Colour sensors calibrated

Dependencies:   mbed-rtos mbed Servo QEI

Fork of ICRSEurobot13 by Thomas Branch

Revision:
15:9c5aaeda36dc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/tvmet/VectorOperators.h	Sat Apr 06 20:57:54 2013 +0000
@@ -0,0 +1,1055 @@
+/*
+ * Tiny Vector Matrix Library
+ * Dense Vector Matrix Libary of Tiny size using Expression Templates
+ *
+ * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net>
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+ * lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU lesser General Public
+ * License along with this library; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+ *
+ * $Id: VectorOperators.h,v 1.18 2007-06-23 15:58:58 opetzold Exp $
+ */
+
+#ifndef TVMET_VECTOR_OPERATORS_H
+#define TVMET_VECTOR_OPERATORS_H
+
+namespace tvmet {
+
+
+/*********************************************************
+ * PART I: DECLARATION
+ *********************************************************/
+
+
+template<class T, std::size_t Sz>
+inline
+std::ostream& operator<<(std::ostream& os,
+             const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * Member operators (arithmetic and bit ops)
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * update_operator(Vector<T1, Sz>,  Vector<T2, Sz>)
+ * update_operator(Vector<T1, Sz>,  XprVector<E, Sz>)
+ * Note: per se element wise
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP)                    \
+template<class T1, class T2, std::size_t Sz>                \
+Vector<T1, Sz>&                                \
+operator OP (Vector<T1, Sz>& lhs,                    \
+         const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;    \
+                                    \
+template<class T, class E, std::size_t Sz>                \
+Vector<T, Sz>&                                \
+operator OP (Vector<T, Sz>& lhs,                    \
+         const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+TVMET_DECLARE_MACRO(add_eq, +=)        // per se element wise
+TVMET_DECLARE_MACRO(sub_eq, -=)        // per se element wise
+TVMET_DECLARE_MACRO(mul_eq, *=)        // per se element wise
+namespace element_wise {
+  TVMET_DECLARE_MACRO(div_eq, /=)        // not defined for vectors
+}
+
+// integer operators only, e.g used on double you wil get an error
+namespace element_wise {
+  TVMET_DECLARE_MACRO(mod_eq, %=)
+  TVMET_DECLARE_MACRO(xor_eq, ^=)
+  TVMET_DECLARE_MACRO(and_eq, &=)
+  TVMET_DECLARE_MACRO(or_eq, |=)
+  TVMET_DECLARE_MACRO(shl_eq, <<=)
+  TVMET_DECLARE_MACRO(shr_eq, >>=)
+}
+
+#undef TVMET_DECLARE_MACRO
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * Vector arithmetic operators implemented by functions
+ * add, sub, mul and div
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * operator(Vector<T1, Sz>, Vector<T2, Sz>)
+ * operator(Vector<T1, Sz>, XprVector<E, Sz>)
+ * operator(XprVector<E, Sz>, Vector<T1, Sz>)
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP)                    \
+template<class T1, class T2, std::size_t Sz>                \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T1, T2>,                        \
+    VectorConstReference<T1, Sz>,                    \
+    VectorConstReference<T2, Sz>                    \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T1, Sz>& lhs,                 \
+         const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;    \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<typename E::value_type, T>,                \
+    XprVector<E, Sz>,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const XprVector<E, Sz>& lhs,                \
+         const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;        \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T, typename E::value_type>,                \
+    VectorConstReference<T, Sz>,                    \
+    XprVector<E, Sz>                            \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& lhs,                     \
+         const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+TVMET_DECLARE_MACRO(add, +)        // per se element wise
+TVMET_DECLARE_MACRO(sub, -)        // per se element wise
+TVMET_DECLARE_MACRO(mul, *)        // per se element wise
+namespace element_wise {
+  TVMET_DECLARE_MACRO(div, /)        // not defined for vectors
+}
+
+#undef TVMET_DECLARE_MACRO
+
+
+/*
+ * operator(Vector<T, Sz>, POD)
+ * operator(POD, Vector<T, Sz>)
+ * Note: operations +,-,*,/ are per se element wise
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP, POD)            \
+template<class T, std::size_t Sz>                \
+XprVector<                            \
+  XprBinOp<                            \
+    Fcnl_##NAME< T, POD >,                    \
+    VectorConstReference<T, Sz>,                \
+    XprLiteral< POD >                        \
+  >,                                \
+  Sz                                \
+>                                \
+operator OP (const Vector<T, Sz>& lhs,                 \
+         POD rhs) TVMET_CXX_ALWAYS_INLINE;            \
+                                \
+template<class T, std::size_t Sz>                \
+XprVector<                            \
+  XprBinOp<                            \
+    Fcnl_##NAME< POD, T>,                    \
+    XprLiteral< POD >,                        \
+    VectorConstReference<T, Sz>                    \
+  >,                                \
+  Sz                                \
+>                                \
+operator OP (POD lhs,                         \
+         const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+TVMET_DECLARE_MACRO(add, +, int)
+TVMET_DECLARE_MACRO(sub, -, int)
+TVMET_DECLARE_MACRO(mul, *, int)
+TVMET_DECLARE_MACRO(div, /, int)
+
+#if defined(TVMET_HAVE_LONG_LONG)
+TVMET_DECLARE_MACRO(add, +, long long int)
+TVMET_DECLARE_MACRO(sub, -, long long int)
+TVMET_DECLARE_MACRO(mul, *, long long int)
+TVMET_DECLARE_MACRO(div, /, long long int)
+#endif
+
+TVMET_DECLARE_MACRO(add, +, float)
+TVMET_DECLARE_MACRO(sub, -, float)
+TVMET_DECLARE_MACRO(mul, *, float)
+TVMET_DECLARE_MACRO(div, /, float)
+
+TVMET_DECLARE_MACRO(add, +, double)
+TVMET_DECLARE_MACRO(sub, -, double)
+TVMET_DECLARE_MACRO(mul, *, double)
+TVMET_DECLARE_MACRO(div, /, double)
+
+#if defined(TVMET_HAVE_LONG_DOUBLE)
+TVMET_DECLARE_MACRO(add, +, long double)
+TVMET_DECLARE_MACRO(sub, -, long double)
+TVMET_DECLARE_MACRO(mul, *, long double)
+TVMET_DECLARE_MACRO(div, /, long double)
+#endif
+
+#undef TVMET_DECLARE_MACRO
+
+
+#if defined(TVMET_HAVE_COMPLEX)
+/*
+ * operator(Vector<std::complex<T>, Sz>, std::complex<T>)
+ * operator(std::complex<T>, Vector<std::complex<T>, Sz>)
+ * Note: operations +,-,*,/ are per se element wise
+ * \todo type promotion
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP)                        \
+template<class T, std::size_t Sz>                        \
+XprVector<                                    \
+  XprBinOp<                                    \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                \
+    VectorConstReference< std::complex<T>, Sz>,                    \
+    XprLiteral< std::complex<T> >                        \
+  >,                                        \
+  Sz                                        \
+>                                        \
+operator OP (const Vector<std::complex<T>, Sz>& lhs,                 \
+         const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE;        \
+                                        \
+template<class T, std::size_t Sz>                        \
+XprVector<                                    \
+  XprBinOp<                                    \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                \
+    XprLiteral< std::complex<T> >,                        \
+    VectorConstReference< std::complex<T>, Sz>                    \
+  >,                                        \
+  Sz                                        \
+>                                        \
+operator OP (const std::complex<T>& lhs,                     \
+         const Vector< std::complex<T>, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+TVMET_DECLARE_MACRO(add, +)        // per se element wise
+TVMET_DECLARE_MACRO(sub, -)        // per se element wise
+TVMET_DECLARE_MACRO(mul, *)        // per se element wise
+TVMET_DECLARE_MACRO(div, /)        // per se element wise
+#undef TVMET_DECLARE_MACRO
+
+#endif // defined(TVMET_HAVE_COMPLEX)
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * Vector integer and compare operators
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * operator(Vector<T1, Sz>, Vector<T2, Sz>)
+ * operator(XprVector<E, Sz>, Vector<T, Sz>)
+ * operator(Vector<T, Sz>, XprVector<E, Sz>)
+ * Note: operations are per se element wise
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP)                    \
+template<class T1, class T2, std::size_t Sz>                \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T1, T2>,                        \
+    VectorConstReference<T1, Sz>,                    \
+    VectorConstReference<T2, Sz>                    \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T1, Sz>& lhs,                 \
+         const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;    \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<typename E::value_type, T>,                \
+    XprVector<E, Sz>,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const XprVector<E, Sz>& lhs,                 \
+         const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;        \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T, typename E::value_type>,                \
+    VectorConstReference<T, Sz>,                    \
+    XprVector<E, Sz>                            \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& lhs,                     \
+         const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+// integer operators only, e.g used on double you wil get an error
+namespace element_wise {
+  TVMET_DECLARE_MACRO(mod, %)
+  TVMET_DECLARE_MACRO(bitxor, ^)
+  TVMET_DECLARE_MACRO(bitand, &)
+  TVMET_DECLARE_MACRO(bitor, |)
+  TVMET_DECLARE_MACRO(shl, <<)
+  TVMET_DECLARE_MACRO(shr, >>)
+}
+
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >)
+TVMET_DECLARE_MACRO(less, <)
+TVMET_DECLARE_MACRO(greater_eq, >=)
+TVMET_DECLARE_MACRO(less_eq, <=)
+TVMET_DECLARE_MACRO(eq, ==)
+TVMET_DECLARE_MACRO(not_eq, !=)
+TVMET_DECLARE_MACRO(and, &&)
+TVMET_DECLARE_MACRO(or, ||)
+
+#undef TVMET_DECLARE_MACRO
+
+
+
+#if defined(TVMET_HAVE_COMPLEX)
+/*
+ * operator(Vector<std::complex<T>, Sz>, std::complex<T>)
+ * operator(std::complex<T>, Vector<std::complex<T>, Sz>)
+ * Note: - per se element wise
+ *       - bit ops on complex<int> doesn't make sense, stay away
+ * \todo type promotion
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP)                        \
+template<class T, std::size_t Sz>                        \
+XprVector<                                    \
+  XprBinOp<                                    \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                \
+    VectorConstReference< std::complex<T>, Sz>,                    \
+    XprLiteral< std::complex<T> >                        \
+  >,                                        \
+  Sz                                        \
+>                                        \
+operator OP (const Vector<std::complex<T>, Sz>& lhs,                 \
+         const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE;        \
+                                        \
+template<class T, std::size_t Sz>                        \
+XprVector<                                    \
+  XprBinOp<                                    \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                \
+    XprLiteral< std::complex<T> >,                        \
+    VectorConstReference< std::complex<T>, Sz>                    \
+  >,                                        \
+  Sz                                        \
+>                                        \
+operator OP (const std::complex<T>& lhs,                     \
+         const Vector< std::complex<T>, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >)
+TVMET_DECLARE_MACRO(less, <)
+TVMET_DECLARE_MACRO(greater_eq, >=)
+TVMET_DECLARE_MACRO(less_eq, <=)
+TVMET_DECLARE_MACRO(eq, ==)
+TVMET_DECLARE_MACRO(not_eq, !=)
+TVMET_DECLARE_MACRO(and, &&)
+TVMET_DECLARE_MACRO(or, ||)
+
+#undef TVMET_DECLARE_MACRO
+
+#endif // defined(TVMET_HAVE_COMPLEX)
+
+
+/*
+ * operator(Vector<T, Sz>, POD)
+ * operator(POD, Vector<T, Sz>)
+ * Note: operations are per se element_wise
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP, TP)                \
+template<class T, std::size_t Sz>                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME< T, TP >,                        \
+    VectorConstReference<T, Sz>,                    \
+    XprLiteral< TP >                            \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE;    \
+                                    \
+template<class T, std::size_t Sz>                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME< TP, T>,                        \
+    XprLiteral< TP >,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (TP lhs, const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+// integer operators only, e.g used on double you wil get an error
+namespace element_wise {
+  TVMET_DECLARE_MACRO(mod, %, int)
+  TVMET_DECLARE_MACRO(bitxor, ^, int)
+  TVMET_DECLARE_MACRO(bitand, &, int)
+  TVMET_DECLARE_MACRO(bitor, |, int)
+  TVMET_DECLARE_MACRO(shl, <<, int)
+  TVMET_DECLARE_MACRO(shr, >>, int)
+}
+
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >, int)
+TVMET_DECLARE_MACRO(less, <, int)
+TVMET_DECLARE_MACRO(greater_eq, >=, int)
+TVMET_DECLARE_MACRO(less_eq, <=, int)
+TVMET_DECLARE_MACRO(eq, ==, int)
+TVMET_DECLARE_MACRO(not_eq, !=, int)
+TVMET_DECLARE_MACRO(and, &&, int)
+TVMET_DECLARE_MACRO(or, ||, int)
+
+#if defined(TVMET_HAVE_LONG_LONG)
+// integer operators only
+namespace element_wise {
+  TVMET_DECLARE_MACRO(mod, %, long long int)
+  TVMET_DECLARE_MACRO(bitxor, ^, long long int)
+  TVMET_DECLARE_MACRO(bitand, &, long long int)
+  TVMET_DECLARE_MACRO(bitor, |, long long int)
+  TVMET_DECLARE_MACRO(shl, <<, long long int)
+  TVMET_DECLARE_MACRO(shr, >>, long long int)
+}
+
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >, long long int)
+TVMET_DECLARE_MACRO(less, <, long long int)
+TVMET_DECLARE_MACRO(greater_eq, >=, long long int)
+TVMET_DECLARE_MACRO(less_eq, <=, long long int)
+TVMET_DECLARE_MACRO(eq, ==, long long int)
+TVMET_DECLARE_MACRO(not_eq, !=, long long int)
+TVMET_DECLARE_MACRO(and, &&, long long int)
+TVMET_DECLARE_MACRO(or, ||, long long int)
+#endif // defined(TVMET_HAVE_LONG_LONG)
+
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >, float)
+TVMET_DECLARE_MACRO(less, <, float)
+TVMET_DECLARE_MACRO(greater_eq, >=, float)
+TVMET_DECLARE_MACRO(less_eq, <=, float)
+TVMET_DECLARE_MACRO(eq, ==, float)
+TVMET_DECLARE_MACRO(not_eq, !=, float)
+TVMET_DECLARE_MACRO(and, &&, float)
+TVMET_DECLARE_MACRO(or, ||, float)
+
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >, double)
+TVMET_DECLARE_MACRO(less, <, double)
+TVMET_DECLARE_MACRO(greater_eq, >=, double)
+TVMET_DECLARE_MACRO(less_eq, <=, double)
+TVMET_DECLARE_MACRO(eq, ==, double)
+TVMET_DECLARE_MACRO(not_eq, !=, double)
+TVMET_DECLARE_MACRO(and, &&, double)
+TVMET_DECLARE_MACRO(or, ||, double)
+
+#if defined(TVMET_HAVE_LONG_DOUBLE)
+// necessary operators for eval functions
+TVMET_DECLARE_MACRO(greater, >, long double)
+TVMET_DECLARE_MACRO(less, <, long double)
+TVMET_DECLARE_MACRO(greater_eq, >=, long double)
+TVMET_DECLARE_MACRO(less_eq, <=, long double)
+TVMET_DECLARE_MACRO(eq, ==, long double)
+TVMET_DECLARE_MACRO(not_eq, !=, long double)
+TVMET_DECLARE_MACRO(and, &&, long double)
+TVMET_DECLARE_MACRO(or, ||, long double)
+#endif // defined(TVMET_HAVE_LONG_DOUBLE)
+
+#undef TVMET_DECLARE_MACRO
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * global unary operators
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * unary_operator(Vector<T, Sz>)
+ * Note: per se element wise
+ */
+#define TVMET_DECLARE_MACRO(NAME, OP)                \
+template <class T, std::size_t Sz>                \
+XprVector<                            \
+  XprUnOp<                            \
+    Fcnl_##NAME<T>,                        \
+    VectorConstReference<T, Sz>                    \
+  >,                                \
+  Sz                                \
+>                                \
+operator OP (const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;
+
+TVMET_DECLARE_MACRO(not, !)
+TVMET_DECLARE_MACRO(compl, ~)
+TVMET_DECLARE_MACRO(neg, -)
+#undef TVMET_DECLARE_MACRO
+
+
+/*********************************************************
+ * PART II: IMPLEMENTATION
+ *********************************************************/
+
+
+/**
+ * \fn operator<<(std::ostream& os, const Vector<T, Sz>& rhs)
+ * \brief Overload operator for i/o
+ * \ingroup _binary_operator
+ */
+template<class T, std::size_t Sz>
+inline
+std::ostream& operator<<(std::ostream& os, const Vector<T, Sz>& rhs) {
+  return rhs.print_on(os);
+}
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * Member operators (arithmetic and bit ops)
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * update_operator(Vector<T1, Sz>,  Vector<T2, Sz>)
+ * update_operator(Vector<T1, Sz>,  XprVector<E, Sz>)
+ * Note: per se element wise
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP)                \
+template<class T1, class T2, std::size_t Sz>            \
+inline Vector<T1, Sz>&                        \
+operator OP (Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) {    \
+  return lhs.M_##NAME(rhs);                    \
+}                                \
+                                \
+template<class T, class E, std::size_t Sz>            \
+inline Vector<T, Sz>&                        \
+operator OP (Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) {    \
+  return lhs.M_##NAME(rhs);                    \
+}
+
+TVMET_IMPLEMENT_MACRO(add_eq, +=)        // per se element wise
+TVMET_IMPLEMENT_MACRO(sub_eq, -=)        // per se element wise
+TVMET_IMPLEMENT_MACRO(mul_eq, *=)        // per se element wise
+namespace element_wise {
+  TVMET_IMPLEMENT_MACRO(div_eq, /=)        // not defined for vectors
+}
+
+// integer operators only, e.g used on double you wil get an error
+namespace element_wise {
+  TVMET_IMPLEMENT_MACRO(mod_eq, %=)
+  TVMET_IMPLEMENT_MACRO(xor_eq, ^=)
+  TVMET_IMPLEMENT_MACRO(and_eq, &=)
+  TVMET_IMPLEMENT_MACRO(or_eq, |=)
+  TVMET_IMPLEMENT_MACRO(shl_eq, <<=)
+  TVMET_IMPLEMENT_MACRO(shr_eq, >>=)
+}
+
+#undef TVMET_IMPLEMENT_MACRO
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * Vector arithmetic operators implemented by functions
+ * add, sub, mul and div
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * operator(Vector<T1, Sz>, Vector<T2, Sz>)
+ * operator(Vector<T1, Sz>, XprVector<E, Sz>)
+ * operator(XprVector<E, Sz>, Vector<T1, Sz>)
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP)                    \
+template<class T1, class T2, std::size_t Sz>                \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T1, T2>,                        \
+    VectorConstReference<T1, Sz>,                    \
+    VectorConstReference<T2, Sz>                    \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) {    \
+  return NAME (lhs, rhs);                        \
+}                                    \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<typename E::value_type, T>,                \
+    XprVector<E, Sz>,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) {    \
+  return NAME (lhs, rhs);                        \
+}                                    \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T, typename E::value_type>,                \
+    VectorConstReference<T, Sz>,                    \
+    XprVector<E, Sz>                            \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) {    \
+  return NAME (lhs, rhs);                        \
+}
+
+TVMET_IMPLEMENT_MACRO(add, +)        // per se element wise
+TVMET_IMPLEMENT_MACRO(sub, -)        // per se element wise
+TVMET_IMPLEMENT_MACRO(mul, *)        // per se element wise
+namespace element_wise {
+  TVMET_IMPLEMENT_MACRO(div, /)        // not defined for vectors
+}
+
+#undef TVMET_IMPLEMENT_MACRO
+
+
+/*
+ * operator(Vector<T, Sz>, POD)
+ * operator(POD, Vector<T, Sz>)
+ * Note: operations +,-,*,/ are per se element wise
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP, POD)        \
+template<class T, std::size_t Sz>            \
+inline                            \
+XprVector<                        \
+  XprBinOp<                        \
+    Fcnl_##NAME< T, POD >,                \
+    VectorConstReference<T, Sz>,            \
+    XprLiteral< POD >                    \
+  >,                            \
+  Sz                            \
+>                            \
+operator OP (const Vector<T, Sz>& lhs, POD rhs) {    \
+  return NAME (lhs, rhs);                \
+}                            \
+                            \
+template<class T, std::size_t Sz>            \
+inline                            \
+XprVector<                        \
+  XprBinOp<                        \
+    Fcnl_##NAME< POD, T>,                \
+    XprLiteral< POD >,                    \
+    VectorConstReference<T, Sz>                \
+  >,                            \
+  Sz                            \
+>                            \
+operator OP (POD lhs, const Vector<T, Sz>& rhs) {    \
+  return NAME (lhs, rhs);                \
+}
+
+TVMET_IMPLEMENT_MACRO(add, +, int)
+TVMET_IMPLEMENT_MACRO(sub, -, int)
+TVMET_IMPLEMENT_MACRO(mul, *, int)
+TVMET_IMPLEMENT_MACRO(div, /, int)
+
+#if defined(TVMET_HAVE_LONG_LONG)
+TVMET_IMPLEMENT_MACRO(add, +, long long int)
+TVMET_IMPLEMENT_MACRO(sub, -, long long int)
+TVMET_IMPLEMENT_MACRO(mul, *, long long int)
+TVMET_IMPLEMENT_MACRO(div, /, long long int)
+#endif
+
+TVMET_IMPLEMENT_MACRO(add, +, float)
+TVMET_IMPLEMENT_MACRO(sub, -, float)
+TVMET_IMPLEMENT_MACRO(mul, *, float)
+TVMET_IMPLEMENT_MACRO(div, /, float)
+
+TVMET_IMPLEMENT_MACRO(add, +, double)
+TVMET_IMPLEMENT_MACRO(sub, -, double)
+TVMET_IMPLEMENT_MACRO(mul, *, double)
+TVMET_IMPLEMENT_MACRO(div, /, double)
+
+#if defined(TVMET_HAVE_LONG_DOUBLE)
+TVMET_IMPLEMENT_MACRO(add, +, long double)
+TVMET_IMPLEMENT_MACRO(sub, -, long double)
+TVMET_IMPLEMENT_MACRO(mul, *, long double)
+TVMET_IMPLEMENT_MACRO(div, /, long double)
+#endif
+
+#undef TVMET_IMPLEMENT_MACRO
+
+
+#if defined(TVMET_HAVE_COMPLEX)
+/*
+ * operator(Vector<std::complex<T>, Sz>, std::complex<T>)
+ * operator(std::complex<T>, Vector<std::complex<T>, Sz>)
+ * Note: operations +,-,*,/ are per se element wise
+ * \todo type promotion
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP)            \
+template<class T, std::size_t Sz>            \
+inline                            \
+XprVector<                        \
+  XprBinOp<                        \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,    \
+    VectorConstReference< std::complex<T>, Sz>,        \
+    XprLiteral< std::complex<T> >            \
+  >,                            \
+  Sz                            \
+>                            \
+operator OP (const Vector<std::complex<T>, Sz>& lhs,     \
+         const std::complex<T>& rhs) {        \
+  return NAME (lhs, rhs);                \
+}                            \
+                            \
+template<class T, std::size_t Sz>            \
+inline                            \
+XprVector<                        \
+  XprBinOp<                        \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,    \
+    XprLiteral< std::complex<T> >,            \
+    VectorConstReference< std::complex<T>, Sz>        \
+  >,                            \
+  Sz                            \
+>                            \
+operator OP (const std::complex<T>& lhs,         \
+         const Vector< std::complex<T>, Sz>& rhs) {    \
+  return NAME (lhs, rhs);                \
+}
+
+TVMET_IMPLEMENT_MACRO(add, +)        // per se element wise
+TVMET_IMPLEMENT_MACRO(sub, -)        // per se element wise
+TVMET_IMPLEMENT_MACRO(mul, *)        // per se element wise
+TVMET_IMPLEMENT_MACRO(div, /)        // per se element wise
+
+#undef TVMET_IMPLEMENT_MACRO
+
+#endif // defined(TVMET_HAVE_COMPLEX)
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * Vector integer and compare operators
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * operator(Vector<T1, Sz>, Vector<T2, Sz>)
+ * operator(XprVector<E, Sz>, Vector<T, Sz>)
+ * operator(Vector<T, Sz>, XprVector<E, Sz>)
+ * Note: operations are per se element wise
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP)                    \
+template<class T1, class T2, std::size_t Sz>                \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T1, T2>,                        \
+    VectorConstReference<T1, Sz>,                    \
+    VectorConstReference<T2, Sz>                    \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) {    \
+  typedef XprBinOp <                            \
+    Fcnl_##NAME<T1, T2>,                        \
+    VectorConstReference<T1, Sz>,                    \
+    VectorConstReference<T2, Sz>                    \
+  >                            expr_type;    \
+  return XprVector<expr_type, Sz>(                    \
+    expr_type(lhs.const_ref(), rhs.const_ref()));            \
+}                                    \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<typename E::value_type, T>,                \
+    XprVector<E, Sz>,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) {    \
+  typedef XprBinOp<                            \
+    Fcnl_##NAME<typename E::value_type, T>,                \
+    XprVector<E, Sz>,                            \
+    VectorConstReference<T, Sz>                        \
+  >                              expr_type;    \
+  return XprVector<expr_type, Sz>(                    \
+    expr_type(lhs, rhs.const_ref()));                    \
+}                                    \
+                                    \
+template<class E, class T, std::size_t Sz>                \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME<T, typename E::value_type>,                \
+    VectorConstReference<T, Sz>,                    \
+    XprVector<E, Sz>                            \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) {    \
+  typedef XprBinOp<                            \
+    Fcnl_##NAME<T, typename E::value_type>,                \
+    VectorConstReference<T, Sz>,                    \
+    XprVector<E, Sz>                            \
+  >                              expr_type;    \
+  return XprVector<expr_type, Sz>(                    \
+    expr_type(lhs.const_ref(), rhs));                    \
+}
+
+// integer operators only, e.g used on double you wil get an error
+namespace element_wise {
+  TVMET_IMPLEMENT_MACRO(mod, %)
+  TVMET_IMPLEMENT_MACRO(bitxor, ^)
+  TVMET_IMPLEMENT_MACRO(bitand, &)
+  TVMET_IMPLEMENT_MACRO(bitor, |)
+  TVMET_IMPLEMENT_MACRO(shl, <<)
+  TVMET_IMPLEMENT_MACRO(shr, >>)
+}
+
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >)
+TVMET_IMPLEMENT_MACRO(less, <)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=)
+TVMET_IMPLEMENT_MACRO(less_eq, <=)
+TVMET_IMPLEMENT_MACRO(eq, ==)
+TVMET_IMPLEMENT_MACRO(not_eq, !=)
+TVMET_IMPLEMENT_MACRO(and, &&)
+TVMET_IMPLEMENT_MACRO(or, ||)
+
+#undef TVMET_IMPLEMENT_MACRO
+
+
+#if defined(TVMET_HAVE_COMPLEX)
+/*
+ * operator(Vector<std::complex<T>, Sz>, std::complex<T>)
+ * operator(std::complex<T>, Vector<std::complex<T>, Sz>)
+ * Note: - per se element wise
+ *       - bit ops on complex<int> doesn't make sense, stay away
+ * \todo type promotion
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP)                            \
+template<class T, std::size_t Sz>                            \
+inline                                            \
+XprVector<                                        \
+  XprBinOp<                                        \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                    \
+    VectorConstReference< std::complex<T>, Sz>,                        \
+    XprLiteral< std::complex<T> >                            \
+  >,                                            \
+  Sz                                            \
+>                                            \
+operator OP (const Vector<std::complex<T>, Sz>& lhs, const std::complex<T>& rhs) {    \
+  typedef XprBinOp<                                    \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                    \
+    VectorConstReference< std::complex<T>, Sz>,                        \
+    XprLiteral< std::complex<T> >                            \
+  >                            expr_type;            \
+  return XprVector<expr_type, Sz>(                            \
+    expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs)));            \
+}                                            \
+                                            \
+template<class T, std::size_t Sz>                            \
+inline                                            \
+XprVector<                                        \
+  XprBinOp<                                        \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                    \
+    XprLiteral< std::complex<T> >,                            \
+    VectorConstReference< std::complex<T>, Sz>                        \
+  >,                                            \
+  Sz                                            \
+>                                            \
+operator OP (const std::complex<T>& lhs, const Vector< std::complex<T>, Sz>& rhs) {    \
+  typedef XprBinOp<                                    \
+    Fcnl_##NAME< std::complex<T>, std::complex<T> >,                    \
+    XprLiteral< std::complex<T> >,                            \
+    VectorConstReference< std::complex<T>, Sz>                        \
+  >                            expr_type;            \
+  return XprVector<expr_type, Sz>(                            \
+    expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref()));            \
+}
+
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >)
+TVMET_IMPLEMENT_MACRO(less, <)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=)
+TVMET_IMPLEMENT_MACRO(less_eq, <=)
+TVMET_IMPLEMENT_MACRO(eq, ==)
+TVMET_IMPLEMENT_MACRO(not_eq, !=)
+TVMET_IMPLEMENT_MACRO(and, &&)
+TVMET_IMPLEMENT_MACRO(or, ||)
+
+#undef TVMET_IMPLEMENT_MACRO
+
+#endif // defined(TVMET_HAVE_COMPLEX)
+
+
+/*
+ * operator(Vector<T, Sz>, POD)
+ * operator(POD, Vector<T, Sz>)
+ * Note: operations are per se element_wise
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP, TP)                \
+template<class T, std::size_t Sz>                    \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME< T, TP >,                        \
+    VectorConstReference<T, Sz>,                    \
+    XprLiteral< TP >                            \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& lhs, TP rhs) {            \
+  typedef XprBinOp<                            \
+    Fcnl_##NAME<T, TP >,                        \
+    VectorConstReference<T, Sz>,                    \
+    XprLiteral< TP >                            \
+  >                            expr_type;    \
+  return XprVector<expr_type, Sz>(                    \
+    expr_type(lhs.const_ref(), XprLiteral< TP >(rhs)));            \
+}                                    \
+                                    \
+template<class T, std::size_t Sz>                    \
+inline                                    \
+XprVector<                                \
+  XprBinOp<                                \
+    Fcnl_##NAME< TP, T>,                        \
+    XprLiteral< TP >,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (TP lhs, const Vector<T, Sz>& rhs) {            \
+  typedef XprBinOp<                            \
+    Fcnl_##NAME< TP, T>,                        \
+    XprLiteral< TP >,                            \
+    VectorConstReference<T, Sz>                        \
+  >                            expr_type;    \
+  return XprVector<expr_type, Sz>(                    \
+    expr_type(XprLiteral< TP >(lhs), rhs.const_ref()));            \
+}
+
+// integer operators only, e.g used on double you wil get an error
+namespace element_wise {
+  TVMET_IMPLEMENT_MACRO(mod, %, int)
+  TVMET_IMPLEMENT_MACRO(bitxor, ^, int)
+  TVMET_IMPLEMENT_MACRO(bitand, &, int)
+  TVMET_IMPLEMENT_MACRO(bitor, |, int)
+  TVMET_IMPLEMENT_MACRO(shl, <<, int)
+  TVMET_IMPLEMENT_MACRO(shr, >>, int)
+}
+
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >, int)
+TVMET_IMPLEMENT_MACRO(less, <, int)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=, int)
+TVMET_IMPLEMENT_MACRO(less_eq, <=, int)
+TVMET_IMPLEMENT_MACRO(eq, ==, int)
+TVMET_IMPLEMENT_MACRO(not_eq, !=, int)
+TVMET_IMPLEMENT_MACRO(and, &&, int)
+TVMET_IMPLEMENT_MACRO(or, ||, int)
+
+#if defined(TVMET_HAVE_LONG_LONG)
+// integer operators only
+namespace element_wise {
+  TVMET_IMPLEMENT_MACRO(mod, %, long long int)
+  TVMET_IMPLEMENT_MACRO(bitxor, ^, long long int)
+  TVMET_IMPLEMENT_MACRO(bitand, &, long long int)
+  TVMET_IMPLEMENT_MACRO(bitor, |, long long int)
+  TVMET_IMPLEMENT_MACRO(shl, <<, long long int)
+  TVMET_IMPLEMENT_MACRO(shr, >>, long long int)
+}
+
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >, long long int)
+TVMET_IMPLEMENT_MACRO(less, <, long long int)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=, long long int)
+TVMET_IMPLEMENT_MACRO(less_eq, <=, long long int)
+TVMET_IMPLEMENT_MACRO(eq, ==, long long int)
+TVMET_IMPLEMENT_MACRO(not_eq, !=, long long int)
+TVMET_IMPLEMENT_MACRO(and, &&, long long int)
+TVMET_IMPLEMENT_MACRO(or, ||, long long int)
+#endif // defined(TVMET_HAVE_LONG_LONG)
+
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >, float)
+TVMET_IMPLEMENT_MACRO(less, <, float)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=, float)
+TVMET_IMPLEMENT_MACRO(less_eq, <=, float)
+TVMET_IMPLEMENT_MACRO(eq, ==, float)
+TVMET_IMPLEMENT_MACRO(not_eq, !=, float)
+TVMET_IMPLEMENT_MACRO(and, &&, float)
+TVMET_IMPLEMENT_MACRO(or, ||, float)
+
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >, double)
+TVMET_IMPLEMENT_MACRO(less, <, double)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=, double)
+TVMET_IMPLEMENT_MACRO(less_eq, <=, double)
+TVMET_IMPLEMENT_MACRO(eq, ==, double)
+TVMET_IMPLEMENT_MACRO(not_eq, !=, double)
+TVMET_IMPLEMENT_MACRO(and, &&, double)
+TVMET_IMPLEMENT_MACRO(or, ||, double)
+
+#if defined(TVMET_HAVE_LONG_DOUBLE)
+// necessary operators for eval functions
+TVMET_IMPLEMENT_MACRO(greater, >, long double)
+TVMET_IMPLEMENT_MACRO(less, <, long double)
+TVMET_IMPLEMENT_MACRO(greater_eq, >=, long double)
+TVMET_IMPLEMENT_MACRO(less_eq, <=, long double)
+TVMET_IMPLEMENT_MACRO(eq, ==, long double)
+TVMET_IMPLEMENT_MACRO(not_eq, !=, long double)
+TVMET_IMPLEMENT_MACRO(and, &&, long double)
+TVMET_IMPLEMENT_MACRO(or, ||, long double)
+#endif // defined(TVMET_HAVE_LONG_DOUBLE)
+
+#undef TVMET_IMPLEMENT_MACRO
+
+
+/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ * global unary operators
+ *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
+
+
+/*
+ * unary_operator(Vector<T, Sz>)
+ * Note: per se element wise
+ */
+#define TVMET_IMPLEMENT_MACRO(NAME, OP)                    \
+template <class T, std::size_t Sz>                    \
+inline                                    \
+XprVector<                                \
+  XprUnOp<                                \
+    Fcnl_##NAME<T>,                            \
+    VectorConstReference<T, Sz>                        \
+  >,                                    \
+  Sz                                    \
+>                                    \
+operator OP (const Vector<T, Sz>& rhs) {                \
+  typedef XprUnOp<                            \
+    Fcnl_##NAME<T>,                            \
+    VectorConstReference<T, Sz>                        \
+  >                               expr_type;    \
+  return XprVector<expr_type, Sz>(expr_type(rhs.const_ref()));        \
+}
+
+TVMET_IMPLEMENT_MACRO(not, !)
+TVMET_IMPLEMENT_MACRO(compl, ~)
+TVMET_IMPLEMENT_MACRO(neg, -)
+
+#undef TVMET_IMPLEMENT_MACRO
+
+
+} // namespace tvmet
+
+#endif // TVMET_VECTOR_OPERATORS_H
+
+// Local Variables:
+// mode:C++
+// tab-width:8
+// End: