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SolidAngle.hpp
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// Copyright © 2020-2024 Alexandre Coderre-Chabot
//
// This file is part of Physical Quantities (PhQ), a C++ library of physical quantities, physical
// models, and units of measure for scientific computing.
//
// Physical Quantities is hosted at:
// https://github.com/acodcha/phq
//
// Physical Quantities is licensed under the MIT License:
// https://mit-license.org
//
// Permission is hereby granted, free of charge, to any person obtaining a copy of this software and
// associated documentation files (the "Software"), to deal in the Software without restriction,
// including without limitation the rights to use, copy, modify, merge, publish, distribute,
// sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// - The above copyright notice and this permission notice shall be included in all copies or
// substantial portions of the Software.
// - THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
// BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
#ifndef PHQ_UNIT_SOLID_ANGLE_HPP
#define PHQ_UNIT_SOLID_ANGLE_HPP
#include <cstddef>
#include <cstdint>
#include <functional>
#include <map>
#include <ostream>
#include <string_view>
#include <unordered_map>
#include "../Base.hpp"
#include "../Dimension/ElectricCurrent.hpp"
#include "../Dimension/Length.hpp"
#include "../Dimension/LuminousIntensity.hpp"
#include "../Dimension/Mass.hpp"
#include "../Dimension/SubstanceAmount.hpp"
#include "../Dimension/Temperature.hpp"
#include "../Dimension/Time.hpp"
#include "../Dimensions.hpp"
#include "../Unit.hpp"
#include "../UnitSystem.hpp"
namespace PhQ {
namespace Unit {
/// \brief Solid angle units. Measures the field of view of a portion of the surface of the unit
/// sphere viewed from the center of the unit sphere. Typically measured in steradians (sr), which
/// are square radians. The unit sphere has a total solid angle of 4π steradians.
enum class SolidAngle : int8_t {
/// \brief Steradian (sr) solid angle unit, also known as square radian.
Steradian,
/// \brief Square degree (deg^2) solid angle unit.
SquareDegree,
/// \brief Square arcminute (arcmin^2) solid angle unit.
SquareArcminute,
/// \brief Square arcsecond (arcsec^2) solid angle unit.
SquareArcsecond,
};
} // namespace Unit
/// \brief Standard solid angle unit: steradian (sr).
template <>
inline constexpr const Unit::SolidAngle Standard<Unit::SolidAngle>{Unit::SolidAngle::Steradian};
/// \brief Physical dimension set of solid angle units.
template <>
inline constexpr const Dimensions RelatedDimensions<Unit::SolidAngle>{Dimensionless};
inline std::ostream& operator<<(std::ostream& stream, const Unit::SolidAngle unit) {
stream << Abbreviation(unit);
return stream;
}
namespace Internal {
template <>
inline const std::map<UnitSystem, Unit::SolidAngle> ConsistentUnits<Unit::SolidAngle>{
{UnitSystem::MetreKilogramSecondKelvin, Unit::SolidAngle::Steradian},
{UnitSystem::MillimetreGramSecondKelvin, Unit::SolidAngle::Steradian},
{UnitSystem::FootPoundSecondRankine, Unit::SolidAngle::Steradian},
{UnitSystem::InchPoundSecondRankine, Unit::SolidAngle::Steradian},
};
template <>
inline const std::map<Unit::SolidAngle, UnitSystem> RelatedUnitSystems<Unit::SolidAngle>{};
template <>
inline const std::map<Unit::SolidAngle, std::string_view> Abbreviations<Unit::SolidAngle>{
{Unit::SolidAngle::Steradian, "sr" },
{Unit::SolidAngle::SquareDegree, "deg^2" },
{Unit::SolidAngle::SquareArcminute, "arcmin^2"},
{Unit::SolidAngle::SquareArcsecond, "arcsec^2"},
};
// clang-format off
template <>
inline const std::unordered_map<std::string_view, Unit::SolidAngle> Spellings<Unit::SolidAngle>{
{"sr", Unit::SolidAngle::Steradian },
{"rad^2", Unit::SolidAngle::SquareDegree },
{"rad2", Unit::SolidAngle::SquareDegree },
{"radian^2", Unit::SolidAngle::SquareDegree },
{"radian2", Unit::SolidAngle::SquareDegree },
{"radians^2", Unit::SolidAngle::SquareDegree },
{"radians2", Unit::SolidAngle::SquareDegree },
{"deg^2", Unit::SolidAngle::SquareDegree },
{"deg2", Unit::SolidAngle::SquareDegree },
{"degree^2", Unit::SolidAngle::SquareDegree },
{"degree2", Unit::SolidAngle::SquareDegree },
{"degrees^2", Unit::SolidAngle::SquareDegree },
{"degrees2", Unit::SolidAngle::SquareDegree },
{"°^2", Unit::SolidAngle::SquareDegree },
{"°2", Unit::SolidAngle::SquareDegree },
{"'^2", Unit::SolidAngle::SquareArcminute},
{"'2", Unit::SolidAngle::SquareArcminute},
{"am^2", Unit::SolidAngle::SquareArcminute},
{"am2", Unit::SolidAngle::SquareArcminute},
{"arcmin^2", Unit::SolidAngle::SquareArcminute},
{"arcmin2", Unit::SolidAngle::SquareArcminute},
{"arcminute^2", Unit::SolidAngle::SquareArcminute},
{"arcminute2", Unit::SolidAngle::SquareArcminute},
{"arcminutes^2", Unit::SolidAngle::SquareArcminute},
{"arcminutes2", Unit::SolidAngle::SquareArcminute},
{"\"^2", Unit::SolidAngle::SquareArcsecond},
{"\"2", Unit::SolidAngle::SquareArcsecond},
{"as", Unit::SolidAngle::SquareArcsecond},
{"as^2", Unit::SolidAngle::SquareArcsecond},
{"arcs^2", Unit::SolidAngle::SquareArcsecond},
{"arcs2", Unit::SolidAngle::SquareArcsecond},
{"arcsec^2", Unit::SolidAngle::SquareArcsecond},
{"arcsec2", Unit::SolidAngle::SquareArcsecond},
{"arcsecond^2", Unit::SolidAngle::SquareArcsecond},
{"arcsecond2", Unit::SolidAngle::SquareArcsecond},
{"arcseconds^2", Unit::SolidAngle::SquareArcsecond},
{"arcseconds2", Unit::SolidAngle::SquareArcsecond},
};
// clang-format on
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::Steradian>::FromStandard(
NumericType& /*value*/) noexcept {}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::Steradian>::ToStandard(
NumericType& /*value*/) noexcept {}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::SquareDegree>::FromStandard(
NumericType& value) noexcept {
value *= static_cast<NumericType>(180.0L) * static_cast<NumericType>(180.0L)
/ (Pi<NumericType> * Pi<NumericType>);
}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::SquareDegree>::ToStandard(
NumericType& value) noexcept {
value *= Pi<NumericType> * Pi<NumericType>
/ (static_cast<NumericType>(180.0L) * static_cast<NumericType>(180.0L));
}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::SquareArcminute>::FromStandard(
NumericType& value) noexcept {
value *= static_cast<NumericType>(10800.0L) * static_cast<NumericType>(10800.0L)
/ (Pi<NumericType> * Pi<NumericType>);
}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::SquareArcminute>::ToStandard(
NumericType& value) noexcept {
value *= Pi<NumericType> * Pi<NumericType>
/ (static_cast<NumericType>(10800.0L) * static_cast<NumericType>(10800.0L));
}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::SquareArcsecond>::FromStandard(
NumericType& value) noexcept {
value *= static_cast<NumericType>(648000.0L) * static_cast<NumericType>(648000.0L)
/ (Pi<NumericType> * Pi<NumericType>);
}
template <>
template <typename NumericType>
inline constexpr void Conversion<Unit::SolidAngle, Unit::SolidAngle::SquareArcsecond>::ToStandard(
NumericType& value) noexcept {
value *= Pi<NumericType> * Pi<NumericType>
/ (static_cast<NumericType>(648000.0L) * static_cast<NumericType>(648000.0L));
}
template <typename NumericType>
inline const std::map<Unit::SolidAngle,
std::function<void(NumericType* values, const std::size_t size)>>
MapOfConversionsFromStandard<Unit::SolidAngle, NumericType>{
{Unit::SolidAngle::Steradian,
Conversions<Unit::SolidAngle, Unit::SolidAngle::Steradian>::FromStandard<NumericType> },
{Unit::SolidAngle::SquareDegree,
Conversions<Unit::SolidAngle, Unit::SolidAngle::SquareDegree>::FromStandard<NumericType> },
{Unit::SolidAngle::SquareArcminute,
Conversions<Unit::SolidAngle, Unit::SolidAngle::SquareArcminute>::FromStandard<NumericType>},
{Unit::SolidAngle::SquareArcsecond,
Conversions<Unit::SolidAngle, Unit::SolidAngle::SquareArcsecond>::FromStandard<NumericType>},
};
template <typename NumericType>
inline const std::map<Unit::SolidAngle,
std::function<void(NumericType* const values, const std::size_t size)>>
MapOfConversionsToStandard<Unit::SolidAngle, NumericType>{
{Unit::SolidAngle::Steradian,
Conversions<Unit::SolidAngle, Unit::SolidAngle::Steradian>::ToStandard<NumericType> },
{Unit::SolidAngle::SquareDegree,
Conversions<Unit::SolidAngle, Unit::SolidAngle::SquareDegree>::ToStandard<NumericType> },
{Unit::SolidAngle::SquareArcminute,
Conversions<Unit::SolidAngle, Unit::SolidAngle::SquareArcminute>::ToStandard<NumericType>},
{Unit::SolidAngle::SquareArcsecond,
Conversions<Unit::SolidAngle, Unit::SolidAngle::SquareArcsecond>::ToStandard<NumericType>},
};
} // namespace Internal
} // namespace PhQ
#endif // PHQ_UNIT_SOLID_ANGLE_HPP