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diff --git a/src/armadillo/include/armadillo_bits/traits.hpp b/src/armadillo/include/armadillo_bits/traits.hpp
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+// SPDX-License-Identifier: Apache-2.0
+//
+// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
+// Copyright 2008-2016 National ICT Australia (NICTA)
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+// ------------------------------------------------------------------------
+
+
+//! \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 constexpr 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 constexpr 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 constexpr bool value = ( sizeof(check<T>(0)) == sizeof(yes) );
+ };
+
+
+
+template<typename T>
+struct is_Mat_fixed
+ { static constexpr 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 constexpr bool value = is_Mat_fixed_only<T>::value; };
+
+template<typename eT>
+struct is_Mat_only< Mat<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Mat_only< const Mat<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_Mat
+ { static constexpr 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 constexpr bool value = true; };
+
+template<typename eT>
+struct is_Mat< const Mat<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Mat< Row<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Mat< const Row<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Mat< Col<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Mat< const Col<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_Row
+ { static constexpr bool value = is_Row_fixed_only<T>::value; };
+
+template<typename eT>
+struct is_Row< Row<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Row< const Row<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_Col
+ { static constexpr bool value = is_Col_fixed_only<T>::value; };
+
+template<typename eT>
+struct is_Col< Col<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Col< const Col<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_diagview
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_diagview< diagview<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_diagview< const diagview<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_subview
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_subview< subview<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_subview< const subview<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_subview_row
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_subview_row< subview_row<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_subview_row< const subview_row<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_subview_col
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_subview_col< subview_col<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_subview_col< const subview_col<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_subview_cols
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_subview_cols< subview_cols<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_subview_cols< const subview_cols<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_subview_elem1
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1>
+struct is_subview_elem1< subview_elem1<eT, T1> >
+ { static constexpr bool value = true; };
+
+template<typename eT, typename T1>
+struct is_subview_elem1< const subview_elem1<eT, T1> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_subview_elem2
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename T2>
+struct is_subview_elem2< subview_elem2<eT, T1, T2> >
+ { static constexpr bool value = true; };
+
+template<typename eT, typename T1, typename T2>
+struct is_subview_elem2< const subview_elem2<eT, T1, T2> >
+ { static constexpr bool value = true; };
+
+
+
+//
+//
+//
+
+
+
+template<typename T>
+struct is_Cube
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_Cube< Cube<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_Cube< const Cube<eT> >
+ { static constexpr bool value = true; };
+
+template<typename T>
+struct is_subview_cube
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_subview_cube< subview_cube<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_subview_cube< const subview_cube<eT> >
+ { static constexpr bool value = true; };
+
+template<typename T>
+struct is_subview_cube_slices
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1>
+struct is_subview_cube_slices< subview_cube_slices<eT,T1> >
+ { static constexpr bool value = true; };
+
+template<typename eT, typename T1>
+struct is_subview_cube_slices< const subview_cube_slices<eT,T1> >
+ { static constexpr bool value = true; };
+
+
+//
+//
+//
+
+
+template<typename T>
+struct is_Gen
+ { static constexpr bool value = false; };
+
+template<typename T1, typename gen_type>
+struct is_Gen< Gen<T1,gen_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename gen_type>
+struct is_Gen< const Gen<T1,gen_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_Op
+ { static constexpr bool value = false; };
+
+template<typename T1, typename op_type>
+struct is_Op< Op<T1,op_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename op_type>
+struct is_Op< const Op<T1,op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_CubeToMatOp
+ { static constexpr bool value = false; };
+
+template<typename T1, typename op_type>
+struct is_CubeToMatOp< CubeToMatOp<T1,op_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename op_type>
+struct is_CubeToMatOp< const CubeToMatOp<T1,op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpToDOp
+ { static constexpr bool value = false; };
+
+template<typename T1, typename op_type>
+struct is_SpToDOp< SpToDOp<T1,op_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename op_type>
+struct is_SpToDOp< const SpToDOp<T1,op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpToDGlue
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_SpToDGlue< SpToDGlue<T1,T2,glue_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_SpToDGlue< const SpToDGlue<T1,T2,glue_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_eOp
+ { static constexpr bool value = false; };
+
+template<typename T1, typename eop_type>
+struct is_eOp< eOp<T1,eop_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename eop_type>
+struct is_eOp< const eOp<T1,eop_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_mtOp
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename op_type>
+struct is_mtOp< mtOp<eT, T1, op_type> >
+ { static constexpr bool value = true; };
+
+template<typename eT, typename T1, typename op_type>
+struct is_mtOp< const mtOp<eT, T1, op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_Glue
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_Glue< Glue<T1,T2,glue_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_Glue< const Glue<T1,T2,glue_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_eGlue
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2, typename eglue_type>
+struct is_eGlue< eGlue<T1,T2,eglue_type> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2, typename eglue_type>
+struct is_eGlue< const eGlue<T1,T2,eglue_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_mtGlue
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename T2, typename glue_type>
+struct is_mtGlue< mtGlue<eT, T1, T2, glue_type> >
+ { static constexpr bool value = true; };
+
+template<typename eT, typename T1, typename T2, typename glue_type>
+struct is_mtGlue< const mtGlue<eT, T1, T2, glue_type> >
+ { static constexpr bool value = true; };
+
+
+//
+//
+
+
+template<typename T>
+struct is_glue_times
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2>
+struct is_glue_times< Glue<T1,T2,glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct is_glue_times< const Glue<T1,T2,glue_times> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_glue_times_diag
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2>
+struct is_glue_times_diag< Glue<T1,T2,glue_times_diag> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct is_glue_times_diag< const Glue<T1,T2,glue_times_diag> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_op_diagmat
+ { static constexpr bool value = false; };
+
+template<typename T1>
+struct is_op_diagmat< Op<T1,op_diagmat> >
+ { static constexpr bool value = true; };
+
+template<typename T1>
+struct is_op_diagmat< const Op<T1,op_diagmat> >
+ { static constexpr bool value = true; };
+
+
+//
+//
+
+
+template<typename T>
+struct is_Mat_trans
+ { static constexpr bool value = false; };
+
+template<typename T1>
+struct is_Mat_trans< Op<T1,op_htrans> >
+ { static constexpr bool value = is_Mat<T1>::value; };
+
+template<typename T1>
+struct is_Mat_trans< Op<T1,op_htrans2> >
+ { static constexpr bool value = is_Mat<T1>::value; };
+
+
+//
+//
+
+
+template<typename T>
+struct is_GenCube
+ { static constexpr bool value = false; };
+
+template<typename eT, typename gen_type>
+struct is_GenCube< GenCube<eT,gen_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_OpCube
+ { static constexpr bool value = false; };
+
+template<typename T1, typename op_type>
+struct is_OpCube< OpCube<T1,op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_eOpCube
+ { static constexpr bool value = false; };
+
+template<typename T1, typename eop_type>
+struct is_eOpCube< eOpCube<T1,eop_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_mtOpCube
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename op_type>
+struct is_mtOpCube< mtOpCube<eT, T1, op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_GlueCube
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_GlueCube< GlueCube<T1,T2,glue_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_eGlueCube
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2, typename eglue_type>
+struct is_eGlueCube< eGlueCube<T1,T2,eglue_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_mtGlueCube
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename T2, typename glue_type>
+struct is_mtGlueCube< mtGlueCube<eT, T1, T2, glue_type> >
+ { static constexpr bool value = true; };
+
+
+//
+//
+//
+
+
+template<typename T1>
+struct is_arma_type2
+ {
+ static constexpr 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_cols<T1>::value
+ || is_subview_elem1<T1>::value
+ || is_subview_elem2<T1>::value
+ || is_CubeToMatOp<T1>::value
+ || is_SpToDOp<T1>::value
+ || is_SpToDGlue<T1>::value
+ ;
+ };
+
+
+
+// due to rather baroque C++ rules for proving constant expressions,
+// certain compilers may get confused with the combination of conditional inheritance, nested classes and the shenanigans in is_Mat_fixed_only.
+// below we explicitly ensure the type is forced to be const, which seems to eliminate the confusion.
+template<typename T1>
+struct is_arma_type
+ {
+ static constexpr bool value = is_arma_type2<const T1>::value;
+ };
+
+
+
+template<typename T1>
+struct is_arma_cube_type
+ {
+ static constexpr 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
+ || is_subview_cube_slices<T1>::value
+ ;
+ };
+
+
+
+//
+//
+//
+
+
+
+template<typename T>
+struct is_SpMat
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_SpMat< SpMat<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_SpMat< SpCol<eT> >
+ { static constexpr bool value = true; };
+
+template<typename eT>
+struct is_SpMat< SpRow<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_SpRow
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_SpRow< SpRow<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_SpCol
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_SpCol< SpCol<eT> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T>
+struct is_SpSubview
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_SpSubview< SpSubview<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpSubview_col
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_SpSubview_col< SpSubview_col<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpSubview_col_list
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1>
+struct is_SpSubview_col_list< SpSubview_col_list<eT,T1> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpSubview_row
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_SpSubview_row< SpSubview_row<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_spdiagview
+ { static constexpr bool value = false; };
+
+template<typename eT>
+struct is_spdiagview< spdiagview<eT> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpOp
+ { static constexpr bool value = false; };
+
+template<typename T1, typename op_type>
+struct is_SpOp< SpOp<T1,op_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_SpGlue
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2, typename glue_type>
+struct is_SpGlue< SpGlue<T1,T2,glue_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_mtSpOp
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename spop_type>
+struct is_mtSpOp< mtSpOp<eT, T1, spop_type> >
+ { static constexpr bool value = true; };
+
+
+template<typename T>
+struct is_mtSpGlue
+ { static constexpr bool value = false; };
+
+template<typename eT, typename T1, typename T2, typename spglue_type>
+struct is_mtSpGlue< mtSpGlue<eT, T1, T2, spglue_type> >
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_arma_sparse_type
+ {
+ static constexpr bool value
+ = is_SpMat<T1>::value
+ || is_SpSubview<T1>::value
+ || is_SpSubview_col<T1>::value
+ || is_SpSubview_col_list<T1>::value
+ || is_SpSubview_row<T1>::value
+ || is_spdiagview<T1>::value
+ || is_SpOp<T1>::value
+ || is_SpGlue<T1>::value
+ || is_mtSpOp<T1>::value
+ || is_mtSpGlue<T1>::value
+ ;
+ };
+
+
+
+//
+//
+//
+
+
+template<typename T1, typename T2>
+struct is_same_type
+ {
+ static constexpr bool value = false;
+ static constexpr bool yes = false;
+ static constexpr bool no = true;
+ };
+
+
+template<typename T1>
+struct is_same_type<T1,T1>
+ {
+ static constexpr bool value = true;
+ static constexpr bool yes = true;
+ static constexpr bool no = false;
+ };
+
+
+
+//
+//
+//
+
+
+template<typename T1>
+struct is_u8
+ { static constexpr bool value = false; };
+
+template<>
+struct is_u8<u8>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_s8
+ { static constexpr bool value = false; };
+
+template<>
+struct is_s8<s8>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_u16
+ { static constexpr bool value = false; };
+
+template<>
+struct is_u16<u16>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_s16
+ { static constexpr bool value = false; };
+
+template<>
+struct is_s16<s16>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_u32
+ { static constexpr bool value = false; };
+
+template<>
+struct is_u32<u32>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_s32
+ { static constexpr bool value = false; };
+
+template<>
+struct is_s32<s32>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_u64
+ { static constexpr bool value = false; };
+
+template<>
+struct is_u64<u64>
+ { static constexpr bool value = true; };
+
+
+template<typename T1>
+struct is_s64
+ { static constexpr bool value = false; };
+
+template<>
+struct is_s64<s64>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_ulng_t
+ { static constexpr bool value = false; };
+
+template<>
+struct is_ulng_t<ulng_t>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_slng_t
+ { static constexpr bool value = false; };
+
+template<>
+struct is_slng_t<slng_t>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_ulng_t_32
+ { static constexpr bool value = false; };
+
+template<>
+struct is_ulng_t_32<ulng_t>
+ { static constexpr bool value = (sizeof(ulng_t) == 4); };
+
+
+
+template<typename T1>
+struct is_slng_t_32
+ { static constexpr bool value = false; };
+
+template<>
+struct is_slng_t_32<slng_t>
+ { static constexpr bool value = (sizeof(slng_t) == 4); };
+
+
+
+template<typename T1>
+struct is_ulng_t_64
+ { static constexpr bool value = false; };
+
+template<>
+struct is_ulng_t_64<ulng_t>
+ { static constexpr bool value = (sizeof(ulng_t) == 8); };
+
+
+
+template<typename T1>
+struct is_slng_t_64
+ { static constexpr bool value = false; };
+
+template<>
+struct is_slng_t_64<slng_t>
+ { static constexpr bool value = (sizeof(slng_t) == 8); };
+
+
+
+template<typename T1>
+struct is_uword
+ { static constexpr bool value = false; };
+
+template<>
+struct is_uword<uword>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_sword
+ { static constexpr bool value = false; };
+
+template<>
+struct is_sword<sword>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_float
+ { static constexpr bool value = false; };
+
+template<>
+struct is_float<float>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_double
+ { static constexpr bool value = false; };
+
+template<>
+struct is_double<double>
+ { static constexpr bool value = true; };
+
+
+
+template<typename T1>
+struct is_real
+ {
+ static constexpr bool value = false;
+ static constexpr bool yes = false;
+ static constexpr bool no = true;
+ };
+
+template<>
+struct is_real<float>
+ {
+ static constexpr bool value = true;
+ static constexpr bool yes = true;
+ static constexpr bool no = false;
+ };
+
+template<>
+struct is_real<double>
+ {
+ static constexpr bool value = true;
+ static constexpr bool yes = true;
+ static constexpr bool no = false;
+ };
+
+
+
+
+template<typename T1>
+struct is_cx
+ {
+ static constexpr bool value = false;
+ static constexpr bool yes = false;
+ static constexpr bool no = true;
+ };
+
+// template<>
+template<typename T>
+struct is_cx< std::complex<T> >
+ {
+ static constexpr bool value = true;
+ static constexpr bool yes = true;
+ static constexpr bool no = false;
+ };
+
+
+
+template<typename T1>
+struct is_cx_float
+ {
+ static constexpr bool value = false;
+ static constexpr bool yes = false;
+ static constexpr bool no = true;
+ };
+
+template<>
+struct is_cx_float< std::complex<float> >
+ {
+ static constexpr bool value = true;
+ static constexpr bool yes = true;
+ static constexpr bool no = false;
+ };
+
+
+
+template<typename T1>
+struct is_cx_double
+ {
+ static constexpr bool value = false;
+ static constexpr bool yes = false;
+ static constexpr bool no = true;
+ };
+
+template<>
+struct is_cx_double< std::complex<double> >
+ {
+ static constexpr bool value = true;
+ static constexpr bool yes = true;
+ static constexpr bool no = false;
+ };
+
+
+
+template<typename T1>
+struct is_supported_elem_type
+ {
+ static constexpr 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 ||
+ is_u64<T1>::value ||
+ is_s64<T1>::value ||
+ is_ulng_t<T1>::value ||
+ is_slng_t<T1>::value ||
+ is_float<T1>::value ||
+ is_double<T1>::value ||
+ is_cx_float<T1>::value ||
+ is_cx_double<T1>::value;
+ };
+
+
+
+template<typename T1>
+struct is_supported_blas_type
+ {
+ static constexpr bool value = \
+ is_float<T1>::value ||
+ is_double<T1>::value ||
+ is_cx_float<T1>::value ||
+ is_cx_double<T1>::value;
+ };
+
+
+
+template<typename T1>
+struct has_blas_float_bug
+ {
+ #if defined(ARMA_BLAS_FLOAT_BUG)
+ static constexpr bool value = is_float<typename get_pod_type<T1>::result>::value;
+ #else
+ static constexpr bool value = false;
+ #endif
+ };
+
+
+
+template<typename T>
+struct is_signed
+ {
+ static constexpr bool value = true;
+ };
+
+
+template<> struct is_signed<u8> { static constexpr bool value = false; };
+template<> struct is_signed<u16> { static constexpr bool value = false; };
+template<> struct is_signed<u32> { static constexpr bool value = false; };
+template<> struct is_signed<u64> { static constexpr bool value = false; };
+template<> struct is_signed<ulng_t> { static constexpr bool value = false; };
+
+
+template<typename T>
+struct is_non_integral
+ {
+ static constexpr bool value = false;
+ };
+
+
+template<> struct is_non_integral< float > { static constexpr bool value = true; };
+template<> struct is_non_integral< double > { static constexpr bool value = true; };
+template<> struct is_non_integral< std::complex<float> > { static constexpr bool value = true; };
+template<> struct is_non_integral< std::complex<double> > { static constexpr 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 constexpr bool value = false;
+ static constexpr bool yes = false;
+ static constexpr bool no = true;
+ };
+
+template<typename T1>
+struct resolves_to_vector_test
+ {
+ static constexpr bool value = (T1::is_col || T1::is_row || T1::is_xvec);
+ static constexpr bool yes = (T1::is_col || T1::is_row || T1::is_xvec);
+ static constexpr bool no = ((T1::is_col || T1::is_row || T1::is_xvec) == false);
+ };
+
+
+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 constexpr bool value = false; };
+
+template<typename T1>
+struct resolves_to_rowvector_test { static constexpr 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 constexpr bool value = false; };
+
+template<typename T1>
+struct resolves_to_colvector_test { static constexpr 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 T1>
+struct is_outer_product
+ { static constexpr bool value = false; };
+
+template<typename T1, typename T2>
+struct is_outer_product< Glue<T1,T2,glue_times> >
+ { static constexpr bool value = (resolves_to_colvector<T1>::value && resolves_to_rowvector<T2>::value); };
+
+
+
+template<typename T1>
+struct has_op_inv_any
+ { static constexpr bool value = false; };
+
+template<typename T1>
+struct has_op_inv_any< Op<T1,op_inv_gen_full> >
+ { static constexpr bool value = true; };
+
+template<typename T1>
+struct has_op_inv_any< Op<T1,op_inv_spd_full> >
+ { static constexpr bool value = true; };
+
+template<typename T1>
+struct has_op_inv_any< Op<T1,op_inv_gen_default> >
+ { static constexpr bool value = true; };
+
+template<typename T1>
+struct has_op_inv_any< Op<T1,op_inv_spd_default> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<Op<T1,op_inv_gen_full>, T2, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<Op<T1,op_inv_spd_full>, T2, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<Op<T1,op_inv_gen_default>, T2, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<Op<T1,op_inv_spd_default>, T2, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<T1, Op<T2,op_inv_gen_full>, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<T1, Op<T2,op_inv_spd_full>, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<T1, Op<T2,op_inv_gen_default>, glue_times> >
+ { static constexpr bool value = true; };
+
+template<typename T1, typename T2>
+struct has_op_inv_any< Glue<T1, Op<T2,op_inv_spd_default>, glue_times> >
+ { static constexpr bool value = true; };
+
+
+
+
+template<typename T>
+struct has_nested_op_traits
+ {
+ typedef char yes[1];
+ typedef char no[2];
+
+ template<typename X> static yes& check(typename X::template traits<void>*);
+ template<typename> static no& check(...);
+
+ static constexpr bool value = ( sizeof(check<T>(0)) == sizeof(yes) );
+ };
+
+template<typename T>
+struct has_nested_glue_traits
+ {
+ typedef char yes[1];
+ typedef char no[2];
+
+ template<typename X> static yes& check(typename X::template traits<void,void>*);
+ template<typename> static no& check(...);
+
+ static constexpr bool value = ( sizeof(check<T>(0)) == sizeof(yes) );
+ };
+
+
+//! @}
generated by cgit v1.2.1 (git 2.18.0) at 2024-11-22 16:05:56 +0100