Trigonometry.hpp

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//
// Thor C++ Library
// Copyright (c) 2011-2016 Jan Haller
//
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// warranty. In no event will the authors be held liable for any damages
// arising from the use of this software.
//
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// including commercial applications, and to alter it and redistribute it
// freely, subject to the following restrictions:
//
// 1. The origin of this software must not be misrepresented; you must not
//    claim that you wrote the original software. If you use this software
//    in a product, an acknowledgment in the product documentation would be
//    appreciated but is not required.
//
// 2. Altered source versions must be plainly marked as such, and must not be
//    misrepresented as being the original software.
//
// 3. This notice may not be removed or altered from any source distribution.
//


#ifndef THOR_TRIGONOMETRY_HPP
#define THOR_TRIGONOMETRY_HPP

#include <Thor/Config.hpp>

#include <cmath>


namespace thor
{


template <typename T>
struct TrigonometricTraits
{
};

// Trigonometric traits: Specialization for float
template <>
struct TrigonometricTraits<float>
{
    typedef float Type;

    static Type sin(Type deg)                   { return std::sin(degToRad(deg));           }
    static Type cos(Type deg)                   { return std::cos(degToRad(deg));           }
    static Type tan(Type deg)                   { return std::tan(degToRad(deg));           }
    static Type arcSin(Type value)              { return radToDeg(std::asin(value));        }
    static Type arcCos(Type value)              { return radToDeg(std::acos(value));        }
    static Type arcTan2(Type valY, Type valX)   { return radToDeg(std::atan2(valY, valX));  }
    static Type sqrt(Type value)                { return std::sqrt(value);                  }

    static Type pi()                            { return 3.141592653589793238462643383f;    }
    static Type radToDeg(Type rad)              { return 180 / pi() * rad;                  }
    static Type degToRad(Type deg)              { return pi() / 180 * deg;                  }
};

// Trigonometric traits: Specialization for double
template <>
struct TrigonometricTraits<double>
{
    typedef double Type;

    static Type sin(Type deg)                   { return std::sin(degToRad(deg));           }
    static Type cos(Type deg)                   { return std::cos(degToRad(deg));           }
    static Type tan(Type deg)                   { return std::tan(degToRad(deg));           }
    static Type arcSin(Type value)              { return radToDeg(std::asin(value));        }
    static Type arcCos(Type value)              { return radToDeg(std::acos(value));        }
    static Type arcTan2(Type valY, Type valX)   { return radToDeg(std::atan2(valY, valX));  }
    static Type sqrt(Type value)                { return std::sqrt(value);                  }

    static Type pi()                            { return 3.141592653589793238462643383;     }
    static Type radToDeg(Type rad)              { return 180 / pi() * rad;                  }
    static Type degToRad(Type deg)              { return pi() / 180 * deg;                  }
};

// Trigonometric traits: Specialization for long double
template <>
struct TrigonometricTraits<long double>
{
    typedef long double Type;

    static Type sin(Type deg)                   { return std::sin(degToRad(deg));           }
    static Type cos(Type deg)                   { return std::cos(degToRad(deg));           }
    static Type tan(Type deg)                   { return std::tan(degToRad(deg));           }
    static Type arcSin(Type value)              { return radToDeg(std::asin(value));        }
    static Type arcCos(Type value)              { return radToDeg(std::acos(value));        }
    static Type arcTan2(Type valY, Type valX)   { return radToDeg(std::atan2(valY, valX));  }
    static Type sqrt(Type value)                { return std::sqrt(value);                  }

    static Type pi()                            { return 3.141592653589793238462643383l;    }
    static Type radToDeg(Type rad)              { return 180 / pi() * rad;                  }
    static Type degToRad(Type deg)              { return pi() / 180 * deg;                  }
};

// ---------------------------------------------------------------------------------------------------------------------------


template <typename T>
T toDegree(T radian)
{
    return TrigonometricTraits<T>::radToDeg(radian);
}

template <typename T>
T toRadian(T degree)
{
    return TrigonometricTraits<T>::degToRad(degree);
}

extern const float THOR_API Pi;


} // namespace thor

#endif // THOR_TRIGONOMETRY_HPP