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AnalysisSystemForRadionucli.../include/armadillo_bits/traits.hpp

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Initial commit on main branch
2024-06-04 15:25:02 +08:00
// Copyright (C) 2008-2015 National ICT Australia (NICTA)
//
// 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/.
// -------------------------------------------------------------------
//
// Written by Conrad Sanderson - http://conradsanderson.id.au
//! \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_strans
{ static const bool value = false; };
template<typename T1>
struct is_op_strans< Op<T1,op_strans> >
{ static const bool value = true; };
template<typename T1>
struct is_op_strans< const Op<T1,op_strans> >
{ static const bool value = true; };
template<typename T>
struct is_op_htrans
{ static const bool value = false; };
template<typename T1>
struct is_op_htrans< Op<T1,op_htrans> >
{ static const bool value = true; };
template<typename T1>
struct is_op_htrans< const Op<T1,op_htrans> >
{ 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_Mat_trans
{ static const bool value = false; };
template<typename T1>
struct is_Mat_trans< Op<T1,op_htrans> >
{ static const bool value = is_Mat<T1>::value; };
template<typename T1>
struct is_Mat_trans< Op<T1,op_htrans2> >
{ static const bool value = is_Mat<T1>::value; };
//
//
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;
static const bool yes = false;
static const bool no = true;
};
template<typename T1>
struct is_same_type<T1,T1>
{
static const bool value = true;
static const bool yes = true;
static const bool no = false;
};
//
//
//
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; };
template<typename T1>
struct is_cx
{
static const bool value = false;
static const bool yes = false;
static const bool no = true;
};
// template<>
template<typename T>
struct is_cx< std::complex<T> >
{
static const bool value = true;
static const bool yes = true;
static const bool no = false;
};
//! 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 T1>
struct resolves_to_rowvector_default { static const bool value = false; };
template<typename T1>
struct resolves_to_rowvector_test { static const bool value = T1::is_row; };
template<typename T1, bool condition>
struct resolves_to_rowvector_redirect {};
template<typename T1>
struct resolves_to_rowvector_redirect<T1, false> { typedef resolves_to_rowvector_default<T1> result; };
template<typename T1>
struct resolves_to_rowvector_redirect<T1, true> { typedef resolves_to_rowvector_test<T1> result; };
template<typename T1>
struct resolves_to_rowvector : public resolves_to_rowvector_redirect<T1, is_arma_type<T1>::value>::result {};
//
template<typename T1>
struct resolves_to_colvector_default { static const bool value = false; };
template<typename T1>
struct resolves_to_colvector_test { static const bool value = T1::is_col; };
template<typename T1, bool condition>
struct resolves_to_colvector_redirect {};
template<typename T1>
struct resolves_to_colvector_redirect<T1, false> { typedef resolves_to_colvector_default<T1> result; };
template<typename T1>
struct resolves_to_colvector_redirect<T1, true> { typedef resolves_to_colvector_test<T1> result; };
template<typename T1>
struct resolves_to_colvector : public resolves_to_colvector_redirect<T1, is_arma_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<> struct is_glue_mixed_elem<glue_rel_and> { static const bool value = true; };
template<> struct is_glue_mixed_elem<glue_rel_or> { 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; };
template<typename T1>
struct is_outer_product
{ static const bool value = false; };
template<typename T1, typename T2>
struct is_outer_product< Glue<T1,T2,glue_times> >
{ static const bool value = (resolves_to_colvector<T1>::value && resolves_to_rowvector<T2>::value); };
template<typename T1>
struct has_op_inv
{ static const bool value = false; };
template<typename T1>
struct has_op_inv< Op<T1,op_inv> >
{ static const bool value = true; };
template<typename T1, typename T2>
struct has_op_inv< Glue<Op<T1,op_inv>, T2, glue_times> >
{ static const bool value = true; };
template<typename T1, typename T2>
struct has_op_inv< Glue<T1, Op<T2,op_inv>, glue_times> >
{ static const bool value = true; };
//! @}
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