linear_projection.h

// Description: Projections onto a line
// Documentation: projection.txt

#ifndef PASTELGEOMETRY_LINEAR_PROJECTION_H
#define PASTELGEOMETRY_LINEAR_PROJECTION_H

#include "pastel/sys/tuple.h"
#include "pastel/sys/vector.h"

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

namespace Pastel
{

    //! Orthogonally projects an aligned box to an origin passing line.
    /*!
   box:
   The aligned box to project.

   unitAxis:
   The direction of the line given
   by a normalized direction vector.
   The line is then parametrized by
   L(t) = Vector<Real, N>(0) + t * unitAxis

   returns:
   The interval [tMin, tMax] on line L
   that the aligned box projects to.
   */

    template <typename Real, integer N>
    AlignedBox<Real, 1> projectAxis(
        const AlignedBox<Real, N>& box,
        const Vector<Real, N>& unitAxis);

    //! Orthogonally projects a box to an origin passing line.
    /*!
   box:
   The box to project.

   unitAxis:
   The direction of the line given
   by a normalized direction vector.
   The line is then parametrized by
   L(t) = Vector<Real, N>(0) + t * unitAxis

   returns:
   The interval [tMin, tMax] on line L
   that the box projects to.
   */

    template <typename Real, integer N>
    AlignedBox<Real, 1> projectAxis(
        const Box<Real, N>& box,
        const Vector<Real, N>& unitAxis);

    //! Orthogonally projects a sphere to an origin passing line.
    /*!
   sphere:
   The sphere to project.

   unitAxis:
   The direction of the line given
   by a normalized direction vector.
   The line is then parametrized by
   L(t) = Vector<Real, N>(0) + t * unitAxis

   returns:
   The interval [tMin, tMax] on line L
   that the sphere projects to.
   */

    template <typename Real, integer N>
    AlignedBox<Real, 1> projectAxis(
        const Sphere<Real, N>& sphere,
        const Vector<Real, N>& unitAxis);

    //! Orthogonally projects a line segment to an origin passing line.
    /*!
   segment:
   The line segment to project.

   unitAxis:
   The direction of the line given
   by a normalized direction vector.
   The line is then parametrized by
   L(t) = Vector<Real, N>(0) + t * unitAxis

   returns:
   The interval [tMin, tMax] on line L
   that the line segment projects to.
   */

    template <typename Real, integer N>
    AlignedBox<Real, 1> projectAxis(
        const Segment<Real, N>& segment,
        const Vector<Real, N>& unitAxis);

    //! Orthogonally projects a triangle to an origin passing line.
    /*!
   triangle:
   The triangle segment to project.

   unitAxis:
   The direction of the line given
   by a normalized direction vector.
   The line is then parametrized by
   L(t) = Vector<Real, N>(0) + t * unitAxis

   returns:
   The interval [tMin, tMax] on line L
   that the line segment projects to.
   */

    template <typename Real, integer N>
    AlignedBox<Real, 1> projectAxis(
        const PASTEL_TRIANGLE(Real, N)& triangle,
        const Vector<Real, N>& unitAxis);

}

#include "pastel/geometry/shape/linear_projection.hpp"

#endif