Math/Trigonometry.hpp

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//
// Thor C++ Library
// Copyright (c) 2011 Jan Haller
// 
// This software is provided 'as-is', without any express or implied
// warranty. In no event will the authors be held liable for any damages
// arising from the use of this software.
// 
// Permission is granted to anyone to use this software for any purpose,
// 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 <cmath>


namespace thor
{


template <typename T>
struct TrigonometricTraits;

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 3.14159265f;                       }
    static Type RadToDeg(Type rad)              { return 180 / 3.14159265f * rad;           }
    static Type DegToRad(Type deg)              { return 3.14159265f / 180 * deg;           }
};

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 3.14159265;                        }
    static Type RadToDeg(Type rad)              { return 180 / 3.14159265 * rad;            }
    static Type DegToRad(Type deg)              { return 3.14159265 / 180 * deg;            }
};

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 3.14159265l;                       }
    static Type RadToDeg(Type rad)              { return 180 / 3.14159265l * rad;           }
    static Type DegToRad(Type deg)              { return 3.14159265l / 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 Pi;


} // namespace thor

#endif // THOR_TRIGONOMETRY_HPP