// Copyright (c) FIRST and other WPILib contributors. // Open Source Software; you can modify and/or share it under the terms of // the WPILib BSD license file in the root directory of this project. #pragma once #include #include #include #include #include #include "units/angle.h" #include "wpimath/MathShared.h" namespace frc { /** * A rotation in a 2D coordinate frame represented by a point on the unit circle * (cosine and sine). * * The angle is continuous, that is if a Rotation2d is constructed with 361 * degrees, it will return 361 degrees. This allows algorithms that wouldn't * want to see a discontinuity in the rotations as it sweeps past from 360 to 0 * on the second time around. */ class WPILIB_DLLEXPORT Rotation2d { public: /** * Constructs a Rotation2d with a default angle of 0 degrees. */ constexpr Rotation2d() = default; /** * Constructs a Rotation2d with the given angle. * * @param value The value of the angle. */ constexpr Rotation2d(units::angle_unit auto value) // NOLINT : m_value{value}, m_cos{gcem::cos(value.template convert().value())}, m_sin{gcem::sin(value.template convert().value())} {} /** * Constructs a Rotation2d with the given x and y (cosine and sine) * components. The x and y don't have to be normalized. * * @param x The x component or cosine of the rotation. * @param y The y component or sine of the rotation. */ constexpr Rotation2d(double x, double y) { double magnitude = gcem::hypot(x, y); if (magnitude > 1e-6) { m_sin = y / magnitude; m_cos = x / magnitude; } else { m_sin = 0.0; m_cos = 1.0; if (!std::is_constant_evaluated()) { wpi::math::MathSharedStore::ReportError( "x and y components of Rotation2d are zero\n{}", wpi::GetStackTrace(1)); } } m_value = units::radian_t{gcem::atan2(m_sin, m_cos)}; } /** * Adds two rotations together, with the result being bounded between -π and * π. * * For example, Rotation2d{30_deg} + Rotation2d{60_deg} equals * Rotation2d{units::radian_t{std::numbers::pi/2.0}} * * @param other The rotation to add. * * @return The sum of the two rotations. */ constexpr Rotation2d operator+(const Rotation2d& other) const { return RotateBy(other); } /** * Subtracts the new rotation from the current rotation and returns the new * rotation. * * For example, Rotation2d{10_deg} - Rotation2d{100_deg} equals * Rotation2d{units::radian_t{-std::numbers::pi/2.0}} * * @param other The rotation to subtract. * * @return The difference between the two rotations. */ constexpr Rotation2d operator-(const Rotation2d& other) const { return *this + -other; } /** * Takes the inverse of the current rotation. This is simply the negative of * the current angular value. * * @return The inverse of the current rotation. */ constexpr Rotation2d operator-() const { return Rotation2d{-m_value}; } /** * Multiplies the current rotation by a scalar. * * @param scalar The scalar. * * @return The new scaled Rotation2d. */ constexpr Rotation2d operator*(double scalar) const { return Rotation2d{m_value * scalar}; } /** * Divides the current rotation by a scalar. * * @param scalar The scalar. * * @return The new scaled Rotation2d. */ constexpr Rotation2d operator/(double scalar) const { return *this * (1.0 / scalar); } /** * Checks equality between this Rotation2d and another object. * * @param other The other object. * @return Whether the two objects are equal. */ constexpr bool operator==(const Rotation2d& other) const { return gcem::hypot(Cos() - other.Cos(), Sin() - other.Sin()) < 1E-9; } /** * Adds the new rotation to the current rotation using a rotation matrix. * *
   * [cos_new]   [other.cos, -other.sin][cos]
   * [sin_new] = [other.sin,  other.cos][sin]
   * value_new = std::atan2(sin_new, cos_new)
   * 
* * @param other The rotation to rotate by. * * @return The new rotated Rotation2d. */ constexpr Rotation2d RotateBy(const Rotation2d& other) const { return {Cos() * other.Cos() - Sin() * other.Sin(), Cos() * other.Sin() + Sin() * other.Cos()}; } /** * Returns the radian value of the rotation. * * @return The radian value of the rotation. * @see AngleModulus to constrain the angle within (-π, π] */ constexpr units::radian_t Radians() const { return m_value; } /** * Returns the degree value of the rotation. * * @return The degree value of the rotation. * @see InputModulus to constrain the angle within (-180, 180] */ constexpr units::degree_t Degrees() const { return m_value; } /** * Returns the cosine of the rotation. * * @return The cosine of the rotation. */ constexpr double Cos() const { return m_cos; } /** * Returns the sine of the rotation. * * @return The sine of the rotation. */ constexpr double Sin() const { return m_sin; } /** * Returns the tangent of the rotation. * * @return The tangent of the rotation. */ constexpr double Tan() const { return Sin() / Cos(); } private: units::radian_t m_value = 0_rad; double m_cos = 1; double m_sin = 0; }; WPILIB_DLLEXPORT void to_json(wpi::json& json, const Rotation2d& rotation); WPILIB_DLLEXPORT void from_json(const wpi::json& json, Rotation2d& rotation); } // namespace frc #include "frc/geometry/proto/Rotation2dProto.h" #include "frc/geometry/struct/Rotation2dStruct.h"