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authorAdrian Kummerlaender2019-06-24 14:43:36 +0200
committerAdrian Kummerlaender2019-06-24 14:43:36 +0200
commit94d3e79a8617f88dc0219cfdeedfa3147833719d (patch)
treec1a6894679563e271f5c6ea7a17fa3462f7212a3 /src/utilities/hyperplane3D.hh
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Initialize at openlb-1-3
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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