sphere_area.h

// Description: Area of a sphere
// Documentation: area.txt

#ifndef PASTELGEOMETRY_SPHERE_AREA_H
#define PASTELGEOMETRY_SPHERE_AREA_H

#include "pastel/geometry/shape/sphere.h"

namespace Pastel
{

    //! The natural logarithm of the area of the Euclidean unit sphere.
    /*!
   Preconditions:
   n > 0

   n:
   The dimension of the ambient space.
   */
    template <typename Real>
    Real lnAreaUnitSphere(integer n);

    //! The area of the Euclidean unit sphere.
    /*!
   Preconditions:
   n > 0

   n:
   The dimension of the ambient space.
   */
    template <typename Real>
    Real areaUnitSphere(integer n);

    //! The area of the Euclidean unit sphere.
    template <typename Real, integer N>
    Real area(const Sphere<Real, N>& sphere);

}

#include "pastel/geometry/area/sphere_area.hpp"

#endif