Math: Remove NAZARA_MATH_ANGLE_RADIAN and functions using it
This commit is contained in:
@@ -9,6 +9,7 @@
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#define NAZARA_ALGORITHM_MATH_HPP
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#include <Nazara/Prerequisites.hpp>
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#include <Nazara/Math/Enums.hpp>
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#include <cmath>
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#include <limits>
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#include <string>
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@@ -35,11 +36,12 @@
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namespace Nz
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{
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template<AngleUnit Unit, typename T> class Angle;
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template<typename T> constexpr T Approach(T value, T objective, T increment);
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template<typename T> constexpr T Clamp(T value, T min, T max);
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template<typename T, AngleUnit Unit> constexpr Angle<Unit, T> Clamp(Angle<Unit, T> value, T min, T max);
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template<typename T> constexpr std::size_t CountBits(T value);
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template<typename T> constexpr T FromDegrees(T degrees);
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template<typename T> constexpr T FromRadians(T radians);
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template<typename T> constexpr T DegreeToRadian(T degrees);
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template<typename T> constexpr T GetNearestPowerOfTwo(T number);
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constexpr unsigned int GetNumberLength(signed char number);
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@@ -56,7 +58,6 @@ namespace Nz
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template<typename T> constexpr T IntegralPow(T base, unsigned int exponent);
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template<typename T, typename T2> constexpr T Lerp(const T& from, const T& to, const T2& interpolation);
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template<typename T> constexpr T MultiplyAdd(T x, T y, T z);
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template<typename T> constexpr T NormalizeAngle(T angle);
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template<typename T> constexpr bool NumberEquals(T a, T b);
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template<typename T> constexpr bool NumberEquals(T a, T b, T maxDifference);
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inline std::string NumberToString(long long number, UInt8 radix = 10);
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@@ -64,8 +65,6 @@ namespace Nz
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template<typename T> T SetBit(T number, T bit);
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inline long long StringToNumber(const std::string_view& str, UInt8 radix = 10, bool* ok = nullptr);
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template<typename T> bool TestBit(T number, T bit);
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template<typename T> constexpr T ToDegrees(T angle);
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template<typename T> constexpr T ToRadians(T angle);
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}
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#include <Nazara/Math/Algorithm.inl>
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@@ -157,6 +157,21 @@ namespace Nz
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return std::max(std::min(value, max), min);
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}
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/*!
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* \ingroup math
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* \brief Clamps an angle value between min and max and returns the expected value
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* \return If value is not in the interval of min..max, value obtained is the nearest limit of this interval
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*
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* \param value Value to clamp
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* \param min Minimum of the interval
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* \param max Maximum of the interval
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*/
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template<typename T, AngleUnit Unit>
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constexpr Angle<Unit, T> Clamp(Angle<Unit, T> value, T min, T max)
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{
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return T();
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}
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/*!
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* \ingroup math
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* \brief Gets number of bits set in the number
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@@ -191,40 +206,6 @@ namespace Nz
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return degrees * T(M_PI/180.0);
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}
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/*!
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* \ingroup math
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* \brief Gets the unit from degree and convert it according to NAZARA_MATH_ANGLE_RADIAN
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* \return Express the degrees
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*
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* \param degrees Convert degree to NAZARA_MATH_ANGLE_RADIAN unit
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*/
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template<typename T>
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constexpr T FromDegrees(T degrees)
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{
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#if NAZARA_MATH_ANGLE_RADIAN
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return DegreeToRadian(degrees);
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#else
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return degrees;
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#endif
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}
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/*!
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* \ingroup math
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* \brief Gets the unit from radian and convert it according to NAZARA_MATH_ANGLE_RADIAN
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* \return Express the radians
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*
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* \param radians Convert radian to NAZARA_MATH_ANGLE_RADIAN unit
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*/
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template<typename T>
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constexpr T FromRadians(T radians)
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{
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#if NAZARA_MATH_ANGLE_RADIAN
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return radians;
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#else
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return RadianToDegree(radians);
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#endif
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}
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/*!
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* \ingroup math
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* \brief Gets the nearest power of two for the number
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@@ -506,30 +487,6 @@ namespace Nz
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}
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#endif
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/*!
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* \ingroup math
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* \brief Normalizes the angle
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* \return Normalized value between 0..2*(pi if radian or 180 if degrees)
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*
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* \param angle Angle to normalize
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*/
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template<typename T>
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constexpr inline T NormalizeAngle(T angle)
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{
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#if NAZARA_MATH_ANGLE_RADIAN
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const T limit = T(M_PI);
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#else
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const T limit = T(180.0);
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#endif
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const T twoLimit = limit * T(2);
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angle = std::fmod(angle, twoLimit);
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if (angle < T(0))
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angle += twoLimit;
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return angle;
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}
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/*!
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* \ingroup math
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* \brief Checks whether two numbers are equal
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@@ -702,40 +659,7 @@ namespace Nz
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NazaraAssert(bit < sizeof(number) * CHAR_BIT, "bit index out of range");
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return number & (T(1) << bit);
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}
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/*!
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* \ingroup math
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* \brief Gets the degree from unit and convert it according to NAZARA_MATH_ANGLE_RADIAN
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* \return Express in degrees
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*
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* \param angle Convert degree from NAZARA_MATH_ANGLE_RADIAN unit to degrees
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*/
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template<typename T>
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constexpr T ToDegrees(T angle)
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{
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#if NAZARA_MATH_ANGLE_RADIAN
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return RadianToDegree(angle);
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#else
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return angle;
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#endif
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}
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/*!
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* \ingroup math
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* \brief Gets the radian from unit and convert it according to NAZARA_MATH_ANGLE_RADIAN
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* \return Express in radians
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*
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* \param angle Convert degree from NAZARA_MATH_ANGLE_RADIAN unit to radians
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*/
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template<typename T>
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constexpr T ToRadians(T angle)
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{
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#if NAZARA_MATH_ANGLE_RADIAN
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return angle;
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#else
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return DegreeToRadian(angle);
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#endif
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}
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}
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#include <Nazara/Core/DebugOff.hpp>
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#include "Algorithm.hpp"
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@@ -26,11 +26,11 @@ namespace Nz
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class Angle
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{
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public:
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Angle() = default;
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Angle(T angle);
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Angle(const Angle<AngleUnit::Degree, T>& angle);
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Angle(const Angle<AngleUnit::Radian, T>& angle);
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template<typename U> explicit Angle(const Angle<Unit, U>& Angle);
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constexpr Angle() = default;
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constexpr Angle(T angle);
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template<typename U> constexpr explicit Angle(const Angle<Unit, U>& Angle);
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constexpr Angle(const Angle<AngleUnit::Degree, T>& angle);
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constexpr Angle(const Angle<AngleUnit::Radian, T>& angle);
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~Angle() = default;
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T GetCos() const;
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@@ -38,39 +38,39 @@ namespace Nz
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std::pair<T, T> GetSinCos() const;
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T GetTan() const;
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Angle& MakeZero();
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constexpr Angle& MakeZero();
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void Normalize();
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constexpr Angle& Normalize();
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Angle& Set(const Angle& ang);
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template<typename U> Angle& Set(const Angle<Unit, U>& ang);
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constexpr Angle& Set(const Angle& ang);
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template<typename U> constexpr Angle& Set(const Angle<Unit, U>& ang);
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T ToDegrees() const;
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Angle<AngleUnit::Degree, T> ToDegreeAngle() const;
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constexpr T ToDegrees() const;
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constexpr Angle<AngleUnit::Degree, T> ToDegreeAngle() const;
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EulerAngles<T> ToEulerAngles() const;
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Quaternion<T> ToQuaternion() const;
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T ToRadians() const;
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Angle<AngleUnit::Radian, T> ToRadianAngle() const;
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constexpr T ToRadians() const;
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constexpr Angle<AngleUnit::Radian, T> ToRadianAngle() const;
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std::string ToString() const;
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Angle& operator=(const Angle&) = default;
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constexpr Angle& operator=(const Angle&) = default;
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Angle operator+(const Angle& other) const;
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Angle operator-(const Angle& other) const;
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Angle operator*(T scalar) const;
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Angle operator/(T divider) const;
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constexpr Angle operator+(const Angle& other) const;
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constexpr Angle operator-(const Angle& other) const;
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constexpr Angle operator*(T scalar) const;
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constexpr Angle operator/(T divider) const;
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Angle& operator+=(const Angle& other);
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Angle& operator-=(const Angle& other);
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Angle& operator*=(T scalar);
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Angle& operator/=(T divider);
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constexpr Angle& operator+=(const Angle& other);
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constexpr Angle& operator-=(const Angle& other);
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constexpr Angle& operator*=(T scalar);
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constexpr Angle& operator/=(T divider);
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bool operator==(const Angle& other) const;
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bool operator!=(const Angle& other) const;
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constexpr bool operator==(const Angle& other) const;
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constexpr bool operator!=(const Angle& other) const;
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static Angle FromDegrees(T ang);
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static Angle FromRadians(T ang);
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static Angle Zero();
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static constexpr Angle FromDegrees(T ang);
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static constexpr Angle FromRadians(T ang);
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static constexpr Angle Zero();
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T value;
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};
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@@ -32,22 +32,22 @@ namespace Nz
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return 180;
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}
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template<typename T> static T FromDegrees(T degrees)
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template<typename T> static constexpr T FromDegrees(T degrees)
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{
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return degrees;
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}
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template<typename T> static T FromRadians(T radians)
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template<typename T> static constexpr T FromRadians(T radians)
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{
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return RadianToDegree(radians);
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}
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template<typename T> static T ToDegrees(T degrees)
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template<typename T> static constexpr T ToDegrees(T degrees)
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{
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return degrees;
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}
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template<typename T> static T ToRadians(T degrees)
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template<typename T> static constexpr T ToRadians(T degrees)
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{
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return DegreeToRadian(degrees);
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}
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@@ -71,22 +71,22 @@ namespace Nz
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return T(M_PI);
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}
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template<typename T> static T FromDegrees(T degrees)
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template<typename T> static constexpr T FromDegrees(T degrees)
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{
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return DegreeToRadian(degrees);
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}
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template<typename T> static T FromRadians(T radians)
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template<typename T> static constexpr T FromRadians(T radians)
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{
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return radians;
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}
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template<typename T> static T ToDegrees(T radians)
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template<typename T> static constexpr T ToDegrees(T radians)
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{
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return RadianToDegree(radians);
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}
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template<typename T> static T ToRadians(T radians)
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template<typename T> static constexpr T ToRadians(T radians)
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{
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return radians;
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}
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@@ -141,7 +141,7 @@ namespace Nz
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* \param value value of the angle
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>::Angle(T angle) :
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constexpr Angle<Unit, T>::Angle(T angle) :
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value(angle)
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{
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}
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@@ -152,7 +152,7 @@ namespace Nz
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* \param value Angle object to copy
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>::Angle(const Angle<AngleUnit::Degree, T>& angle) :
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constexpr Angle<Unit, T>::Angle(const Angle<AngleUnit::Degree, T>& angle) :
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value(Detail::AngleUtils<Unit>::FromDegrees(angle.value))
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{
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}
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@@ -163,7 +163,7 @@ namespace Nz
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* \param value Angle object to copy
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>::Angle(const Angle<AngleUnit::Radian, T>& angle) :
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constexpr Angle<Unit, T>::Angle(const Angle<AngleUnit::Radian, T>& angle) :
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value(Detail::AngleUtils<Unit>::FromRadians(angle.value))
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{
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}
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@@ -225,7 +225,7 @@ namespace Nz
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* \brief Changes the angle value to zero
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>& Angle<Unit, T>::MakeZero()
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constexpr Angle<Unit, T>& Angle<Unit, T>::MakeZero()
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{
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value = T(0);
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return *this;
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@@ -239,7 +239,7 @@ namespace Nz
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* For radian angles, local limits are [-M_PI, M_PI]
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*/
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template<AngleUnit Unit, typename T>
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void Angle<Unit, T>::Normalize()
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constexpr Angle<Unit, T>& Angle<Unit, T>::Normalize()
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{
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constexpr T limit = Detail::AngleUtils<Unit>::template GetLimit<T>();
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constexpr T twoLimit = limit * T(2);
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@@ -247,6 +247,8 @@ namespace Nz
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value = std::fmod(value, twoLimit);
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if (value < T(0))
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value += twoLimit;
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return *this;
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}
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/*!
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@@ -255,7 +257,7 @@ namespace Nz
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* \param Angle Angle which will be copied
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>& Angle<Unit, T>::Set(const Angle& ang)
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constexpr Angle<Unit, T>& Angle<Unit, T>::Set(const Angle& ang)
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{
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value = ang.value;
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return *this;
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@@ -270,7 +272,7 @@ namespace Nz
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*/
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template<AngleUnit Unit, typename T>
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template<typename U>
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Angle<Unit, T>& Angle<Unit, T>::Set(const Angle<Unit, U>& ang)
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constexpr Angle<Unit, T>& Angle<Unit, T>::Set(const Angle<Unit, U>& ang)
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{
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value = static_cast<T>(ang.value);
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return *this;
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@@ -281,7 +283,7 @@ namespace Nz
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* \return Equivalent degree angle value
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*/
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template<AngleUnit Unit, typename T>
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T Angle<Unit, T>::ToDegrees() const
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constexpr T Angle<Unit, T>::ToDegrees() const
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{
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return Detail::AngleUtils<Unit>::ToDegrees(value);
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}
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@@ -291,7 +293,7 @@ namespace Nz
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* \return Equivalent degree angle
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*/
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template<AngleUnit Unit, typename T>
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Angle<AngleUnit::Degree, T> Angle<Unit, T>::ToDegreeAngle() const
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constexpr Angle<AngleUnit::Degree, T> Angle<Unit, T>::ToDegreeAngle() const
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{
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return DegreeAngle<T>(ToDegrees());
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}
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@@ -329,7 +331,7 @@ namespace Nz
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* \return Equivalent radian angle value
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*/
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template<AngleUnit Unit, typename T>
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T Angle<Unit, T>::ToRadians() const
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constexpr T Angle<Unit, T>::ToRadians() const
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{
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return Detail::AngleUtils<Unit>::ToRadians(value);
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}
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@@ -339,7 +341,7 @@ namespace Nz
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* \return Equivalent radian angle
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*/
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template<AngleUnit Unit, typename T>
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Angle<AngleUnit::Radian, T> Angle<Unit, T>::ToRadianAngle() const
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constexpr Angle<AngleUnit::Radian, T> Angle<Unit, T>::ToRadianAngle() const
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{
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return RadianAngle<T>(ToRadians());
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}
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@@ -386,7 +388,7 @@ namespace Nz
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* \param other Angle to add
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T> Angle<Unit, T>::operator+(const Angle& other) const
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constexpr Angle<Unit, T> Angle<Unit, T>::operator+(const Angle& other) const
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{
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return Angle(value + other.value);
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}
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@@ -398,7 +400,7 @@ namespace Nz
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* \param other Angle to subtract
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T> Angle<Unit, T>::operator-(const Angle& other) const
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constexpr Angle<Unit, T> Angle<Unit, T>::operator-(const Angle& other) const
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{
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return Angle(value - other.value);
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}
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@@ -410,7 +412,7 @@ namespace Nz
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* \param scalar Multiplier
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T> Angle<Unit, T>::operator*(T scalar) const
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constexpr Angle<Unit, T> Angle<Unit, T>::operator*(T scalar) const
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{
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return Angle(value * scalar);
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}
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@@ -422,7 +424,7 @@ namespace Nz
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* \param divider Divider
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T> Angle<Unit, T>::operator/(T divider) const
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constexpr Angle<Unit, T> Angle<Unit, T>::operator/(T divider) const
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{
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return Angle(value / divider);
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}
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@@ -434,7 +436,7 @@ namespace Nz
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* \param other Angle to add
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>& Angle<Unit, T>::operator+=(const Angle& other)
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constexpr Angle<Unit, T>& Angle<Unit, T>::operator+=(const Angle& other)
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{
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value += other.value;
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return *this;
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@@ -447,7 +449,7 @@ namespace Nz
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* \param other Angle to subtract
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*/
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template<AngleUnit Unit, typename T>
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Angle<Unit, T>& Angle<Unit, T>::operator-=(const Angle& other)
|
||||
constexpr Angle<Unit, T>& Angle<Unit, T>::operator-=(const Angle& other)
|
||||
{
|
||||
value -= other.value;
|
||||
return *this;
|
||||
@@ -460,7 +462,7 @@ namespace Nz
|
||||
* \param scalar Multiplier
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
Angle<Unit, T>& Angle<Unit, T>::operator*=(T scalar)
|
||||
constexpr Angle<Unit, T>& Angle<Unit, T>::operator*=(T scalar)
|
||||
{
|
||||
value *= scalar;
|
||||
return *this;
|
||||
@@ -473,7 +475,7 @@ namespace Nz
|
||||
* \param divider Divider
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
Angle<Unit, T>& Angle<Unit, T>::operator/=(T divider)
|
||||
constexpr Angle<Unit, T>& Angle<Unit, T>::operator/=(T divider)
|
||||
{
|
||||
value /= divider;
|
||||
return *this;
|
||||
@@ -486,7 +488,7 @@ namespace Nz
|
||||
* \param other The other angle to compare to
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
bool Angle<Unit, T>::operator==(const Angle& other) const
|
||||
constexpr bool Angle<Unit, T>::operator==(const Angle& other) const
|
||||
{
|
||||
return NumberEquals(value, other.value, Detail::AngleUtils<Unit>::template GetEpsilon<T>());
|
||||
}
|
||||
@@ -498,7 +500,7 @@ namespace Nz
|
||||
* \param other The other angle to compare to
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
bool Angle<Unit, T>::operator!=(const Angle& other) const
|
||||
constexpr bool Angle<Unit, T>::operator!=(const Angle& other) const
|
||||
{
|
||||
return !NumberEquals(value, other.value, Detail::AngleUtils<Unit>::template GetEpsilon<T>());
|
||||
}
|
||||
@@ -510,7 +512,7 @@ namespace Nz
|
||||
* \param ang Degree angle
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
Angle<Unit, T> Angle<Unit, T>::FromDegrees(T ang)
|
||||
constexpr Angle<Unit, T> Angle<Unit, T>::FromDegrees(T ang)
|
||||
{
|
||||
return Angle(Detail::AngleUtils<Unit>::FromDegrees(ang));
|
||||
}
|
||||
@@ -522,7 +524,7 @@ namespace Nz
|
||||
* \param ang Radian angle
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
Angle<Unit, T> Angle<Unit, T>::FromRadians(T ang)
|
||||
constexpr Angle<Unit, T> Angle<Unit, T>::FromRadians(T ang)
|
||||
{
|
||||
return Angle(Detail::AngleUtils<Unit>::FromRadians(ang));
|
||||
}
|
||||
@@ -532,7 +534,7 @@ namespace Nz
|
||||
* \return Zero angle
|
||||
*/
|
||||
template<AngleUnit Unit, typename T>
|
||||
Angle<Unit, T> Angle<Unit, T>::Zero()
|
||||
constexpr Angle<Unit, T> Angle<Unit, T>::Zero()
|
||||
{
|
||||
Angle angle;
|
||||
angle.MakeZero();
|
||||
|
||||
@@ -35,9 +35,6 @@
|
||||
|
||||
/// Each modification of a paramater of the module needs a recompilation of the unit
|
||||
|
||||
// Define the radian as unit for angles
|
||||
#define NAZARA_MATH_ANGLE_RADIAN 0
|
||||
|
||||
// Optimize automatically the operation on affine matrices (Ask several comparisons to determine if the matrix is affine)
|
||||
#define NAZARA_MATH_MATRIX4_CHECK_AFFINE 0
|
||||
|
||||
|
||||
@@ -21,8 +21,8 @@ namespace Nz
|
||||
{
|
||||
public:
|
||||
EulerAngles() = default;
|
||||
EulerAngles(T P, T Y, T R);
|
||||
EulerAngles(const T angles[3]);
|
||||
EulerAngles(DegreeAngle<T> P, DegreeAngle<T> Y, DegreeAngle<T> R);
|
||||
EulerAngles(const DegreeAngle<T> angles[3]);
|
||||
template<AngleUnit Unit> EulerAngles(const Angle<Unit, T>& angle);
|
||||
//EulerAngles(const Matrix3<T>& mat);
|
||||
EulerAngles(const Quaternion<T>& quat);
|
||||
@@ -34,8 +34,8 @@ namespace Nz
|
||||
|
||||
EulerAngles& Normalize();
|
||||
|
||||
EulerAngles& Set(T P, T Y, T R);
|
||||
EulerAngles& Set(const T angles[3]);
|
||||
EulerAngles& Set(DegreeAngle<T> P, DegreeAngle<T> Y, DegreeAngle<T> R);
|
||||
EulerAngles& Set(const DegreeAngle<T> angles[3]);
|
||||
template<AngleUnit Unit> EulerAngles& Set(const Angle<Unit, T>& angles);
|
||||
//EulerAngles& Set(const Matrix3<T>& mat);
|
||||
EulerAngles& Set(const Quaternion<T>& quat);
|
||||
@@ -61,7 +61,7 @@ namespace Nz
|
||||
|
||||
static EulerAngles Zero();
|
||||
|
||||
T pitch, yaw, roll;
|
||||
DegreeAngle<T> pitch, yaw, roll;
|
||||
};
|
||||
|
||||
using EulerAnglesd = EulerAngles<double>;
|
||||
|
||||
@@ -32,7 +32,7 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
EulerAngles<T>::EulerAngles(T P, T Y, T R)
|
||||
EulerAngles<T>::EulerAngles(DegreeAngle<T> P, DegreeAngle<T> Y, DegreeAngle<T> R)
|
||||
{
|
||||
Set(P, Y, R);
|
||||
}
|
||||
@@ -44,7 +44,7 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
EulerAngles<T>::EulerAngles(const T angles[3])
|
||||
EulerAngles<T>::EulerAngles(const DegreeAngle<T> angles[3])
|
||||
{
|
||||
Set(angles);
|
||||
}
|
||||
@@ -101,17 +101,15 @@ namespace Nz
|
||||
* \brief Normalizes the euler angle
|
||||
* \return A reference to this euler angle with has been normalized
|
||||
*
|
||||
* \remark Normalization depends on NAZARA_MATH_ANGLE_RADIAN, between 0..2*pi
|
||||
*
|
||||
* \see NormalizeAngle
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
EulerAngles<T>& EulerAngles<T>::Normalize()
|
||||
{
|
||||
pitch = NormalizeAngle(pitch);
|
||||
yaw = NormalizeAngle(yaw);
|
||||
roll = NormalizeAngle(roll);
|
||||
pitch.Normalize();
|
||||
yaw.Normalize();
|
||||
roll.Normalize();
|
||||
|
||||
return *this;
|
||||
}
|
||||
@@ -126,7 +124,7 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
EulerAngles<T>& EulerAngles<T>::Set(T P, T Y, T R)
|
||||
EulerAngles<T>& EulerAngles<T>::Set(DegreeAngle<T> P, DegreeAngle<T> Y, DegreeAngle<T> R)
|
||||
{
|
||||
pitch = P;
|
||||
yaw = Y;
|
||||
@@ -143,7 +141,7 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
EulerAngles<T>& EulerAngles<T>::Set(const T angles[3])
|
||||
EulerAngles<T>& EulerAngles<T>::Set(const DegreeAngle<T> angles[3])
|
||||
{
|
||||
pitch = angles[0];
|
||||
yaw = angles[1];
|
||||
@@ -192,9 +190,9 @@ namespace Nz
|
||||
template<typename U>
|
||||
EulerAngles<T>& EulerAngles<T>::Set(const EulerAngles<U>& angles)
|
||||
{
|
||||
pitch = T(angles.pitch);
|
||||
yaw = T(angles.yaw);
|
||||
roll = T(angles.roll);
|
||||
pitch.Set(angles.pitch);
|
||||
yaw.Set(angles.yaw);
|
||||
roll.Set(angles.roll);
|
||||
|
||||
return *this;
|
||||
}
|
||||
@@ -208,13 +206,13 @@ namespace Nz
|
||||
Quaternion<T> EulerAngles<T>::ToQuaternion() const
|
||||
{
|
||||
// XYZ
|
||||
T c1 = std::cos(ToRadians(yaw) / T(2.0));
|
||||
T c2 = std::cos(ToRadians(roll) / T(2.0));
|
||||
T c3 = std::cos(ToRadians(pitch) / T(2.0));
|
||||
T c1 = (yaw / T(2.0)).GetCos();
|
||||
T c2 = (roll / T(2.0)).GetCos();
|
||||
T c3 = (pitch / T(2.0)).GetCos();
|
||||
|
||||
T s1 = std::sin(ToRadians(yaw) / T(2.0));
|
||||
T s2 = std::sin(ToRadians(roll) / T(2.0));
|
||||
T s3 = std::sin(ToRadians(pitch) / T(2.0));
|
||||
T s1 = (yaw / T(2.0)).GetSin();
|
||||
T s2 = (roll / T(2.0)).GetSin();
|
||||
T s3 = (pitch / T(2.0)).GetSin();
|
||||
|
||||
return Quaternion<T>(c1 * c2 * c3 - s1 * s2 * s3,
|
||||
s1 * s2 * c3 + c1 * c2 * s3,
|
||||
@@ -310,9 +308,7 @@ namespace Nz
|
||||
template<typename T>
|
||||
bool EulerAngles<T>::operator==(const EulerAngles& angles) const
|
||||
{
|
||||
return NumberEquals(pitch, angles.pitch) &&
|
||||
NumberEquals(yaw, angles.yaw) &&
|
||||
NumberEquals(roll, angles.roll);
|
||||
return pitch == angles.pitch && yaw == angles.yaw && roll == angles.roll;
|
||||
}
|
||||
|
||||
/*!
|
||||
|
||||
@@ -7,6 +7,7 @@
|
||||
#ifndef NAZARA_FRUSTUM_HPP
|
||||
#define NAZARA_FRUSTUM_HPP
|
||||
|
||||
#include <Nazara/Math/Angle.hpp>
|
||||
#include <Nazara/Math/BoundingVolume.hpp>
|
||||
#include <Nazara/Math/Enums.hpp>
|
||||
#include <Nazara/Math/Matrix4.hpp>
|
||||
@@ -29,7 +30,7 @@ namespace Nz
|
||||
Frustum(const Frustum& frustum) = default;
|
||||
~Frustum() = default;
|
||||
|
||||
Frustum& Build(T angle, T ratio, T zNear, T zFar, const Vector3<T>& eye, const Vector3<T>& target, const Vector3<T>& up = Vector3<T>::Up());
|
||||
Frustum& Build(RadianAngle<T> angle, T ratio, T zNear, T zFar, const Vector3<T>& eye, const Vector3<T>& target, const Vector3<T>& up = Vector3<T>::Up());
|
||||
|
||||
bool Contains(const BoundingVolume<T>& volume) const;
|
||||
bool Contains(const Box<T>& box) const;
|
||||
|
||||
@@ -40,7 +40,7 @@ namespace Nz
|
||||
* \brief Builds the frustum object
|
||||
* \return A reference to this frustum which is the build up camera's field of view
|
||||
*
|
||||
* \param angle Unit depends on NAZARA_MATH_ANGLE_RADIAN
|
||||
* \param angle FOV angle
|
||||
* \param ratio Rendering ratio (typically 16/9 or 4/3)
|
||||
* \param zNear Distance where 'vision' begins
|
||||
* \param zFar Distance where 'vision' ends
|
||||
@@ -50,15 +50,11 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
Frustum<T>& Frustum<T>::Build(T angle, T ratio, T zNear, T zFar, const Vector3<T>& eye, const Vector3<T>& target, const Vector3<T>& up)
|
||||
Frustum<T>& Frustum<T>::Build(RadianAngle<T> angle, T ratio, T zNear, T zFar, const Vector3<T>& eye, const Vector3<T>& target, const Vector3<T>& up)
|
||||
{
|
||||
#if NAZARA_MATH_ANGLE_RADIAN
|
||||
angle /= T(2.0);
|
||||
#else
|
||||
angle = DegreeToRadian(angle / T(2.0));
|
||||
#endif
|
||||
|
||||
T tangent = std::tan(angle);
|
||||
T tangent = angle.GetTan();
|
||||
T nearH = zNear * tangent;
|
||||
T nearW = nearH * ratio;
|
||||
T farH = zFar * tangent;
|
||||
|
||||
@@ -10,6 +10,7 @@
|
||||
///FIXME: Matrices column-major, difficile de bosser avec (Tout passer en row-major et transposer dans les shaders ?)
|
||||
|
||||
#include <Nazara/Core/TypeTag.hpp>
|
||||
#include <Nazara/Math/Angle.hpp>
|
||||
#include <Nazara/Math/Config.hpp>
|
||||
#include <string>
|
||||
|
||||
@@ -72,7 +73,7 @@ namespace Nz
|
||||
Matrix4& MakeIdentity();
|
||||
Matrix4& MakeLookAt(const Vector3<T>& eye, const Vector3<T>& target, const Vector3<T>& up = Vector3<T>::Up());
|
||||
Matrix4& MakeOrtho(T left, T right, T top, T bottom, T zNear = -1.0, T zFar = 1.0);
|
||||
Matrix4& MakePerspective(T angle, T ratio, T zNear, T zFar);
|
||||
Matrix4& MakePerspective(RadianAngle<T> angle, T ratio, T zNear, T zFar);
|
||||
Matrix4& MakeRotation(const Quaternion<T>& rotation);
|
||||
Matrix4& MakeScale(const Vector3<T>& scale);
|
||||
Matrix4& MakeTranslation(const Vector3<T>& translation);
|
||||
@@ -124,7 +125,7 @@ namespace Nz
|
||||
static Matrix4 Identity();
|
||||
static Matrix4 LookAt(const Vector3<T>& eye, const Vector3<T>& target, const Vector3<T>& up = Vector3<T>::Up());
|
||||
static Matrix4 Ortho(T left, T right, T top, T bottom, T zNear = -1.0, T zFar = 1.0);
|
||||
static Matrix4 Perspective(T angle, T ratio, T zNear, T zFar);
|
||||
static Matrix4 Perspective(RadianAngle<T> angle, T ratio, T zNear, T zFar);
|
||||
static Matrix4 Rotate(const Quaternion<T>& rotation);
|
||||
static Matrix4 Scale(const Vector3<T>& scale);
|
||||
static Matrix4 Translate(const Vector3<T>& translation);
|
||||
|
||||
@@ -903,7 +903,7 @@ namespace Nz
|
||||
* \brief Makes the matrix a 'perspective matrix'
|
||||
* \return A reference to this matrix transformed in 'perspective matrix'
|
||||
*
|
||||
* \param angle Unit depends on NAZARA_MATH_ANGLE_RADIAN
|
||||
* \param angle FOV angle
|
||||
* \param ratio Rendering ratio (typically 16/9 or 4/3)
|
||||
* \param zNear Distance where 'vision' begins
|
||||
* \param zFar Distance where 'vision' ends
|
||||
@@ -912,16 +912,12 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
Matrix4<T>& Matrix4<T>::MakePerspective(T angle, T ratio, T zNear, T zFar)
|
||||
Matrix4<T>& Matrix4<T>::MakePerspective(RadianAngle<T> angle, T ratio, T zNear, T zFar)
|
||||
{
|
||||
// http://msdn.microsoft.com/en-us/library/windows/desktop/bb204945(v=vs.85).aspx
|
||||
#if NAZARA_MATH_ANGLE_RADIAN
|
||||
angle /= T(2.0);
|
||||
#else
|
||||
angle = DegreeToRadian(angle / T(2.0));
|
||||
#endif
|
||||
// https://docs.microsoft.com/fr-fr/windows/win32/direct3d10/d3d10-d3dxmatrixperspectivefovrh
|
||||
angle = RadianAngle<T>(M_PI_2) - angle / T(2.0);
|
||||
|
||||
T yScale = std::tan(static_cast<T>(M_PI_2) - angle);
|
||||
T yScale = angle.GetTan();
|
||||
|
||||
Set(yScale / ratio, T(0.0), T(0.0), T(0.0),
|
||||
T(0.0), yScale, T(0.0), T(0.0),
|
||||
@@ -1598,7 +1594,7 @@ namespace Nz
|
||||
* \brief Shorthand for the 'perspective' matrix
|
||||
* \return A Matrix4 which is the 'perspective' matrix
|
||||
*
|
||||
* \param angle Unit depends on NAZARA_MATH_ANGLE_RADIAN
|
||||
* \param angle FOV angle
|
||||
* \param ratio Rendering ratio (typically 16/9 or 4/3)
|
||||
* \param zNear Distance where 'vision' begins
|
||||
* \param zFar Distance where 'vision' ends
|
||||
@@ -1607,7 +1603,7 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
Matrix4<T> Matrix4<T>::Perspective(T angle, T ratio, T zNear, T zFar)
|
||||
Matrix4<T> Matrix4<T>::Perspective(RadianAngle<T> angle, T ratio, T zNear, T zFar)
|
||||
{
|
||||
Matrix4 matrix;
|
||||
matrix.MakePerspective(angle, ratio, zNear, zFar);
|
||||
|
||||
@@ -24,7 +24,7 @@ namespace Nz
|
||||
Quaternion(T W, T X, T Y, T Z);
|
||||
template<AngleUnit Unit> Quaternion(const Angle<Unit, T>& angle);
|
||||
Quaternion(const EulerAngles<T>& angles);
|
||||
Quaternion(T angle, const Vector3<T>& axis);
|
||||
Quaternion(RadianAngle<T> angle, const Vector3<T>& axis);
|
||||
Quaternion(const T quat[4]);
|
||||
//Quaternion(const Matrix3<T>& mat);
|
||||
template<typename U> explicit Quaternion(const Quaternion<U>& quat);
|
||||
@@ -53,7 +53,7 @@ namespace Nz
|
||||
Quaternion& Set(T W, T X, T Y, T Z);
|
||||
template<AngleUnit Unit> Quaternion& Set(const Angle<Unit, T>& angle);
|
||||
Quaternion& Set(const EulerAngles<T>& angles);
|
||||
Quaternion& Set(T angle, const Vector3<T>& normalizedAxis);
|
||||
Quaternion& Set(RadianAngle<T> angle, const Vector3<T>& normalizedAxis);
|
||||
Quaternion& Set(const T quat[4]);
|
||||
//Quaternion& Set(const Matrix3<T>& mat);
|
||||
template<typename U> Quaternion& Set(const Quaternion<U>& quat);
|
||||
|
||||
@@ -66,12 +66,12 @@ namespace Nz
|
||||
/*!
|
||||
* \brief Constructs a Quaternion object from an angle and a direction
|
||||
*
|
||||
* \param angle Unit depends of NAZARA_MATH_ANGLE_RADIAN
|
||||
* \param angle Angle to rotate along the axis
|
||||
* \param axis Vector3 which represents a direction, no need to be normalized
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
Quaternion<T>::Quaternion(T angle, const Vector3<T>& axis)
|
||||
Quaternion<T>::Quaternion(RadianAngle<T> angle, const Vector3<T>& axis)
|
||||
{
|
||||
Set(angle, axis);
|
||||
}
|
||||
@@ -386,27 +386,23 @@ namespace Nz
|
||||
* \brief Sets this quaternion from rotation specified by axis and angle
|
||||
* \return A reference to this quaternion
|
||||
*
|
||||
* \param angle Unit depends of NAZARA_MATH_ANGLE_RADIAN
|
||||
* \param angle Angle to rotate along the axis
|
||||
* \param axis Vector3 which represents a direction, no need to be normalized
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
Quaternion<T>& Quaternion<T>::Set(T angle, const Vector3<T>& axis)
|
||||
Quaternion<T>& Quaternion<T>::Set(RadianAngle<T> angle, const Vector3<T>& axis)
|
||||
{
|
||||
#if !NAZARA_MATH_ANGLE_RADIAN
|
||||
angle = DegreeToRadian(angle);
|
||||
#endif
|
||||
|
||||
angle /= T(2.0);
|
||||
|
||||
Vector3<T> normalizedAxis = axis.GetNormal();
|
||||
|
||||
T sinAngle = std::sin(angle);
|
||||
auto sincos = angle.GetSinCos();
|
||||
|
||||
w = std::cos(angle);
|
||||
x = normalizedAxis.x * sinAngle;
|
||||
y = normalizedAxis.y * sinAngle;
|
||||
z = normalizedAxis.z * sinAngle;
|
||||
w = sincos.second;
|
||||
x = normalizedAxis.x * sincos.first;
|
||||
y = normalizedAxis.y * sincos.first;
|
||||
z = normalizedAxis.z * sincos.first;
|
||||
|
||||
return Normalize();
|
||||
}
|
||||
@@ -488,15 +484,15 @@ namespace Nz
|
||||
T test = x * y + z * w;
|
||||
if (test > T(0.499))
|
||||
// singularity at north pole
|
||||
return EulerAngles<T>(T(0.0), FromRadians(T(2.0) * std::atan2(x, w)), FromDegrees(T(90.0)));
|
||||
return EulerAngles<T>(DegreeAngle<T>(T(0.0)), RadianAngle<T>(T(2.0) * std::atan2(x, w)), DegreeAngle<T>(T(90.0)));
|
||||
|
||||
if (test < T(-0.499))
|
||||
// singularity at south pole
|
||||
return EulerAngles<T>(T(0.0), FromRadians(T(-2.0) * std::atan2(x, w)), FromDegrees(T(-90.0)));
|
||||
return EulerAngles<T>(DegreeAngle<T>(T(0.0)), RadianAngle<T>(T(-2.0) * std::atan2(x, w)), DegreeAngle<T>(T(-90.0)));
|
||||
|
||||
return EulerAngles<T>(FromRadians(std::atan2(T(2.0) * x * w - T(2.0) * y * z, T(1.0) - T(2.0) * x * x - T(2.0) * z * z)),
|
||||
FromRadians(std::atan2(T(2.0) * y * w - T(2.0) * x * z, T(1.0) - T(2.0) * y * y - T(2.0) * z * z)),
|
||||
FromRadians(std::asin(T(2.0) * test)));
|
||||
return EulerAngles<T>(RadianAngle<T>(std::atan2(T(2.0) * x * w - T(2.0) * y * z, T(1.0) - T(2.0) * x * x - T(2.0) * z * z)),
|
||||
RadianAngle<T>(std::atan2(T(2.0) * y * w - T(2.0) * x * z, T(1.0) - T(2.0) * y * y - T(2.0) * z * z)),
|
||||
RadianAngle<T>(std::asin(T(2.0) * test)));
|
||||
}
|
||||
|
||||
/*!
|
||||
|
||||
@@ -9,6 +9,7 @@
|
||||
|
||||
#include <Nazara/Prerequisites.hpp>
|
||||
#include <Nazara/Core/TypeTag.hpp>
|
||||
#include <Nazara/Math/Angle.hpp>
|
||||
#include <functional>
|
||||
#include <string>
|
||||
|
||||
@@ -33,7 +34,7 @@ namespace Nz
|
||||
~Vector2() = default;
|
||||
|
||||
T AbsDotProduct(const Vector2& vec) const;
|
||||
T AngleBetween(const Vector2& vec) const;
|
||||
RadianAngle<T> AngleBetween(const Vector2& vec) const;
|
||||
|
||||
template<typename U = T>
|
||||
U Distance(const Vector2& vec) const;
|
||||
|
||||
@@ -97,7 +97,7 @@ namespace Nz
|
||||
|
||||
/*!
|
||||
* \brief Calculates the angle between two vectors in orthonormal basis
|
||||
* \return The angle unit depends of NAZARA_MATH_ANGLE_RADIAN, you may want to normalize it to the range 0..2*pi with NormalizeAngle
|
||||
* \return The angle
|
||||
*
|
||||
* \param vec The other vector to measure the angle with
|
||||
*
|
||||
@@ -107,9 +107,9 @@ namespace Nz
|
||||
*/
|
||||
|
||||
template<typename T>
|
||||
T Vector2<T>::AngleBetween(const Vector2& vec) const
|
||||
RadianAngle<T> Vector2<T>::AngleBetween(const Vector2& vec) const
|
||||
{
|
||||
return FromRadians(std::atan2(vec.y, vec.x) - std::atan2(y, x));
|
||||
return std::atan2(vec.y, vec.x) - std::atan2(y, x);
|
||||
}
|
||||
|
||||
/*!
|
||||
|
||||
@@ -9,6 +9,7 @@
|
||||
|
||||
#include <Nazara/Prerequisites.hpp>
|
||||
#include <Nazara/Core/TypeTag.hpp>
|
||||
#include <Nazara/Math/Angle.hpp>
|
||||
#include <functional>
|
||||
#include <string>
|
||||
|
||||
@@ -34,7 +35,7 @@ namespace Nz
|
||||
~Vector3() = default;
|
||||
|
||||
T AbsDotProduct(const Vector3& vec) const;
|
||||
T AngleBetween(const Vector3& vec) const;
|
||||
RadianAngle<T> AngleBetween(const Vector3& vec) const;
|
||||
|
||||
Vector3 CrossProduct(const Vector3& vec) const;
|
||||
|
||||
|
||||
@@ -107,7 +107,7 @@ namespace Nz
|
||||
|
||||
/*!
|
||||
* \brief Calculates the angle between two vectors in orthonormal basis
|
||||
* \return The angle unit depends of NAZARA_MATH_ANGLE_RADIAN in the range 0..pi
|
||||
* \return The angle
|
||||
*
|
||||
* \param vec The other vector to measure the angle with
|
||||
*
|
||||
@@ -118,7 +118,7 @@ namespace Nz
|
||||
* \see NormalizeAngle
|
||||
*/
|
||||
template<typename T>
|
||||
T Vector3<T>::AngleBetween(const Vector3& vec) const
|
||||
RadianAngle<T> Vector3<T>::AngleBetween(const Vector3& vec) const
|
||||
{
|
||||
// sqrt(a) * sqrt(b) = sqrt(a*b)
|
||||
T divisor = std::sqrt(GetSquaredLength() * vec.GetSquaredLength());
|
||||
@@ -134,7 +134,7 @@ namespace Nz
|
||||
#endif
|
||||
|
||||
T alpha = DotProduct(vec) / divisor;
|
||||
return FromRadians(std::acos(Clamp(alpha, T(-1.0), T(1.0))));
|
||||
return std::acos(Clamp(alpha, T(-1.0), T(1.0)));
|
||||
}
|
||||
|
||||
/*!
|
||||
|
||||
Reference in New Issue
Block a user