text: /*
   [auto_generated]
   boost/numeric/odeint/external/openmp/openmp_nested_algebra.hpp
  
   [begin_description]
   Nested parallelized algebra for OpenMP.
   [end_description]
  
   Copyright 2013 Karsten Ahnert
   Copyright 2013 Mario Mulansky
   Copyright 2013 Pascal Germroth
  
   Distributed under the Boost Software License, Version 1.0.
   (See accompanying file LICENSE_1_0.txt or
   copy at http://www.boost.org/LICENSE_1_0.txt)
   */
  
  
  #ifndef BOOST_NUMERIC_ODEINT_EXTERNAL_OPENMP_OPENMP_NESTED_ALGEBRA_HPP_INCLUDED
  #define BOOST_NUMERIC_ODEINT_EXTERNAL_OPENMP_OPENMP_NESTED_ALGEBRA_HPP_INCLUDED
  
  #include <boost/assert.hpp>
  #include <boost/range.hpp>
  #include <boost/numeric/odeint/algebra/norm_result_type.hpp>
  #include <boost/numeric/odeint/util/n_ary_helper.hpp>
  
  namespace boost {
  namespace numeric {
  namespace odeint {
  
  /** \brief OpenMP-parallelized algebra, wrapping another, non-parallelized algebra.
   *
   * NestedState must be a model of Random Access Range, where the elements are sub-states
   * which will be processed in parallel.
   */
  template< class InnerAlgebra >
  struct openmp_nested_algebra
  {
  
  #if __cplusplus >= 201103L // C++11 supports _Pragma
  
  #define BOOST_ODEINT_GEN_LOCAL(z, n, unused) \
      BOOST_ASSERT_MSG( len == boost::size(s ## n), "All nested state ranges must have the same size." ); \
      typename boost::range_iterator<S ## n>::type beg ## n = boost::begin(s ## n);
  #define BOOST_ODEINT_GEN_BODY(n) \
      const size_t len = boost::size(s0); \
      BOOST_PP_REPEAT(n, BOOST_ODEINT_GEN_LOCAL, ~) \
      _Pragma("omp parallel for schedule(runtime)") \
      for( size_t i = 0 ; i < len ; i++ ) \
          InnerAlgebra::for_each##n( \
              BOOST_PP_ENUM_BINARY_PARAMS(n, beg, [i] BOOST_PP_INTERCEPT) , \
              op \
          );
  BOOST_ODEINT_GEN_FOR_EACH(BOOST_ODEINT_GEN_BODY)
  #undef BOOST_ODEINT_GEN_BODY
  #undef BOOST_ODEINT_GEN_LOCAL
  
  #else
  
      template< class S0 , class Op > static void for_each1 ( S0 &s0 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each1( beg0 [i] , op );
      }
      template< class S0 , class S1 , class Op > static void for_each2 ( S0 &s0 , S1 &s1 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each2( beg0 [i] , beg1 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class Op > static void for_each3 ( S0 &s0 , S1 &s1 , S2 &s2 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each3( beg0 [i] , beg1 [i] , beg2 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class Op > static void for_each4 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each4( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class Op > static void for_each5 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each5( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class Op > static void for_each6 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each6( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class Op > static void for_each7 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each7( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class Op > static void for_each8 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each8( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class Op > static void for_each9 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each9( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class S9 , class Op > static void for_each10 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          typename boost::range_iterator<S9>::type beg9 = boost::begin(s9);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each10( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , beg9 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class S9 , class S10 , class Op > static void for_each11 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          typename boost::range_iterator<S9>::type beg9 = boost::begin(s9);
          typename boost::range_iterator<S10>::type beg10 = boost::begin(s10);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each11( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , beg9 [i] , beg10 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class S9 , class S10 , class S11 , class Op > static void for_each12 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          typename boost::range_iterator<S9>::type beg9 = boost::begin(s9);
          typename boost::range_iterator<S10>::type beg10 = boost::begin(s10);
          typename boost::range_iterator<S11>::type beg11 = boost::begin(s11);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each12( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , beg9 [i] , beg10 [i] , beg11 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class Op > static void for_each13 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          typename boost::range_iterator<S9>::type beg9 = boost::begin(s9);
          typename boost::range_iterator<S10>::type beg10 = boost::begin(s10);
          typename boost::range_iterator<S11>::type beg11 = boost::begin(s11);
          typename boost::range_iterator<S12>::type beg12 = boost::begin(s12);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each13( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , beg9 [i] , beg10 [i] , beg11 [i] , beg12 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class S13 , class Op > static void for_each14 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , S13 &s13 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          typename boost::range_iterator<S9>::type beg9 = boost::begin(s9);
          typename boost::range_iterator<S10>::type beg10 = boost::begin(s10);
          typename boost::range_iterator<S11>::type beg11 = boost::begin(s11);
          typename boost::range_iterator<S12>::type beg12 = boost::begin(s12);
          typename boost::range_iterator<S13>::type beg13 = boost::begin(s13);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each14( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , beg9 [i] , beg10 [i] , beg11 [i] , beg12 [i] , beg13 [i] , op );
      }
      template< class S0 , class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class S13 , class S14 , class Op > static void for_each15 ( S0 &s0 , S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , S13 &s13 , S14 &s14 , Op op ) {
          const size_t len = boost::size(s0);
          typename boost::range_iterator<S0>::type beg0 = boost::begin(s0);
          typename boost::range_iterator<S1>::type beg1 = boost::begin(s1);
          typename boost::range_iterator<S2>::type beg2 = boost::begin(s2);
          typename boost::range_iterator<S3>::type beg3 = boost::begin(s3);
          typename boost::range_iterator<S4>::type beg4 = boost::begin(s4);
          typename boost::range_iterator<S5>::type beg5 = boost::begin(s5);
          typename boost::range_iterator<S6>::type beg6 = boost::begin(s6);
          typename boost::range_iterator<S7>::type beg7 = boost::begin(s7);
          typename boost::range_iterator<S8>::type beg8 = boost::begin(s8);
          typename boost::range_iterator<S9>::type beg9 = boost::begin(s9);
          typename boost::range_iterator<S10>::type beg10 = boost::begin(s10);
          typename boost::range_iterator<S11>::type beg11 = boost::begin(s11);
          typename boost::range_iterator<S12>::type beg12 = boost::begin(s12);
          typename boost::range_iterator<S13>::type beg13 = boost::begin(s13);
          typename boost::range_iterator<S14>::type beg14 = boost::begin(s14);
          #pragma omp parallel for schedule(runtime)
          for( size_t i = 0 ; i < len ; i++ ) InnerAlgebra::for_each15( beg0 [i] , beg1 [i] , beg2 [i] , beg3 [i] , beg4 [i] , beg5 [i] , beg6 [i] , beg7 [i] , beg8 [i] , beg9 [i] , beg10 [i] , beg11 [i] , beg12 [i] , beg13 [i] , beg14 [i] , op );
      }
  
  #endif
  
  
      template< class NestedState >
      static typename norm_result_type< typename NestedState::value_type >::type norm_inf( const NestedState &s )
      {
          typedef typename boost::range_iterator<const NestedState>::type iterator;
          typedef typename std::iterator_traits<iterator>::value_type value_type;
          typedef typename norm_result_type<value_type>::type result_type;
          result_type init = static_cast< result_type >( 0 );
          const size_t len = boost::size(s);
          iterator beg = boost::begin(s);
  #       pragma omp parallel for reduction(max: init) schedule(dynamic)
          for( size_t i = 0 ; i < len ; i++ )
              init = (std::max)( init , InnerAlgebra::norm_inf( beg[i] ) );
          return init;
      }
  
  };
  
  
  }
  }
  }
  
  #endif
  