distance_alignedbox_alignedbox.h

// Description: Distance between two aligned boxes

#ifndef PASTELGEOMETRY_DISTANCE_ALIGNEDBOX_ALIGNEDBOX_H
#define PASTELGEOMETRY_DISTANCE_ALIGNEDBOX_ALIGNEDBOX_H

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

#include "pastel/math/normbijection/euclidean_normbijection.h"

namespace Pastel
{

    //! Computes the distance between two aligned boxes.
    /*!
   This is a convenience function which returns
   normBijection.toNorm(
       distance2(aBox, bBox, normBijection)).
   */
    template <
        typename Real, integer N, 
        typename NormBijection = Euclidean_NormBijection<Real>>
    Real distance(
        const AlignedBox<Real, N>& aBox,
        const AlignedBox<Real, N>& bBox,
        const NormBijection& normBijection = NormBijection());

    //! Computes the norm-bijection distance between two aligned boxes.
    /*!
   Preconditions:
   aBox.n() == bBox.n()

   Time complexity: O(aBox.n())

   The distance is computed assuming that the boxes are solid. 
   */
    template <
        typename Real, integer N, 
        typename NormBijection = Euclidean_NormBijection<Real>>
    Real distance2(
        const AlignedBox<Real, N>& aBox,
        const AlignedBox<Real, N>& bBox,
        const NormBijection& normBijection = NormBijection());

    //! Computes the farthest distance between two aligned boxes.
    /*!
   This is a convenience function which returns
   normBijection.toNorm(
       farthestDistance2(aBox, bBox, normBijection)).
   */
    template <
        typename Real, integer N, 
        typename NormBijection = Euclidean_NormBijection<Real>>
    Real farthestDistance(
        const AlignedBox<Real, N>& aBox,
        const AlignedBox<Real, N>& bBox,
        const NormBijection& normBijection = NormBijection());

    //! Computes the farthest norm-bijection distance between two aligned boxes.
    /*!
   Preconditions:
   aBox.n() == bBox.n()

   Time complexity: O(aBox.n())

   The distance is computed assuming that the boxes are solid. 
   */
    template <
        typename Real, integer N, 
        typename NormBijection = Euclidean_NormBijection<Real>>
    Real farthestDistance2(
        const AlignedBox<Real, N>& aBox,
        const AlignedBox<Real, N>& bBox,
        const NormBijection& normBijection = NormBijection());

}

#include "pastel/geometry/distance/distance_alignedbox_alignedbox.hpp"

#endif