Revision 8fe86dec6abc3b3955f02910d2ce02b77b952d3b authored by Wenqing Wang on 15 April 2020, 10:08:30 UTC, committed by Wenqing Wang on 16 February 2021, 12:16:27 UTC
1 parent 283510d
MathTools.h
/**
* \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 <Eigen/Eigen>
#include <cstddef>
#ifdef _OPENMP
#include <omp.h>
#endif
namespace MathLib
{
template <typename T, std::size_t DIM> class TemplatePoint;
using Point3d = MathLib::TemplatePoint<double, 3>;
/**
* standard inner product in R^N
* \param v0 array of type T representing the vector
* \param v1 array of type T representing the vector
* */
template<typename T, int N> inline
T scalarProduct(T const * const v0, T const * const v1)
{
T res (v0[0] * v1[0]);
#pragma omp parallel for reduction (+:res)
for (int k = 1; k < N; k++)
{
res += v0[k] * v1[k];
}
return res;
}
template <> inline
double scalarProduct<double,3>(double const * const v0, double const * const v1)
{
double res (v0[0] * v1[0]);
for (std::size_t k(1); k < 3; k++)
{
res += v0[k] * v1[k];
}
return res;
}
template <typename T>
inline T scalarProduct(T const* const v0, T const* const v1, int const n)
{
T res (v0[0] * v1[0]);
#pragma omp parallel for reduction (+:res)
for (int k = 1; k < n; k++)
{
res += v0[k] * v1[k];
}
return res;
}
/**
* 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
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