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math.hpp
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//===-- rosa/support/math.hpp -----------------------------------*- C++ -*-===//
//
// The RoSA Framework
//
//===----------------------------------------------------------------------===//
///
/// \file rosa/support/math.hpp
///
/// \author David Juhasz (david.juhasz@tuwien.ac.at)
///
/// \date 2017
///
/// \brief Math helpers.
///
//===----------------------------------------------------------------------===//
// !!!!!! Please check lines 60 - 180 forward !!!!!!!!!!!!!!
#ifndef ROSA_SUPPORT_MATH_HPP
#define ROSA_SUPPORT_MATH_HPP
#include "debug.hpp"
#include <algorithm>
#include <array>
#include <cmath>
#include <cstdarg>
#include <cstdlib>
#include <limits>
#include <type_traits>
namespace rosa {
/// Computes log base 2 of a number.
///
/// \param N the number to compute log base 2 for
///
/// \return log base 2 of \p N
constexpr size_t log2(const size_t N) {
return ((N < 2) ? 1 : 1 + log2(N / 2));
}
/// Tells the next representable floating point value.
///
/// \tparam T type to operate on
///
/// \note The second type argument enforces \p T being a floating point type,
/// always use the default value!
///
/// \param V value to which find the next representable one
///
/// \return the next representable value of type \p T after value \p V
///
/// \pre Type \p T must be a floating point type, which is enforced by
/// `std::enable_if` in the second type argument.
template <typename T,
typename = std::enable_if_t<std::is_floating_point<T>::value>>
T nextRepresentableFloatingPoint(const T V) {
return std::nextafter(V, std::numeric_limits<T>::infinity());
}
/// Conjuncts two or more values with each other.
///
/// \param Data an array of the data
///
/// \return the conjunction of the values given as parameter.
template <typename CONFDATATYPE, std::size_t size>
CONFDATATYPE fuzzyAND(const std::array<CONFDATATYPE, size> & Data) noexcept {
STATIC_ASSERT(std::is_arithmetic<CONFDATATYPE>::value,
"Type of FuzzyAnd is not arithmetic");
STATIC_ASSERT(size > 1, "Number of Arguments is to little");
for (auto tmp : Data)
ASSERT(tmp <= 1 && tmp >= 0);
return *std::min_element(Data.begin(), Data.end());
}
/// Conjuncts two or more values with each other. It's a wrapper for \c fuzzyAND() [array]
///
/// \param Data first data to get the type explicitly
///
/// \param Datan a package of data
///
/// \note the types of Datan must be the same type as Data
///
/// \return the conjunction of the values given as parameter.
template <typename CONFDATATYPE, typename... _CONFDATATYPE>
std::enable_if_t<
std::conjunction_v<std::is_same<CONFDATATYPE, _CONFDATATYPE>...>,
CONFDATATYPE>
fuzzyAND(const CONFDATATYPE Data, const _CONFDATATYPE... Datan) noexcept {
return fuzzyAND(
std::array<CONFDATATYPE, sizeof...(Datan) + 1>{Data, Datan...});
}
/// Disjuncts two or more values with each other.
///
/// \param Data an array with the data.
///
/// \return the disjunction of the values given as parameter.
template <typename CONFDATATYPE, std::size_t size>
CONFDATATYPE fuzzyOR(const std::array<CONFDATATYPE, size> & Data) noexcept {
STATIC_ASSERT(std::is_arithmetic<CONFDATATYPE>::value,
"Type of FuzzyAnd is not arithmetic");
STATIC_ASSERT(size > 1, "Number of Arguments is to little");
ASSERT(std::all_of(Data.begin(), Data.end(),
[](const auto &v) { return v <= 1 && v >= 0; }));
return *std::max_element(Data.begin(), Data.end());
}
/// Disjuncts two or more values with each other. It's a wrapper for \c fuzzyOR() [array]
///
/// \param Data first data to get the type explicitly
///
/// \param Datan a package of data
///
/// \note the types of Datan must be the same type as Data
///
/// \return the disjunction of the values given as parameter.
template <typename CONFDATATYPE, typename... _CONFDATATYPE>
std::enable_if_t<
std::conjunction_v<std::is_same<CONFDATATYPE, _CONFDATATYPE>...>,
CONFDATATYPE>
fuzzyOR(const CONFDATATYPE Data, const _CONFDATATYPE... Datan) noexcept {
return fuzzyOR(
std::array<CONFDATATYPE, sizeof...(Datan) + 1>{Data, Datan...});
}
template <typename INDATATYPE, typename PROCDATATYPE>
PROCDATATYPE relativeDistance(INDATATYPE NewValue,
INDATATYPE HistoryValue) noexcept {
PROCDATATYPE Dist = HistoryValue - NewValue;
if (Dist == 0) {
return 0;
} else {
Dist = Dist / NewValue;
if (Dist < 0) {
// TODO: I guess this multiplication here should not be done because
// it could be that the distance fuzzy functions are not symetrical
//(negative and positive side)
Dist = Dist * (-1);
}
return (Dist);
}
}
} // End namespace rosa
#endif // ROSA_SUPPORT_MATH_HPP

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