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Tip revision: 05a8cda47164acbdb3283f91b880ed51690fc56b authored by Dmitri Naumov on 05 January 2016, 11:16:07 UTC
Update changelog.
Update changelog.
Tip revision: 05a8cda
MathTools.cpp
/**
* \file
* \author Thomas Fischer
* \date 2010-01-13
* \brief Implementation of math helper functions.
*
* \copyright
* Copyright (c) 2012-2015, OpenGeoSys Community (http://www.opengeosys.org)
* Distributed under a Modified BSD License.
* See accompanying file LICENSE.txt or
* http://www.opengeosys.org/project/license
*
*/
#include <cmath>
#include "MathTools.h"
namespace MathLib
{
void crossProd(const double u[3], const double v[3], double r[3])
{
r[0] = u[1] * v[2] - u[2] * v[1];
r[1] = u[2] * v[0] - u[0] * v[2];
r[2] = u[0] * v[1] - u[1] * v[0];
}
double calcProjPntToLineAndDists(const double p[3], const double a[3],
const double b[3], double &lambda, double &d0)
{
// g (lambda) = a + lambda v, v = b-a
double v[3] = {b[0] - a[0], b[1] - a[1], b[2] - a[2]};
// orthogonal projection: (g(lambda)-p) * v = 0 => in order to compute lambda we define a help vector u
double u[3] = {p[0] - a[0], p[1] - a[1], p[2] - a[2]};
lambda = scalarProduct<double,3> (u, v) / scalarProduct<double,3> (v, v);
// compute projected point
double proj_pnt[3];
for (std::size_t k(0); k < 3; k++)
proj_pnt[k] = a[k] + lambda * v[k];
d0 = std::sqrt (sqrDist (proj_pnt, a));
return std::sqrt (sqrDist (p, proj_pnt));
}
double getAngle (const double p0[3], const double p1[3], const double p2[3])
{
const double v0[3] = {p0[0]-p1[0], p0[1]-p1[1], p0[2]-p1[2]};
const double v1[3] = {p2[0]-p1[0], p2[1]-p1[1], p2[2]-p1[2]};
// apply Cauchy Schwarz inequality
return std::acos (scalarProduct<double,3> (v0,v1) / (std::sqrt(scalarProduct<double,3>(v0,v0)) * sqrt(scalarProduct<double,3>(v1,v1))));
}
} // namespace