/**
* \file
* \copyright
* Copyright (c) 2012-2021, OpenGeoSys Community (http://www.opengeosys.org)
* Distributed under a Modified BSD License.
* See accompanying file LICENSE.txt or
* http://www.opengeosys.org/project/license
*/
#pragma once
#include <cstddef>
namespace MathLib
{
template <typename T, std::size_t DIM> class TemplatePoint;
using Point3d = MathLib::TemplatePoint<double, 3>;
/**
* calcProjPntToLineAndDists computes the orthogonal projection
* of a point p to the line described by the points a and b,
* \f$g(\lambda) = a + \lambda (b - a)\f$,
* the distance between p and the projected point
* and the distances between the projected point and the end
* points pa, pb of the line
* \param pp the (mesh) point
* \param pa first point of line
* \param pb second point of line
* \param lambda the projected point described by the line equation above
* \param d0 distance to the line point a
* \returns the distance between pp and the orthogonal projection of pp
*/
double calcProjPntToLineAndDists(MathLib::Point3d const& pp,
MathLib::Point3d const& pa,
MathLib::Point3d const& pb, double& lambda,
double& d0);
/**
* Let \f$p_0, p_1, p_2 \in R^3\f$. The function getAngle
* computes the angle between the edges \f$(p_0,p_1)\f$ and \f$(p_1,p_2)\f$
* @param p0 start point of edge 0
* @param p1 end point of edge 0 and start point of edge 1
* @param p2 end point of edge 1
* @return the angle between the edges
*/
double getAngle(Point3d const& p0, Point3d const& p1, Point3d const& p2);
} // namespace MathLib