comparison armadillo-3.900.4/include/armadillo_bits/traits.hpp @ 49:1ec0e2823891

Switch to using subrepo copies of qm-dsp, nnls-chroma, vamp-plugin-sdk; update Armadillo version; assume build without external BLAS/LAPACK

+// Copyright (C) 2008-2013 NICTA (www.nicta.com.au)
+// Copyright (C) 2008-2013 Conrad Sanderson
+// 
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this
+// file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+
+//! \addtogroup traits
+//! @{
+
+
+template<typename T1>
+struct get_pod_type
+  { typedef T1 result; };
+
+template<typename T2>
+struct get_pod_type< std::complex<T2> >
+  { typedef T2 result; };
+
+
+
+template<typename T>
+struct is_Mat_fixed_only
+  {
+  typedef char yes[1];
+  typedef char no[2];
+  
+  template<typename X> static yes& check(typename X::Mat_fixed_type*);
+  template<typename>   static no&  check(...);
+  
+  static const bool value = ( sizeof(check<T>(0)) == sizeof(yes) );
+  };
+
+
+
+template<typename T>
+struct is_Row_fixed_only
+  {
+  typedef char yes[1];
+  typedef char no[2];
+  
+  template<typename X> static yes& check(typename X::Row_fixed_type*);
+  template<typename>   static no&  check(...);
+  
+  static const bool value = ( sizeof(check<T>(0)) == sizeof(yes) );
+  };
+
+
+
+template<typename T>
+struct is_Col_fixed_only
+  {
+  typedef char yes[1];
+  typedef char no[2];
+  
+  template<typename X> static yes& check(typename X::Col_fixed_type*);
+  template<typename>   static no&  check(...);
+  
+  static const bool value = ( sizeof(check<T>(0)) == sizeof(yes) );
+  };
+
+
+
+template<typename T>
+struct is_Mat_fixed
+  { static const bool value = ( is_Mat_fixed_only<T>::value || is_Row_fixed_only<T>::value || is_Col_fixed_only<T>::value ); };
+
+
+
+template<typename T>
+struct is_Mat_only
+  { static const bool value = is_Mat_fixed_only<T>::value; };
+
+template<typename eT>
+struct is_Mat_only< Mat<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Mat_only< const Mat<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_Mat
+  { static const bool value = ( is_Mat_fixed_only<T>::value || is_Row_fixed_only<T>::value || is_Col_fixed_only<T>::value ); };
+
+template<typename eT>
+struct is_Mat< Mat<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Mat< const Mat<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Mat< Row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Mat< const Row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Mat< Col<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Mat< const Col<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_Row
+  { static const bool value = is_Row_fixed_only<T>::value; };
+
+template<typename eT>
+struct is_Row< Row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Row< const Row<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_Col
+  { static const bool value = is_Col_fixed_only<T>::value; };
+
+template<typename eT>
+struct is_Col< Col<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_Col< const Col<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_diagview
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_diagview< diagview<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_diagview< const diagview<eT> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_subview
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_subview< subview<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_subview< const subview<eT> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_subview_row
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_subview_row< subview_row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_subview_row< const subview_row<eT> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_subview_col
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_subview_col< subview_col<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_subview_col< const subview_col<eT> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_subview_elem1
+  { static const bool value = false; };
+
+template<typename eT, typename T1>
+struct is_subview_elem1< subview_elem1<eT, T1> >
+  { static const bool value = true; };
+
+template<typename eT, typename T1>
+struct is_subview_elem1< const subview_elem1<eT, T1> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_subview_elem2
+  { static const bool value = false; };
+
+template<typename eT, typename T1, typename T2>
+struct is_subview_elem2< subview_elem2<eT, T1, T2> >
+  { static const bool value = true; };
+
+template<typename eT, typename T1, typename T2>
+struct is_subview_elem2< const subview_elem2<eT, T1, T2> >
+  { static const bool value = true; };
+
+
+
+//
+//
+//
+
+
+
+template<typename T>
+struct is_Cube
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_Cube< Cube<eT> >
+  { static const bool value = true; };
+
+template<typename T>
+struct is_subview_cube
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_subview_cube< subview_cube<eT> >
+  { static const bool value = true; };
+
+
+
+//
+//
+//
+
+
+template<typename T>
+struct is_Gen
+  { static const bool value = false; };
+ 
+template<typename T1, typename gen_type>
+struct is_Gen< Gen<T1,gen_type> >
+  { static const bool value = true; };
+ 
+template<typename T1, typename gen_type>
+struct is_Gen< const Gen<T1,gen_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_Op
+  { static const bool value = false; };
+ 
+template<typename T1, typename op_type>
+struct is_Op< Op<T1,op_type> >
+  { static const bool value = true; };
+ 
+template<typename T1, typename op_type>
+struct is_Op< const Op<T1,op_type> >
+  { static const bool value = true; };
+
+template<typename T>
+struct is_eOp
+  { static const bool value = false; };
+ 
+template<typename T1, typename eop_type>
+struct is_eOp< eOp<T1,eop_type> >
+  { static const bool value = true; };
+ 
+template<typename T1, typename eop_type>
+struct is_eOp< const eOp<T1,eop_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_mtOp
+  { static const bool value = false; };
+ 
+template<typename eT, typename T1, typename op_type>
+struct is_mtOp< mtOp<eT, T1, op_type> >
+  { static const bool value = true; };
+ 
+template<typename eT, typename T1, typename op_type>
+struct is_mtOp< const mtOp<eT, T1, op_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_Glue
+  { static const bool value = false; };
+ 
+template<typename T1, typename T2, typename glue_type>
+struct is_Glue< Glue<T1,T2,glue_type> >
+  { static const bool value = true; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_Glue< const Glue<T1,T2,glue_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_eGlue
+  { static const bool value = false; };
+ 
+template<typename T1, typename T2, typename eglue_type>
+struct is_eGlue< eGlue<T1,T2,eglue_type> >
+  { static const bool value = true; };
+
+template<typename T1, typename T2, typename eglue_type>
+struct is_eGlue< const eGlue<T1,T2,eglue_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_mtGlue
+  { static const bool value = false; };
+ 
+template<typename eT, typename T1, typename T2, typename glue_type>
+struct is_mtGlue< mtGlue<eT, T1, T2, glue_type> >
+  { static const bool value = true; };
+
+template<typename eT, typename T1, typename T2, typename glue_type>
+struct is_mtGlue< const mtGlue<eT, T1, T2, glue_type> >
+  { static const bool value = true; };
+
+
+//
+//
+
+
+template<typename T>
+struct is_glue_times
+  { static const bool value = false; };
+
+template<typename T1, typename T2>
+struct is_glue_times< Glue<T1,T2,glue_times> >
+  { static const bool value = true; };
+
+template<typename T1, typename T2>
+struct is_glue_times< const Glue<T1,T2,glue_times> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_glue_times_diag
+  { static const bool value = false; };
+
+template<typename T1, typename T2>
+struct is_glue_times_diag< Glue<T1,T2,glue_times_diag> >
+  { static const bool value = true; };
+
+template<typename T1, typename T2>
+struct is_glue_times_diag< const Glue<T1,T2,glue_times_diag> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_op_diagmat
+  { static const bool value = false; };
+ 
+template<typename T1>
+struct is_op_diagmat< Op<T1,op_diagmat> >
+  { static const bool value = true; };
+
+template<typename T1>
+struct is_op_diagmat< const Op<T1,op_diagmat> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_op_htrans2
+  { static const bool value = false; };
+ 
+template<typename T1>
+struct is_op_htrans2< Op<T1,op_htrans2> >
+  { static const bool value = true; };
+
+template<typename T1>
+struct is_op_htrans2< const Op<T1,op_htrans2> >
+  { static const bool value = true; };
+
+
+//
+//
+
+
+template<typename T>
+struct is_GenCube
+  { static const bool value = false; };
+ 
+template<typename eT, typename gen_type>
+struct is_GenCube< GenCube<eT,gen_type> >
+  { static const bool value = true; };
+ 
+
+template<typename T>
+struct is_OpCube
+  { static const bool value = false; };
+ 
+template<typename T1, typename op_type>
+struct is_OpCube< OpCube<T1,op_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_eOpCube
+  { static const bool value = false; };
+ 
+template<typename T1, typename eop_type>
+struct is_eOpCube< eOpCube<T1,eop_type> >
+  { static const bool value = true; };
+ 
+
+template<typename T>
+struct is_mtOpCube
+  { static const bool value = false; };
+ 
+template<typename eT, typename T1, typename op_type>
+struct is_mtOpCube< mtOpCube<eT, T1, op_type> >
+  { static const bool value = true; };
+ 
+
+template<typename T>
+struct is_GlueCube
+  { static const bool value = false; };
+ 
+template<typename T1, typename T2, typename glue_type>
+struct is_GlueCube< GlueCube<T1,T2,glue_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_eGlueCube
+  { static const bool value = false; };
+ 
+template<typename T1, typename T2, typename eglue_type>
+struct is_eGlueCube< eGlueCube<T1,T2,eglue_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_mtGlueCube
+  { static const bool value = false; };
+ 
+template<typename eT, typename T1, typename T2, typename glue_type>
+struct is_mtGlueCube< mtGlueCube<eT, T1, T2, glue_type> >
+  { static const bool value = true; };
+
+
+//
+//
+//
+
+
+template<typename T>
+struct is_op_rel
+  { static const bool value = false; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_lt_pre> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_lt_post> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_gt_pre> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_gt_post> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_lteq_pre> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_lteq_post> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_gteq_pre> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_gteq_post> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_eq> >
+  { static const bool value = true; };
+
+template<typename out_eT, typename T1>
+struct is_op_rel< mtOp<out_eT, T1, op_rel_noteq> >
+  { static const bool value = true; };
+
+
+
+//
+//
+//
+
+
+
+template<typename T>
+struct is_basevec
+  { static const bool value = ( is_Row_fixed_only<T>::value || is_Col_fixed_only<T>::value ); };
+
+template<typename eT>
+struct is_basevec< Row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< const Row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< Col<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< const Col<eT> >
+  { static const bool value = true; };
+  
+template<typename eT>
+struct is_basevec< subview_row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< const subview_row<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< subview_col<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< const subview_col<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< diagview<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_basevec< const diagview<eT> >
+  { static const bool value = true; };
+  
+template<typename eT, typename T1>
+struct is_basevec< subview_elem1<eT,T1> >
+  { static const bool value = true; };
+
+template<typename eT, typename T1>
+struct is_basevec< const subview_elem1<eT,T1> >
+  { static const bool value = true; };
+
+
+//
+//
+//
+
+
+
+template<typename T1>
+struct is_arma_type
+  {
+  static const bool value
+  =  is_Mat<T1>::value
+  || is_Gen<T1>::value
+  || is_Op<T1>::value
+  || is_Glue<T1>::value
+  || is_eOp<T1>::value
+  || is_eGlue<T1>::value
+  || is_mtOp<T1>::value
+  || is_mtGlue<T1>::value
+  || is_diagview<T1>::value
+  || is_subview<T1>::value
+  || is_subview_row<T1>::value
+  || is_subview_col<T1>::value
+  || is_subview_elem1<T1>::value
+  || is_subview_elem2<T1>::value
+  ;
+  };
+
+
+
+template<typename T1>
+struct is_arma_cube_type
+  {
+  static const bool value
+  =  is_Cube<T1>::value
+  || is_GenCube<T1>::value
+  || is_OpCube<T1>::value
+  || is_eOpCube<T1>::value
+  || is_mtOpCube<T1>::value
+  || is_GlueCube<T1>::value
+  || is_eGlueCube<T1>::value
+  || is_mtGlueCube<T1>::value
+  || is_subview_cube<T1>::value
+  ;
+  };
+
+
+
+//
+//
+//
+
+
+
+template<typename T>
+struct is_SpMat
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_SpMat< SpMat<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_SpMat< SpCol<eT> >
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_SpMat< SpRow<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_SpRow
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_SpRow< SpRow<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_SpCol
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_SpCol< SpCol<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T>
+struct is_SpSubview
+  { static const bool value = false; };
+
+template<typename eT>
+struct is_SpSubview< SpSubview<eT> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_SpOp
+  { static const bool value = false; };
+ 
+template<typename T1, typename op_type>
+struct is_SpOp< SpOp<T1,op_type> >
+  { static const bool value = true; };
+
+
+template<typename T>
+struct is_SpGlue
+  { static const bool value = false; };
+ 
+template<typename T1, typename T2, typename glue_type>
+struct is_SpGlue< SpGlue<T1,T2,glue_type> >
+  { static const bool value = true; };
+ 
+
+template<typename T>
+struct is_mtSpOp
+  { static const bool value = false; };
+ 
+template<typename eT, typename T1, typename spop_type>
+struct is_mtSpOp< mtSpOp<eT, T1, spop_type> >
+  { static const bool value = true; };
+ 
+
+
+template<typename T1>
+struct is_arma_sparse_type
+  {
+  static const bool value
+  =  is_SpMat<T1>::value
+  || is_SpSubview<T1>::value
+  || is_SpOp<T1>::value
+  || is_SpGlue<T1>::value
+  || is_mtSpOp<T1>::value
+  ;
+  };
+
+
+
+//
+//
+//
+
+
+template<typename T1, typename T2>
+struct is_same_type
+  { static const bool value = false; };
+
+
+template<typename T1>
+struct is_same_type<T1,T1>
+  { static const bool value = true; };
+
+
+
+//
+//
+//
+
+
+template<typename T1>
+struct is_u8
+  { static const bool value = false; };
+
+template<>
+struct is_u8<u8>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_s8
+  { static const bool value = false; };
+
+template<>
+struct is_s8<s8>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_u16
+  { static const bool value = false; };
+
+template<>
+struct is_u16<u16>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_s16
+  { static const bool value = false; };
+
+template<>
+struct is_s16<s16>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_u32
+  { static const bool value = false; };
+
+template<>
+struct is_u32<u32>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_s32
+  { static const bool value = false; };
+
+template<>
+struct is_s32<s32>
+  { static const bool value = true; };
+
+
+
+#if defined(ARMA_USE_U64S64)
+  template<typename T1>
+  struct is_u64
+    { static const bool value = false; };
+
+  template<>
+  struct is_u64<u64>
+    { static const bool value = true; };
+  
+  
+  template<typename T1>
+  struct is_s64
+    { static const bool value = false; };
+
+  template<>
+  struct is_s64<s64>
+    { static const bool value = true; };
+#endif
+
+
+
+template<typename T1>
+struct is_ulng_t
+  { static const bool value = false; };
+
+template<>
+struct is_ulng_t<ulng_t>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_slng_t
+  { static const bool value = false; };
+
+template<>
+struct is_slng_t<slng_t>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_ulng_t_32
+  { static const bool value = false; };
+
+template<>
+struct is_ulng_t_32<ulng_t>
+  { static const bool value = (sizeof(ulng_t) == 4); };
+
+
+
+template<typename T1>
+struct is_slng_t_32
+  { static const bool value = false; };
+
+template<>
+struct is_slng_t_32<slng_t>
+  { static const bool value = (sizeof(slng_t) == 4); };
+
+
+
+template<typename T1>
+struct is_ulng_t_64
+  { static const bool value = false; };
+
+template<>
+struct is_ulng_t_64<ulng_t>
+  { static const bool value = (sizeof(ulng_t) == 8); };
+
+
+
+template<typename T1>
+struct is_slng_t_64
+  { static const bool value = false; };
+
+template<>
+struct is_slng_t_64<slng_t>
+  { static const bool value = (sizeof(slng_t) == 8); };
+
+
+
+template<typename T1>
+struct is_uword
+  { static const bool value = false; };
+
+template<>
+struct is_uword<uword>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_sword
+  { static const bool value = false; };
+
+template<>
+struct is_sword<sword>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_float
+  { static const bool value = false; };
+
+template<>
+struct is_float<float>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_double
+  { static const bool value = false; };
+
+template<>
+struct is_double<double>
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_real
+  { static const bool value = false; };
+
+template<>
+struct is_real<float>
+  { static const bool value = true; };
+  
+template<>
+struct is_real<double>
+  { static const bool value = true; };
+
+
+
+
+template<typename T1>
+struct is_not_complex
+  { static const bool value = true; };
+
+template<typename eT>
+struct is_not_complex< std::complex<eT> >
+  { static const bool value = false; };
+
+
+
+template<typename T1>
+struct is_complex
+  { static const bool value = false; };
+
+// template<>
+template<typename eT>
+struct is_complex< std::complex<eT> >
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_complex_float
+  { static const bool value = false; };
+
+template<>
+struct is_complex_float< std::complex<float> >
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_complex_double
+  { static const bool value = false; };
+
+template<>
+struct is_complex_double< std::complex<double> >
+  { static const bool value = true; };
+
+
+
+template<typename T1>
+struct is_complex_strict
+  { static const bool value = false; };
+
+template<>
+struct is_complex_strict< std::complex<float> >
+  { static const bool value = true; };
+
+template<>
+struct is_complex_strict< std::complex<double> >
+  { static const bool value = true; };
+
+
+
+//! check for a weird implementation of the std::complex class
+template<typename T1>
+struct is_supported_complex
+  { static const bool value = false; };
+
+//template<>
+template<typename eT>
+struct is_supported_complex< std::complex<eT> >
+  { static const bool value = ( sizeof(std::complex<eT>) == 2*sizeof(eT) ); };
+
+
+
+template<typename T1>
+struct is_supported_complex_float
+  { static const bool value = false; };
+
+template<>
+struct is_supported_complex_float< std::complex<float> >
+  { static const bool value = ( sizeof(std::complex<float>) == 2*sizeof(float) ); };
+
+
+
+template<typename T1>
+struct is_supported_complex_double
+  { static const bool value = false; };
+
+template<>
+struct is_supported_complex_double< std::complex<double> >
+  { static const bool value = ( sizeof(std::complex<double>) == 2*sizeof(double) ); };
+
+
+
+template<typename T1>
+struct is_supported_elem_type
+  {
+  static const bool value = \
+    is_u8<T1>::value ||
+    is_s8<T1>::value ||
+    is_u16<T1>::value ||
+    is_s16<T1>::value ||
+    is_u32<T1>::value ||
+    is_s32<T1>::value ||
+#if defined(ARMA_USE_U64S64)
+    is_u64<T1>::value ||
+    is_s64<T1>::value ||
+#endif
+#if defined(ARMA_ALLOW_LONG)
+    is_ulng_t<T1>::value ||
+    is_slng_t<T1>::value ||
+#endif
+    is_float<T1>::value ||
+    is_double<T1>::value ||
+    is_supported_complex_float<T1>::value ||
+    is_supported_complex_double<T1>::value;
+  };
+
+
+
+template<typename T1>
+struct is_supported_blas_type
+  {
+  static const bool value = \
+    is_float<T1>::value ||
+    is_double<T1>::value ||
+    is_supported_complex_float<T1>::value ||
+    is_supported_complex_double<T1>::value;
+  };
+
+
+
+template<typename T>
+struct is_signed
+  {
+  static const bool value = true;
+  };
+
+
+template<> struct is_signed<u8>     { static const bool value = false; };
+template<> struct is_signed<u16>    { static const bool value = false; };
+template<> struct is_signed<u32>    { static const bool value = false; };
+#if defined(ARMA_USE_U64S64)
+template<> struct is_signed<u64>    { static const bool value = false; };
+#endif
+#if defined(ARMA_ALLOW_LONG)
+template<> struct is_signed<ulng_t> { static const bool value = false; };
+#endif
+
+
+template<typename T>
+struct is_non_integral
+  {
+  static const bool value = false;
+  };
+
+
+template<> struct is_non_integral<              float   > { static const bool value = true; };
+template<> struct is_non_integral<              double  > { static const bool value = true; };
+template<> struct is_non_integral< std::complex<float>  > { static const bool value = true; };
+template<> struct is_non_integral< std::complex<double> > { static const bool value = true; };
+
+
+
+
+//
+
+class arma_junk_class;
+
+template<typename T1, typename T2>
+struct force_different_type
+  {
+  typedef T1 T1_result;
+  typedef T2 T2_result;
+  };
+  
+
+template<typename T1>
+struct force_different_type<T1,T1>
+  {
+  typedef T1              T1_result;
+  typedef arma_junk_class T2_result;
+  };
+  
+  
+
+//
+
+
+template<typename T1>
+struct resolves_to_vector_default { static const bool value = false;                    };
+
+template<typename T1>
+struct resolves_to_vector_test    { static const bool value = T1::is_col || T1::is_row; };
+
+
+template<typename T1, bool condition>
+struct resolves_to_vector_redirect {};
+
+template<typename T1>
+struct resolves_to_vector_redirect<T1, false> { typedef resolves_to_vector_default<T1> result; };
+
+template<typename T1>
+struct resolves_to_vector_redirect<T1, true>  { typedef resolves_to_vector_test<T1>    result; };
+
+
+template<typename T1>
+struct resolves_to_vector : public resolves_to_vector_redirect<T1, is_arma_type<T1>::value>::result {};
+
+template<typename T1>
+struct resolves_to_sparse_vector : public resolves_to_vector_redirect<T1, is_arma_sparse_type<T1>::value>::result {};
+
+
+
+template<typename glue_type> struct is_glue_mixed_times                   { static const bool value = false; };
+template<>                   struct is_glue_mixed_times<glue_mixed_times> { static const bool value = true;  };
+
+
+
+template<typename glue_type> struct is_glue_mixed_elem { static const bool value = false; };
+
+template<>                   struct is_glue_mixed_elem<glue_mixed_plus>  { static const bool value = true;  };
+template<>                   struct is_glue_mixed_elem<glue_mixed_minus> { static const bool value = true;  };
+template<>                   struct is_glue_mixed_elem<glue_mixed_div>   { static const bool value = true;  };
+template<>                   struct is_glue_mixed_elem<glue_mixed_schur> { static const bool value = true;  };
+
+template<>                   struct is_glue_mixed_elem<glue_rel_lt>    { static const bool value = true; };
+template<>                   struct is_glue_mixed_elem<glue_rel_gt>    { static const bool value = true; };
+template<>                   struct is_glue_mixed_elem<glue_rel_lteq>  { static const bool value = true; };
+template<>                   struct is_glue_mixed_elem<glue_rel_gteq>  { static const bool value = true; };
+template<>                   struct is_glue_mixed_elem<glue_rel_eq>    { static const bool value = true; };
+template<>                   struct is_glue_mixed_elem<glue_rel_noteq> { static const bool value = true; };
+
+
+
+template<typename op_type> struct is_op_mixed_elem { static const bool value = false; };
+
+template<>                 struct is_op_mixed_elem<op_cx_scalar_times>      { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_cx_scalar_plus>       { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_cx_scalar_minus_pre>  { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_cx_scalar_minus_post> { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_cx_scalar_div_pre>    { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_cx_scalar_div_post>   { static const bool value = true; };
+
+template<>                 struct is_op_mixed_elem<op_rel_lt_pre>    { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_lt_post>   { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_gt_pre>    { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_gt_post>   { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_lteq_pre>  { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_lteq_post> { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_gteq_pre>  { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_gteq_post> { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_eq>        { static const bool value = true; };
+template<>                 struct is_op_mixed_elem<op_rel_noteq>     { static const bool value = true; };
+
+
+
+template<typename spop_type> struct is_spop_elem                    { static const bool value = false; };
+template<>                   struct is_spop_elem<spop_scalar_times> { static const bool value = true;  };
+
+
+template<typename spglue_type> struct is_spglue_elem                { static const bool value = false; };
+template<>                     struct is_spglue_elem<spglue_plus>   { static const bool value = true;  };
+template<>                     struct is_spglue_elem<spglue_plus2>  { static const bool value = true;  };
+template<>                     struct is_spglue_elem<spglue_minus>  { static const bool value = true;  };
+template<>                     struct is_spglue_elem<spglue_minus2> { static const bool value = true;  };
+
+
+template<typename spglue_type> struct is_spglue_times               { static const bool value = false; };
+template<>                     struct is_spglue_times<spglue_times> { static const bool value = true;  };
+
+
+template<typename spglue_type> struct is_spglue_times2               { static const bool value = false; };
+template<>                     struct is_spglue_times<spglue_times2> { static const bool value = true;  };
+
+
+
+//! @}