barycentric.h

// Description: Barycentric coordinates
// Documentation: common.txt

#ifndef PASTELGEOMETRY_BARYCENTRIC_H
#define PASTELGEOMETRY_BARYCENTRIC_H

#include "pastel/sys/vector.h"

namespace Pastel
{

    //! Computes the barycentric coordinates of a point in a simplex.
    template <typename Real, integer N, typename Vector_Range>
    Vector<Real, ModifyN<N, N + 1>::Result> barycentric(
        const Vector<Real, N>& point,
        Vector_Range simplexRange);

    //! Computes the barycentric coordinates of a point in a standard simplex.
    /*!
   The standard simplex is given by the points
   {(0, 0, ..., 0)} union {e_1, ..., e_n}.
   where e_i = {0, ..., 0, 1, 0, ..., 0)
   where the 1 is at the i:th position.
   */

    template <typename Real, integer N>
    Vector<Real, ModifyN<N, N + 1>::Result> barycentric(
        const Vector<Real, N>& point);

}

#include "pastel/geometry/barycentric.hpp"

#endif