMET_IMPLEMENT_MACRO(fmod)
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TVMET_IMPLEMENT_MACRO(hypot)
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TVMET_IMPLEMENT_MACRO(jn)
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TVMET_IMPLEMENT_MACRO(yn)
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TVMET_IMPLEMENT_MACRO(pow)
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#if defined(TVMET_HAVE_COMPLEX)
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TVMET_IMPLEMENT_MACRO(polar)
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#endif
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#undef TVMET_IMPLEMENT_MACRO
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/*
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* binary_function(Matrix<T, Rows, Cols>, POD)
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*/
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#define TVMET_IMPLEMENT_MACRO(NAME, TP) \
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template<class T, std::size_t Rows, std::size_t Cols> \
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inline \
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XprMatrix< \
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XprBinOp< \
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Fcnl_##NAME<T, TP >, \
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MatrixConstReference<T, Rows, Cols>, \
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XprLiteral< TP > \
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>, \
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Rows, Cols \
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> \
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NAME(const Matrix<T, Rows, Cols>& lhs, TP rhs) { \
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typedef XprBinOp< \
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Fcnl_##NAME<T, TP >, \
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MatrixConstReference<T, Rows, Cols>, \
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XprLiteral< TP > \
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> expr_type; \
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return XprMatrix<expr_type, Rows, Cols>( \
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expr_type(lhs.const_ref(), XprLiteral< TP >(rhs))); \
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}
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TVMET_IMPLEMENT_MACRO(atan2, int)
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TVMET_IMPLEMENT_MACRO(drem, int)
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TVMET_IMPLEMENT_MACRO(fmod, int)
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TVMET_IMPLEMENT_MACRO(hypot, int)
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TVMET_IMPLEMENT_MACRO(jn, int)
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TVMET_IMPLEMENT_MACRO(yn, int)
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TVMET_IMPLEMENT_MACRO(pow, int)
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#if defined(TVMET_HAVE_LONG_LONG)
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TVMET_IMPLEMENT_MACRO(atan2, long long int)
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TVMET_IMPLEMENT_MACRO(drem, long long int)
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TVMET_IMPLEMENT_MACRO(fmod, long long int)
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TVMET_IMPLEMENT_MACRO(hypot, long long int)
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TVMET_IMPLEMENT_MACRO(jn, long long int)
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TVMET_IMPLEMENT_MACRO(yn, long long int)
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TVMET_IMPLEMENT_MACRO(pow, long long int)
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#endif // defined(TVMET_HAVE_LONG_LONG)
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TVMET_IMPLEMENT_MACRO(atan2, float)
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TVMET_IMPLEMENT_MACRO(drem, float)
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TVMET_IMPLEMENT_MACRO(fmod, float)
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TVMET_IMPLEMENT_MACRO(hypot, float)
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TVMET_IMPLEMENT_MACRO(jn, float)
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TVMET_IMPLEMENT_MACRO(yn, float)
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TVMET_IMPLEMENT_MACRO(pow, float)
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TVMET_IMPLEMENT_MACRO(atan2, double)
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TVMET_IMPLEMENT_MACRO(drem, double)
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TVMET_IMPLEMENT_MACRO(fmod, double)
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TVMET_IMPLEMENT_MACRO(hypot, double)
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TVMET_IMPLEMENT_MACRO(jn, double)
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TVMET_IMPLEMENT_MACRO(yn, double)
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TVMET_IMPLEMENT_MACRO(pow, double)
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#if defined(TVMET_HAVE_LONG_DOUBLE)
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TVMET_IMPLEMENT_MACRO(atan2, long double)
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TVMET_IMPLEMENT_MACRO(drem, long double)
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TVMET_IMPLEMENT_MACRO(fmod, long double)
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TVMET_IMPLEMENT_MACRO(hypot, long double)
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TVMET_IMPLEMENT_MACRO(jn, long double)
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TVMET_IMPLEMENT_MACRO(yn, long double)
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TVMET_IMPLEMENT_MACRO(pow, long double)
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#endif // defined(TVMET_HAVE_LONG_DOUBLE)
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#undef TVMET_IMPLEMENT_MACRO
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/*
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* complex math
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*/
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#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1)
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/**
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* \fn pow(const Matrix<T, Rows, Cols>& lhs, const std::complex<T>& rhs)
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* \ingroup _binary_function
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*/
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template<class T, std::size_t Rows, std::size_t Cols>
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inline
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XprMatrix<
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XprBinOp<
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Fcnl_pow<T, std::complex<T> >,
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MatrixConstReference<T, Rows, Cols>,
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XprLiteral< std::complex<T> >
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>,
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Rows, Cols
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>
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pow(const Matrix<T, Rows, Cols>& lhs, const std::complex<T>& rhs) {
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typedef XprBinOp<
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Fcnl_pow<T, std::complex<T> >,
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MatrixConstReference<T, Rows, Cols>,
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XprLiteral< std::complex<T> >
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> expr_type;
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return XprMatrix<expr_type, Rows, Cols>(
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expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs)));
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}
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/**
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* \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const std::complex<T>& rhs)
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* \ingroup _binary_function
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*/
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template<class T, std::size_t Rows, std::size_t Cols>
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inline
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XprMatrix<
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XprBinOp<
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Fcnl_pow< std::complex<T>, std::complex<T> >,
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MatrixConstReference<std::complex<T>, Rows, Cols>,
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XprLiteral< std::complex<T> >
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>,
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Rows, Cols
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>
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pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const std::complex<T>& rhs) {
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typedef XprBinOp<
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Fcnl_pow< std::complex<T>, std::complex<T> >,
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MatrixConstReference<std::complex<T>, Rows, Cols>,
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XprLiteral< std::complex<T> >
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> expr_type;
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return XprMatrix<expr_type, Rows, Cols>(
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expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs)));
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}
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|
/**
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|
* \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const T& rhs)
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* \ingroup _binary_function
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|
*/
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|
template<class T, std::size_t Rows, std::size_t Cols>
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|
inline
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|
XprMatrix<
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|
XprBinOp<
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|
Fcnl_pow<std::complex<T>, T>,
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|
MatrixConstReference<std::complex<T>, Rows, Cols>,
|
|
XprLiteral<T>
|
|
>,
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|
Rows, Cols
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|
>
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|
pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const T& rhs) {
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|
typedef XprBinOp<
|
|
Fcnl_pow<std::complex<T>, T>,
|
|
MatrixConstReference<std::complex<T>, Rows, Cols>,
|
|
XprLiteral<T>
|
|
> expr_type;
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|
return XprMatrix<expr_type, Rows, Cols>(
|
|
expr_type(lhs.const_ref(), XprLiteral<T>(rhs)));
|
|
}
|
|
|
|
|
|
/**
|
|
* \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, int rhs)
|
|
* \ingroup _binary_function
|
|
*/
|
|
template<class T, std::size_t Rows, std::size_t Cols>
|
|
inline
|
|
XprMatrix<
|
|
XprBinOp<
|
|
Fcnl_pow<std::complex<T>, int>,
|
|
MatrixConstReference<std::complex<T>, Rows, Cols>,
|
|
XprLiteral<int>
|
|
>,
|
|
Rows, Cols
|
|
>
|
|
pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, int rhs) {
|
|
typedef XprBinOp<
|
|
Fcnl_pow<std::complex<T>, int>,
|
|
MatrixConstReference<std::complex<T>, Rows, Cols>,
|
|
XprLiteral<int>
|
|
> expr_type;
|
|
return XprMatrix<expr_type, Rows, Cols>(
|
|
expr_type(lhs.const_ref(), XprLiteral<int>(rhs)));
|
|
}
|
|
|
|
|
|
/**
|
|
* \fn polar(const Matrix<T, Rows, Cols>& lhs, const T& rhs)
|
|
* \ingroup _binary_function
|
|
*/
|
|
template<class T, std::size_t Rows, std::size_t Cols>
|
|
inline
|
|
XprMatrix<
|
|
XprBinOp<
|
|
Fcnl_polar<T, T>,
|
|
MatrixConstReference<T, Rows, Cols>,
|
|
XprLiteral<T>
|
|
>,
|
|
Rows, Cols
|
|
>
|
|
polar(const Matrix<T, Rows, Cols>& lhs, const T& rhs) {
|
|
typedef XprBinOp<
|
|
Fcnl_polar<T, T>,
|
|
MatrixConstReference<T, Rows, Cols>,
|
|
XprLiteral<T>
|
|
> expr_type;
|
|
return XprMatrix<expr_type, Rows, Cols>(
|
|
expr_type(lhs.const_ref(), XprLiteral<T>(rhs)));
|
|
}
|
|
|
|
#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1)
|
|
|
|
#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2)
|
|
// to be written (atan2)
|
|
#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2)
|
|
|
|
|
|
} // namespace tvmet
|
|
|
|
#endif // TVMET_MATRIX_BINARY_FUNCTIONS_H
|
|
|
|
// Local Variables:
|
|
// mode:C++
|
|
// End:
|