angles.hpp

#ifndef PASTELSYS_ANGLES_HPP
#define PASTELSYS_ANGLES_HPP

#include "pastel/sys/math/angles.h"
#include "pastel/sys/math/constants.h"

namespace Pastel
{

    template <typename Real>
    Real radiansToDegrees(
        const NoDeduction<Real>& radians)
    {
        return (radians / constantPi<Real>()) * 180;
    }

    template <typename Real>
    Real degreesToRadians(
        const NoDeduction<Real>& degrees)
    {
        return (degrees / 180) * constantPi<Real>();
    }

    template <typename Real>
    Real positiveDegrees(
        const NoDeduction<Real>& degrees)
    {
        if (negative(degrees))
        {
            return degrees + 360;
        }

        return degrees;
    }

    template <typename Real>
    Real positiveRadians(
        const NoDeduction<Real>& radians)
    {
        if (negative(radians))
        {
            return radians + 2 * constantPi<Real>();
        }

        return radians;
    }

    template <typename Real>
    Real ccwAngle(const Vector<Real, 2>& to)
    {
        if (allEqual(to, 0))
        {
            return 0;
        }

        return positiveRadians<Real>(std::atan2(to.y(), to.x()));
    }

    template <typename Real>
    Real ccwAngle(
        const Vector<Real, 2>& from,
        const Vector<Real, 2>& to)
    {
        Real deltaAngle = Pastel::ccwAngle(to) - Pastel::ccwAngle(from);
        if (deltaAngle >= 0)
        {
            return deltaAngle;
        }

        return deltaAngle + 2 * constantPi<Real>();
    }

}

#endif