#ifndef Magnum_Math_Angle_h #define Magnum_Math_Angle_h /* This file is part of Magnum. Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026 Vladimír Vondruš 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. */ /** @file * @brief Class @ref Magnum::Math::Deg, @ref Magnum::Math::Rad, literal @link Magnum::Math::Literals::AngleLiterals::operator""_degf() @endlink, @link Magnum::Math::Literals::AngleLiterals::operator""_radf() @endlink, @link Magnum::Math::Literals::AngleLiterals::operator""_deg() @endlink, @link Magnum::Math::Literals::AngleLiterals::operator""_rad() @endlink */ #ifndef CORRADE_SINGLES_NO_DEBUG #include #endif #include "Magnum/visibility.h" #include "Magnum/Magnum.h" #include "Magnum/Math/Constants.h" #include "Magnum/Math/Math.h" #include "Magnum/Math/Unit.h" namespace Magnum { namespace Math { /** @brief Angle in degrees Along with @ref Rad provides convenience classes to make angle specification and conversion less error-prone. @section Math-Deg-usage Usage You can create the value either by using a literal: @snippet Math.cpp Deg-usage Or explicitly convert a unitless value (such as an output from some function) to either degrees or radians: @snippet Math.cpp Deg-usage-convert The classes support all arithmetic operations, such as addition, subtraction or multiplication/division by a unitless number: @snippet Math.cpp Deg-usage-operations It is also possible to compare angles with all comparison operators, but comparison of degrees and radians is not possible without explicit conversion to a common type: @snippet Math.cpp Deg-usage-comparison It is possible to seamlessly convert between degrees and radians and explicitly convert the value back to the underlying type: @snippet Math.cpp Deg-usage-conversion @section Math-Angle-explicit-conversion Requirement of explicit conversion The requirement of explicit conversions from and to unitless types helps to reduce unit-based errors. Consider the following example that would compile only if implicit conversions were allowed: @code{.cpp} namespace std { float sin(float angle); } Float sine(Rad angle); Float a = 60.0f; // degrees sine(a); // silent error, sine() expected radians auto b = 60.0_degf; // degrees std::sin(b); // silent error, std::sin() expected radians @endcode These silent errors are easily avoided by requiring explicit conversions: @snippet Math.cpp Deg-usage-explicit-conversion @see @link Literals::AngleLiterals::operator""_degf() @endlink, @link Literals::AngleLiterals::operator""_deg() @endlink, @ref Magnum::Deg, @ref Magnum::Degh, @ref Magnum::Degd */ template class Deg: public Unit { public: /** * @brief Default constructor * * Equivalent to @ref Deg(ZeroInitT). */ /* Needs to be Math::Deg here and in all other places because older Clang and both MSVC 2015 and 2017 treat it as a template instance Deg instead of a Deg template */ constexpr /*implicit*/ Deg() noexcept: Unit{ZeroInit} {} /** @brief Construct a zero angle */ constexpr explicit Deg(ZeroInitT) noexcept: Unit{ZeroInit} {} /** @brief Construct without initializing the contents */ explicit Deg(Magnum::NoInitT) noexcept: Unit{Magnum::NoInit} {} /** @brief Explicit constructor from a unitless type */ constexpr explicit Deg(T value) noexcept: Unit(value) {} /** @brief Construct from another underlying type */ template constexpr explicit Deg(Unit value) noexcept: Unit(value) {} /** @brief Copy constructor */ /* Needed in order to make arithmetic operations (which have a Unit return type) convertible to Deg */ constexpr /*implicit*/ Deg(Unit other) noexcept: Unit(other) {} /** * @brief Construct degrees from radians * * Performs conversion from radians to degrees, i.e.: @f[ * deg = rad \frac{180}{\pi} * @f] * @m_keyword{degrees(),GLSL degrees(),} */ constexpr /*implicit*/ Deg(Unit value) noexcept; }; /* Unlike STL, where there's e.g. std::literals::string_literals with both being inline, here's just the second inline because making both would cause the literals to be implicitly available to all code in Math. Which isn't great if there are eventually going to be conflicts. In case of STL the expected use case was that literals are available to anybody who does `using namespace std;`, that doesn't apply here as most APIs are in subnamespaces that *should not* be pulled in via `using` as a whole. */ namespace Literals { /** @todoc The inline causes "error: non-const getClassDef() called on aliased member. Please report as a bug." on Doxygen 1.8.18, plus the fork I have doesn't even mark them as inline in the XML output yet. And it also duplicates the literal reference to parent namespace, adding extra noise. Revisit once upgrading to a newer version. */ #ifndef DOXYGEN_GENERATING_OUTPUT inline #endif namespace AngleLiterals { /* According to https://wg21.link/CWG2521, space between "" and literal name is deprecated because _Uppercase or __double names could be treated as reserved depending on whether the space was present or not, and whitespace is not load-bearing in any other contexts. Clang 17+ adds an off-by-default warning for this; GCC 4.8 however *requires* the space there, so until GCC 4.8 support is dropped, we suppress this warning instead of removing the space. GCC 15 now has the same warning but it's enabled by default on -std=c++23. */ #if (defined(CORRADE_TARGET_CLANG) && __clang_major__ >= 17) || (defined(CORRADE_TARGET_GCC) && !defined(CORRADE_TARGET_CLANG) && __GNUC__ >= 15) #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wdeprecated-literal-operator" #endif /** @relatesalso Magnum::Math::Deg @brief Double-precision degree value literal Example usage: @snippet Math.cpp _deg @see @link operator""_degf() @endlink, @link operator""_rad() @endlink @m_keywords{_deg deg} */ constexpr Deg operator"" _deg(long double value) { return Deg(Double(value)); } /** @relatesalso Magnum::Math::Deg @brief Single-precision degree value literal Example usage: @snippet Math.cpp _degf @see @link operator""_deg() @endlink, @link operator""_radf() @endlink @m_keywords{_degf degf} */ constexpr Deg operator"" _degf(long double value) { return Deg(Float(value)); } #if (defined(CORRADE_TARGET_CLANG) && __clang_major__ >= 17) || (defined(CORRADE_TARGET_GCC) && !defined(CORRADE_TARGET_CLANG) && __GNUC__ >= 15) #pragma GCC diagnostic pop #endif }} /** @brief Angle in radians See @ref Deg for more information. @see @link Literals::AngleLiterals::operator""_radf() @endlink, @link Literals::AngleLiterals::operator""_rad() @endlink, @ref Magnum::Rad, @ref Magnum::Radh, @ref Magnum::Radd */ template class Rad: public Unit { public: /** * @brief Default constructor * * Equivalent to @ref Rad(ZeroInitT). */ constexpr /*implicit*/ Rad() noexcept: Unit{ZeroInit} {} /** @brief Constructor a zero angle */ constexpr explicit Rad(ZeroInitT) noexcept: Unit{ZeroInit} {} /** @brief Construct without initializing the contents */ explicit Rad(Magnum::NoInitT) noexcept: Unit{Magnum::NoInit} {} /** @brief Construct from unitless type */ constexpr explicit Rad(T value) noexcept: Unit(value) {} /** @brief Construct from another underlying type */ template constexpr explicit Rad(Unit value) noexcept: Unit(value) {} /** @brief Copy constructor */ /* Needed in order to make arithmetic operations (which have a Unit return type) convertible to Rad */ constexpr /*implicit*/ Rad(Unit value) noexcept: Unit(value) {} /** * @brief Construct radians from degrees * * Performs conversion from degrees to radians, i.e.: @f[ * rad = deg \frac{\pi}{180} * @f] * @m_keyword{radians(),GLSL radians(),} */ constexpr /*implicit*/ Rad(Unit value) noexcept; }; /* Unlike STL, where there's e.g. std::literals::string_literals with both being inline, here's just the second inline because making both would cause the literals to be implicitly available to all code in Math. Which isn't great if there are eventually going to be conflicts. In case of STL the expected use case was that literals are available to anybody who does `using namespace std;`, that doesn't apply here as most APIs are in subnamespaces that *should not* be pulled in via `using` as a whole. */ namespace Literals { /** @todoc The inline causes "error: non-const getClassDef() called on aliased member. Please report as a bug." on Doxygen 1.8.18, plus the fork I have doesn't even mark them as inline in the XML output yet. And it also duplicates the literal reference to parent namespace, adding extra noise. Revisit once upgrading to a newer version. */ #ifndef DOXYGEN_GENERATING_OUTPUT inline #endif namespace AngleLiterals { /* According to https://wg21.link/CWG2521, space between "" and literal name is deprecated because _Uppercase or __double names could be treated as reserved depending on whether the space was present or not, and whitespace is not load-bearing in any other contexts. Clang 17+ adds an off-by-default warning for this; GCC 4.8 however *requires* the space there, so until GCC 4.8 support is dropped, we suppress this warning instead of removing the space. GCC 15 now has the same warning but it's enabled by default on -std=c++23. */ #if (defined(CORRADE_TARGET_CLANG) && __clang_major__ >= 17) || (defined(CORRADE_TARGET_GCC) && !defined(CORRADE_TARGET_CLANG) && __GNUC__ >= 15) #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wdeprecated-literal-operator" #endif /** @relatesalso Magnum::Math::Rad @brief Double-precision radian value literal See @link operator""_deg() @endlink for more information. @see @link operator""_radf() @endlink @m_keywords{_rad rad} */ constexpr Rad operator"" _rad(long double value) { return Rad(Double(value)); } /** @relatesalso Magnum::Math::Rad @brief Single-precision radian value literal See @link operator""_degf() @endlink for more information. @see @link operator""_rad() @endlink @m_keywords{_radf radf} */ constexpr Rad operator"" _radf(long double value) { return Rad(Float(value)); } #if (defined(CORRADE_TARGET_CLANG) && __clang_major__ >= 17) || (defined(CORRADE_TARGET_GCC) && !defined(CORRADE_TARGET_CLANG) && __GNUC__ >= 15) #pragma GCC diagnostic pop #endif }} template constexpr Deg::Deg(Unit value) noexcept: Unit(T(180)*T(value)/Math::Constants::pi()) {} template constexpr Rad::Rad(Unit value) noexcept: Unit(T(value)*Math::Constants::pi()/T(180)) {} #ifndef CORRADE_SINGLES_NO_DEBUG /** @debugoperator{Rad} */ template Utility::Debug& operator<<(Utility::Debug& debug, const Unit& value) { if(debug.immediateFlags() >= Utility::Debug::Flag::Packed) return debug << T(value); return debug << "Rad(" << Utility::Debug::nospace << T(value) << Utility::Debug::nospace << ")"; } /** @debugoperator{Deg} */ template Utility::Debug& operator<<(Utility::Debug& debug, const Unit& value) { if(debug.immediateFlags() >= Utility::Debug::Flag::Packed) return debug << T(value); return debug << "Deg(" << Utility::Debug::nospace << T(value) << Utility::Debug::nospace << ")"; } /* Explicit instantiation for commonly used types */ #ifndef DOXYGEN_GENERATING_OUTPUT extern template MAGNUM_EXPORT Utility::Debug& operator<<(Utility::Debug&, const Unit&); extern template MAGNUM_EXPORT Utility::Debug& operator<<(Utility::Debug&, const Unit&); extern template MAGNUM_EXPORT Utility::Debug& operator<<(Utility::Debug&, const Unit&); extern template MAGNUM_EXPORT Utility::Debug& operator<<(Utility::Debug&, const Unit&); #endif #endif }} #if !defined(CORRADE_NO_TWEAKABLE) && (defined(DOXYGEN_GENERATING_OUTPUT) || defined(CORRADE_TARGET_UNIX) || (defined(CORRADE_TARGET_WINDOWS) && !defined(CORRADE_TARGET_WINDOWS_RT)) || defined(CORRADE_TARGET_EMSCRIPTEN)) namespace Corrade { namespace Utility { /** @tweakableliteral{Magnum::Math::Deg} Parses the @link Magnum::Math::Literals::AngleLiterals::operator""_degf @endlink literal. @experimental */ template<> struct MAGNUM_EXPORT TweakableParser> { TweakableParser() = delete; /** @brief Parse the value */ static Containers::Pair> parse(Containers::StringView value); }; #ifndef DOXYGEN_GENERATING_OUTPUT /* Needed to parse e.g. -1.0_degf, which is the base class type */ template<> struct TweakableParser>: TweakableParser> {}; #endif /** @tweakableliteral{Magnum::Math::Deg} Parses the @link Magnum::Math::Literals::AngleLiterals::operator""_deg @endlink literal. @experimental */ template<> struct MAGNUM_EXPORT TweakableParser> { TweakableParser() = delete; /** @brief Parse the value */ static Containers::Pair> parse(Containers::StringView value); }; #ifndef DOXYGEN_GENERATING_OUTPUT /* Needed to parse e.g. -1.0_deg, which is the base class type */ template<> struct TweakableParser>: TweakableParser> {}; #endif /** @tweakableliteral{Magnum::Math::Rad} Parses the @link Magnum::Math::Literals::AngleLiterals::operator""_radf @endlink literal. @experimental */ template<> struct MAGNUM_EXPORT TweakableParser> { TweakableParser() = delete; /** @brief Parse the value */ static Containers::Pair> parse(Containers::StringView value); }; #ifndef DOXYGEN_GENERATING_OUTPUT /* Needed to parse e.g. -1.0_radf, which is the base class type */ template<> struct TweakableParser>: TweakableParser> {}; #endif /** @tweakableliteral{Magnum::Math::Rad} Parses the @link Magnum::Math::Literals::AngleLiterals::operator""_rad @endlink literal. @experimental */ template<> struct MAGNUM_EXPORT TweakableParser> { TweakableParser() = delete; /** @brief Parse the value */ static Containers::Pair> parse(Containers::StringView value); }; #ifndef DOXYGEN_GENERATING_OUTPUT /* Needed to parse e.g. -1.0_rad, which is the base class type */ template<> struct TweakableParser>: TweakableParser> {}; #endif }} #endif #endif