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/* This file is part of the OpenLB library
*
* Copyright (C) 2017 Adrian Kummerlaender
* E-mail contact: info@openlb.net
* The most recent release of OpenLB can be downloaded at
* <http://www.openlb.net/>
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public
* License along with this program; if not, write to the Free
* Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
* Boston, MA 02110-1301, USA.
*/
#ifndef HYPERPLANE_3D_HH
#define HYPERPLANE_3D_HH
#include "hyperplane3D.h"
#include "core/olbDebug.h"
namespace olb {
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::spannedBy(const Vector<T,3>& a, const Vector<T,3>& b)
{
u = a;
v = b;
normal = crossProduct3D(a,b);
normal.normalize();
OLB_POSTCONDITION(util::nearZero(util::dotProduct3D(u,v)));
OLB_POSTCONDITION(util::nearZero(util::dotProduct3D(u,normal)));
OLB_POSTCONDITION(util::nearZero(util::dotProduct3D(v,normal)));
return *this;
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::normalTo(const Vector<T,3>& n)
{
normal = n;
if ( util::nearZero(normal[0]*normal[1]*normal[2]) ) {
if ( util::nearZero(normal[0]) ) {
u = {T(1), T(), T()};
}
else if ( util::nearZero(normal[1]) ) {
u = {T(), T(1), T()};
}
else if ( util::nearZero(normal[2]) ) {
u = {T(), T(), T(1)};
}
}
else {
u = {normal[2], T(), -normal[0]};
}
v = crossProduct3D(normal,u);
u.normalize();
v.normalize();
normal.normalize();
OLB_POSTCONDITION(util::nearZero(util::dotProduct3D(u,v)));
OLB_POSTCONDITION(util::nearZero(util::dotProduct3D(u,normal)));
OLB_POSTCONDITION(util::nearZero(util::dotProduct3D(v,normal)));
return *this;
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::originAt(const Vector<T,3>& o)
{
origin[0] = o[0] - 2*std::numeric_limits<T>::epsilon()*fabs(o[0]);
origin[1] = o[1] - 2*std::numeric_limits<T>::epsilon()*fabs(o[1]);
origin[2] = o[2] - 2*std::numeric_limits<T>::epsilon()*fabs(o[2]);
return *this;
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::centeredIn(const Cuboid3D<T>& cuboid)
{
const Vector<T,3>& cuboidOrigin = cuboid.getOrigin();
const Vector<int,3>& extend = cuboid.getExtend();
const T deltaR = cuboid.getDeltaR();
origin[0] = (cuboidOrigin[0] + 0.5 * deltaR * extend[0]);
origin[1] = (cuboidOrigin[1] + 0.5 * deltaR * extend[1]);
origin[2] = (cuboidOrigin[2] + 0.5 * deltaR * extend[2]);
origin[0] -= 2*std::numeric_limits<T>::epsilon()*fabs(origin[0]);
origin[1] -= 2*std::numeric_limits<T>::epsilon()*fabs(origin[1]);
origin[2] -= 2*std::numeric_limits<T>::epsilon()*fabs(origin[2]);
return *this;
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::applyMatrixToSpan(
const Vector<T,3>& row0,
const Vector<T,3>& row1,
const Vector<T,3>& row2)
{
const auto u_prime = u;
const auto v_prime = v;
u[0] = row0 * u_prime;
u[1] = row1 * u_prime;
u[2] = row2 * u_prime;
v[0] = row0 * v_prime;
v[1] = row1 * v_prime;
v[2] = row2 * v_prime;
return *this;
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::rotateSpanAroundX(T r)
{
return applyMatrixToSpan(
{1, 0, 0 },
{0, cos(r), -sin(r)},
{0, sin(r), cos(r)}
);
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::rotateSpanAroundY(T r)
{
return applyMatrixToSpan(
{ cos(r), 0, sin(r)},
{ 0, 1, 0 },
{-sin(r), 0, cos(r)}
);
}
template <typename T>
Hyperplane3D<T>& Hyperplane3D<T>::rotateSpanAroundZ(T r)
{
return applyMatrixToSpan(
{cos(r), -sin(r), 0},
{sin(r), cos(r), 0},
{0, 0, 1}
);
}
template <typename T>
bool Hyperplane3D<T>::isXYPlane() const
{
return util::nearZero(util::dotProduct3D(normal, {1,0,0})) &&
util::nearZero(util::dotProduct3D(normal, {0,1,0}));
}
template <typename T>
bool Hyperplane3D<T>::isXZPlane() const
{
return util::nearZero(util::dotProduct3D(normal, {1,0,0})) &&
util::nearZero(util::dotProduct3D(normal, {0,0,1}));
}
template <typename T>
bool Hyperplane3D<T>::isYZPlane() const
{
return util::nearZero(util::dotProduct3D(normal, {0,1,0})) &&
util::nearZero(util::dotProduct3D(normal, {0,0,1}));
}
}
#endif
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