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Split complex and quaternion arithmetic and stream operators

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This commit is contained in:
Nick Matteo 2016-05-25 11:37:03 -04:00
parent 42133b805e
commit 69590e2ad2
20 changed files with 801 additions and 734 deletions
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sprout/complex/arithmetic_operators.hpp Normal file
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/*=============================================================================
Copyright (c) 2011-2016 Bolero MURAKAMI
https://github.com/bolero-MURAKAMI/Sprout
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
=============================================================================*/
#ifndef SPROUT_COMPLEX_ARITHMETIC_OPERATORS_HPP
#define SPROUT_COMPLEX_ARITHMETIC_OPERATORS_HPP
#include <sprout/config.hpp>
#include <sprout/complex/complex.hpp>
namespace sprout {
// 26.4.6, operators:
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator+(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
return sprout::complex<T>(lhs.real() + rhs.real(), lhs.imag() + rhs.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator+(sprout::complex<T> const& lhs, T const& rhs) {
return sprout::complex<T>(lhs.real() + rhs, lhs.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator+(T const& lhs, sprout::complex<T> const& rhs) {
return sprout::complex<T>(lhs + rhs.real(), rhs.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator-(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
return sprout::complex<T>(lhs.real() - rhs.real(), lhs.imag() - rhs.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator-(sprout::complex<T> const& lhs, T const& rhs) {
return sprout::complex<T>(lhs.real() - rhs, lhs.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator-(T const& lhs, sprout::complex<T> const& rhs) {
return sprout::complex<T>(lhs - rhs.real(), -rhs.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator*(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
return sprout::complex<T>(
lhs.real() * rhs.real() - lhs.imag() * rhs.imag(),
lhs.real() * rhs.imag() + lhs.imag() * rhs.real()
);
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator*(sprout::complex<T> const& lhs, T const& rhs) {
return sprout::complex<T>(lhs.real() * rhs, lhs.imag() * rhs);
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator*(T const& lhs, sprout::complex<T> const& rhs) {
return sprout::complex<T>(lhs * rhs.real(), lhs * rhs.imag());
}
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
divides_impl(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs, T const& n) {
return sprout::complex<T>(
(lhs.real() * rhs.real() + lhs.imag() * rhs.imag()) / n,
(lhs.imag() * rhs.real() - lhs.real() * rhs.imag()) / n
);
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
divides_impl(T const& lhs, sprout::complex<T> const& rhs, T const& n) {
return sprout::complex<T>(lhs * rhs.real() / n, -lhs * rhs.imag() / n);
}
} // namespace detail
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator/(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
return sprout::detail::divides_impl(lhs, rhs, sprout::detail::complex_norm(rhs));
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator/(sprout::complex<T> const& lhs, T const& rhs) {
return sprout::complex<T>(lhs.real() / rhs, lhs.imag() / rhs);
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator/(T const& lhs, sprout::complex<T> const& rhs) {
return sprout::detail::divides_impl(lhs, rhs, sprout::detail::complex_norm(rhs));
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator+(sprout::complex<T> const& x) {
return x;
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
operator-(sprout::complex<T> const& x) {
return sprout::complex<T>(-x.real(), -x.imag());
}
template<typename T>
inline SPROUT_CONSTEXPR bool
operator==(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
return lhs.real() == rhs.real() && lhs.imag() == rhs.imag();
}
template<typename T>
inline SPROUT_CONSTEXPR bool
operator==(sprout::complex<T> const& lhs, T const& rhs) {
return lhs.real() == rhs && lhs.imag() == T();
}
template<typename T>
inline SPROUT_CONSTEXPR bool
operator==(T const& lhs, sprout::complex<T> const& rhs) {
return lhs == rhs.real() && T() == rhs.imag();
}
template<typename T>
inline SPROUT_CONSTEXPR bool
operator!=(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
return !(lhs == rhs);
}
template<typename T>
inline SPROUT_CONSTEXPR bool
operator!=(sprout::complex<T> const& lhs, T const& rhs) {
return !(lhs == rhs);
}
template<typename T>
inline SPROUT_CONSTEXPR bool
operator!=(T const& lhs, sprout::complex<T> const& rhs) {
return !(lhs == rhs);
}
} // namespace sprout
#endif // #ifndef SPROUT_COMPLEX_ARITHMETIC_OPERATORS_HPP