Initialize at openlb-1-3

42 files changed, 5330 insertions, 0 deletions

diff --git a/src/functors/analytical/indicator/MakeHeader b/src/functors/analytical/indicator/MakeHeader
new file mode 100644
index 0000000..66496d7
--- /dev/null
+++ b/src/functors/analytical/indicator/MakeHeader
@@ -0,0 +1,37 @@
+#  This file is part of the OpenLB library

+#

+#  Copyright (C) 2007 Mathias Krause

+#  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.

+

+

+generic        :=

+

+precompiled    := indicatorBaseF2D \

+                  indicatorBaseF3D \

+                  indicatorF2D \

+                  indicatorF3D \

+                  indicCalc2D \

+                  indicCalc3D \

+                  smoothIndicatorF2D \

+                  smoothIndicatorF3D \

+                  smoothIndicatorBaseF2D \

+                  smoothIndicatorBaseF3D \

+                  smoothIndicatorCalcF2D \

+                  smoothIndicatorCalcF3D

diff --git a/src/functors/analytical/indicator/indicCalc2D.cpp b/src/functors/analytical/indicator/indicCalc2D.cpp
new file mode 100644
index 0000000..ba54bde
--- /dev/null
+++ b/src/functors/analytical/indicator/indicCalc2D.cpp
@@ -0,0 +1,56 @@
+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2014-2016 Mathias J. Krause, Cyril Masquelier,
+ *  Benjamin Förster, Albert Mink
+ *  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.
+*/
+
+#include "indicCalc2D.h"
+#include "indicCalc2D.hh"
+
+
+namespace olb {
+
+// arithmetic helper class for Indical 1d functors
+template class IndicCalc1D<double>;
+template class IndicPlus1D<double>;
+template class IndicMinus1D<double>;
+template class IndicMultiplication1D<double>;
+
+// arithmetic helper class for Indical 2d functors
+template class IndicCalc2D<double,util::plus>;
+template class IndicCalc2D<double,util::minus>;
+template class IndicCalc2D<double,util::multiplies>;
+
+template std::shared_ptr<IndicatorF2D<double>> operator+(std::shared_ptr<IndicatorF2D<double>> lhs,
+    std::shared_ptr<IndicatorF2D<double>> rhs);
+template std::shared_ptr<IndicatorF2D<double>> operator-(std::shared_ptr<IndicatorF2D<double>> lhs,
+    std::shared_ptr<IndicatorF2D<double>> rhs);
+template std::shared_ptr<IndicatorF2D<double>> operator*(std::shared_ptr<IndicatorF2D<double>> lhs,
+    std::shared_ptr<IndicatorF2D<double>> rhs);
+
+template std::shared_ptr<IndicatorF2D<double>> operator+(IndicatorIdentity2D<double> & lhs,
+    std::shared_ptr<IndicatorF2D<double>>);
+template std::shared_ptr<IndicatorF2D<double>> operator-(IndicatorIdentity2D<double> & lhs,
+    std::shared_ptr<IndicatorF2D<double>>);
+template std::shared_ptr<IndicatorF2D<double>> operator*(IndicatorIdentity2D<double> & lhs,
+    std::shared_ptr<IndicatorF2D<double>>);
+
+}
diff --git a/src/functors/analytical/indicator/indicCalc2D.h b/src/functors/analytical/indicator/indicCalc2D.h
new file mode 100644
index 0000000..a5f6449
--- /dev/null
+++ b/src/functors/analytical/indicator/indicCalc2D.h
@@ -0,0 +1,127 @@
+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2014-2016 Mathias J. Krause, Cyril Masquelier,
+ *  Benjamin Förster, Albert Mink
+ *  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 INDIC_CALC_2D_H
+#define INDIC_CALC_2D_H
+
+#include "indicatorBaseF2D.h"
+#include "utilities/arithmetic.h"
+
+namespace olb {
+
+
+/*
+ *  arithmetic helper classes for IndicatorF1D, IndicatorF2D, smoothIndicator2D
+ *  UNION         +
+ *  WITHOUT       -
+ *  INTERSECTION  *
+*/
+
+//////////////////////////////// IndicCalc1D ////////////////////////////////
+/// arithmetic helper class for Indicator 1d functors
+template <typename S>
+class IndicCalc1D : public IndicatorF1D<S> {
+protected:
+  IndicatorF1D<S>& _f;
+  IndicatorF1D<S>& _g;
+public:
+  // set image/target dimensions of IndicCalc1D as well
+  IndicCalc1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g);
+};
+
+/// addition functor acts as union
+template <typename S>
+class IndicPlus1D : public IndicCalc1D<S> {
+public:
+  IndicPlus1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g);
+  bool operator() (bool output[], const S input[]) override;
+};
+
+/// subtraction functor acts as without
+template <typename S>
+class IndicMinus1D : public IndicCalc1D<S> {
+public:
+  IndicMinus1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g);
+  bool operator() (bool output[], const S input[]) override;
+};
+
+/// multiplication functor acts as intersection
+template <typename S>
+class IndicMultiplication1D : public IndicCalc1D<S> {
+public:
+  IndicMultiplication1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g);
+  bool operator() (bool output[], const S input[]) override;
+};
+
+
+
+//////////////////////////////// indicCalc2D ////////////////////////////////
+/// arithmetic helper class for Indicator 2D functors
+template <typename S, template<typename U> class F>
+class IndicCalc2D : public IndicatorF2D<S> {
+protected:
+  std::shared_ptr<IndicatorF2D<S>> _f;
+  std::shared_ptr<IndicatorF2D<S>> _g;
+public:
+  IndicCalc2D( std::shared_ptr<IndicatorF2D<S>> f, std::shared_ptr<IndicatorF2D<S>> g );
+
+  bool operator() (bool output[], const S input[2]) override;
+};
+
+/// Addition functor (W==bool: Union)
+template <typename S>
+using IndicPlus2D = IndicCalc2D<S,util::plus>;
+template <typename S>
+using IndicMinus2D = IndicCalc2D<S,util::minus>;
+template <typename S>
+using IndicMultiplication2D = IndicCalc2D<S,util::multiplies>;
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF2D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF2D<S>> operator+(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF2D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF2D<S>> operator-(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF2D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF2D<S>> operator*(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity2D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF2D<S>> operator+(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity2D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF2D<S>> operator-(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity2D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF2D<S>> operator*(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+
+
+} // end namespace olb
+
+#endif
diff --git a/src/functors/analytical/indicator/indicCalc2D.hh b/src/functors/analytical/indicator/indicCalc2D.hh
new file mode 100644
index 0000000..f325bc7
--- /dev/null
+++ b/src/functors/analytical/indicator/indicCalc2D.hh
@@ -0,0 +1,202 @@
+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2014-2016 Mathias J. Krause, Cyril Masquelier,
+ *  Benjamin Förster, Albert Mink
+ *  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 INDIC_CALC_2D_HH
+#define INDIC_CALC_2D_HH
+
+#include "indicCalc2D.h"
+
+namespace olb {
+
+
+//////////////////////////////// IndicCalc1D ////////////////////////////////
+template <typename S>
+IndicCalc1D<S>::IndicCalc1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g)
+  : _f(f), _g(g)
+{
+  this->_myMin[0] = std::min(f.getMin()[0], g.getMin()[0]);
+  this->_myMax[0] = std::max(f.getMax()[0], g.getMax()[0]);
+  std::swap(f._ptrCalcC, this->_ptrCalcC);
+}
+
+
+template <typename S>
+IndicPlus1D<S>::IndicPlus1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g)
+  : IndicCalc1D<S>(f, g)
+{}
+
+// returns 1 if( f==1 || g==1 ) UNION
+template <typename S>
+bool IndicPlus1D<S>::operator() (bool output[], const S input[])
+{
+  this->_f(output, input);
+  bool tmp;
+  this->_g(&tmp, input);
+  output[0] |= tmp;
+  return true;
+}
+
+
+template <typename S>
+IndicMinus1D<S>::IndicMinus1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g)
+  : IndicCalc1D<S>(f, g)
+{}
+
+// returns 1 if( f==1 && g==0 ) WITHOUT
+template <typename S>
+bool IndicMinus1D<S>::operator()(bool output[], const S input[])
+{
+  this->_f(output, input);
+  bool tmp;
+  this->_g(&tmp, input);
+  output[0] &= !tmp;
+  return true;
+}
+
+
+
+template <typename S>
+IndicMultiplication1D<S>::IndicMultiplication1D(IndicatorF1D<S>& f, IndicatorF1D<S>& g)
+  : IndicCalc1D<S>(f, g)
+{}
+
+// returns 1 if( f==1 && g==1 ) INTERSECTION
+template <typename S>
+bool IndicMultiplication1D<S>::operator() (bool output[], const S input[])
+{
+  this->_f(output, input);
+  bool tmp;
+  this->_g(&tmp, input);
+  output[0] &= tmp;
+  return true;
+}
+
+
+
+template <typename S>
+IndicatorF1D<S>& IndicatorF1D<S>::operator+(IndicatorF1D<S>& rhs)
+{
+  auto tmp = std::make_shared< IndicPlus1D<S> >(*this,rhs);
+  this->_ptrCalcC = tmp;
+  return *tmp;
+}
+
+template <typename S>
+IndicatorF1D<S>& IndicatorF1D<S>::operator-(IndicatorF1D<S>& rhs)
+{
+  auto tmp = std::make_shared< IndicMinus1D<S> >(*this,rhs);
+  this->_ptrCalcC = tmp;
+  return *tmp;
+}
+
+template <typename S>
+IndicatorF1D<S>& IndicatorF1D<S>::operator*(IndicatorF1D<S>& rhs)
+{
+  auto tmp = std::make_shared< IndicMultiplication1D<S> >(*this,rhs);
+  this->_ptrCalcC = tmp;
+  return *tmp;
+}
+
+
+
+
+//////////////////////////////// IndicCalc2D ////////////////////////////////
+template <typename S, template<typename U> class F>
+IndicCalc2D<S,F>::IndicCalc2D(std::shared_ptr<IndicatorF2D<S>> f, std::shared_ptr<IndicatorF2D<S>> g)
+  : _f(f), _g(g)
+{
+  for ( int i=0; i<2; i++) {
+    this->_myMin[i] = std::min(_f->getMin()[i], _g->getMin()[i]);
+    this->_myMax[i] = std::max(_f->getMax()[i], _g->getMax()[i]);
+  }
+}
+
+template <typename S, template<typename U> class F>
+bool IndicCalc2D<S,F>::operator()( bool output[], const S input[2])
+{
+  // componentwise operation on equidimensional functors
+  bool* outputF = output;
+  _f->operator()(outputF, input);
+
+  bool outputG[this->getTargetDim()];
+  _g->operator()(outputG, input);
+
+  for (int i = 0; i < this->getTargetDim(); i++) {
+    output[i] = F<S>()(outputF[i], outputG[i]);
+  }
+  return output;
+}
+
+
+
+
+
+//// no association to a operator+ from a class is needed, thus we have these free functions
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename>
+std::shared_ptr<IndicatorF2D<S>> operator+(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs)
+{
+  return std::make_shared<IndicPlus2D<S>>(lhs, rhs);
+}
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename>
+std::shared_ptr<IndicatorF2D<S>> operator-(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs)
+{
+  return std::make_shared<IndicMinus2D<S>>(lhs, rhs);
+}
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename>
+std::shared_ptr<IndicatorF2D<S>> operator*(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs)
+{
+  return std::make_shared<IndicMultiplication2D<S>>(lhs, rhs);
+}
+
+// template specialization for indicatorIdentity
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename>
+std::shared_ptr<IndicatorF2D<S>> operator+(F1<S> & lhs, std::shared_ptr<F2<S>> rhs)
+{
+  return lhs._f + rhs;
+}
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename>
+std::shared_ptr<IndicatorF2D<S>> operator-(F1<S> & lhs, std::shared_ptr<F2<S>> rhs)
+{
+  return lhs._f - rhs;
+}
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename>
+std::shared_ptr<IndicatorF2D<S>> operator*(F1<S> & lhs, std::shared_ptr<F2<S>> rhs)
+{
+  return lhs._f * rhs;
+}
+
+
+} // end namespace olb
+
+#endif
diff --git a/src/functors/analytical/indicator/indicCalc3D.cpp b/src/functors/analytical/indicator/indicCalc3D.cpp
new file mode 100644
index 0000000..8ae86cf
--- /dev/null
+++ b/src/functors/analytical/indicator/indicCalc3D.cpp
@@ -0,0 +1,50 @@
+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2018 Albert Mink
+ *  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.
+*/
+
+#include "indicCalc3D.h"
+#include "indicCalc3D.hh"
+
+
+namespace olb {
+
+// arithmetic helper class for indicator 3d functors
+template class IndicCalc3D<double,util::plus>;
+template class IndicCalc3D<double,util::minus>;
+template class IndicCalc3D<double,util::multiplies>;
+
+template std::shared_ptr<IndicatorF3D<double>> operator+(std::shared_ptr<IndicatorF3D<double>> lhs,
+    std::shared_ptr<IndicatorF3D<double>> rhs);
+template std::shared_ptr<IndicatorF3D<double>> operator-(std::shared_ptr<IndicatorF3D<double>> lhs,
+    std::shared_ptr<IndicatorF3D<double>> rhs);
+template std::shared_ptr<IndicatorF3D<double>> operator*(std::shared_ptr<IndicatorF3D<double>> lhs,
+    std::shared_ptr<IndicatorF3D<double>> rhs);
+
+template std::shared_ptr<IndicatorF3D<double>> operator+(IndicatorIdentity3D<double> & lhs,
+    std::shared_ptr<IndicatorF3D<double>>);
+template std::shared_ptr<IndicatorF3D<double>> operator-(IndicatorIdentity3D<double> & lhs,
+    std::shared_ptr<IndicatorF3D<double>>);
+template std::shared_ptr<IndicatorF3D<double>> operator*(IndicatorIdentity3D<double> & lhs,
+    std::shared_ptr<IndicatorF3D<double>>);
+
+}
+
diff --git a/src/functors/analytical/indicator/indicCalc3D.h b/src/functors/analytical/indicator/indicCalc3D.h
new file mode 100644
index 0000000..8d7f667
--- /dev/null
+++ b/src/functors/analytical/indicator/indicCalc3D.h
@@ -0,0 +1,92 @@
+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2018 Albert Mink
+ *  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 INDIC_CALC_3D_H
+#define INDIC_CALC_3D_H
+
+#include "utilities/arithmetic.h"
+#include "indicatorBaseF3D.h"
+
+namespace olb {
+
+
+/*
+ *  arithmetic helper classes for IndicatorF3D, smoothIndicator3D
+ *  UNION         +
+ *  WITHOUT       -
+ *  INTERSECTION  *
+*/
+
+//////////////////////////////// indicCalc3D ////////////////////////////////
+/// arithmetic helper class for Indicator 3d functors
+template <typename S, template<typename U> class F>
+class IndicCalc3D : public IndicatorF3D<S> {
+protected:
+  std::shared_ptr<IndicatorF3D<S>> _f;
+  std::shared_ptr<IndicatorF3D<S>> _g;
+public:
+  IndicCalc3D( std::shared_ptr<IndicatorF3D<S>> f, std::shared_ptr<IndicatorF3D<S>> g );
+
+  bool operator() (bool output[], const S input[3]) override;
+};
+
+/// Addition functor (W==bool: Union)
+template <typename S>
+using IndicPlus3D = IndicCalc3D<S,util::plus>;
+template <typename S>
+using IndicMinus3D = IndicCalc3D<S,util::minus>;
+template <typename S>
+using IndicMultiplication3D = IndicCalc3D<S,util::multiplies>;
+
+/** Free function implements lhs+rhs, only for IndicaotrsF3D types through enable_if and is_base_of
+ *
+ * \tparam S usual type for source dimension of the functor
+ * \tparam F1 lhs has to be derived from IndicatorF3D, otherwise function is disabled
+ * \tparam F2 rhs
+ */
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator+(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator-(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator*(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator+(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator-(F1<S> & lhs, std::shared_ptr<F2<S