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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 glue_trapz
+//! @{
+
+
+
+template<typename T1, typename T2>
+inline
+void
+glue_trapz::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_trapz>& in)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const uword dim = in.aux_uword;
+
+ const quasi_unwrap<T1> UX(in.A);
+ const quasi_unwrap<T2> UY(in.B);
+
+ if( UX.is_alias(out) || UY.is_alias(out) )
+ {
+ Mat<eT> tmp;
+
+ glue_trapz::apply_noalias(tmp, UX.M, UY.M, dim);
+
+ out.steal_mem(tmp);
+ }
+ else
+ {
+ glue_trapz::apply_noalias(out, UX.M, UY.M, dim);
+ }
+ }
+
+
+
+template<typename eT>
+inline
+void
+glue_trapz::apply_noalias(Mat<eT>& out, const Mat<eT>& X, const Mat<eT>& Y, const uword dim)
+ {
+ arma_extra_debug_sigprint();
+
+ arma_debug_check( (dim > 1), "trapz(): argument 'dim' must be 0 or 1" );
+
+ arma_debug_check( ((X.is_vec() == false) && (X.is_empty() == false)), "trapz(): argument 'X' must be a vector" );
+
+ const uword N = X.n_elem;
+
+ if(dim == 0)
+ {
+ arma_debug_check( (N != Y.n_rows), "trapz(): length of X must equal the number of rows in Y when dim=0" );
+ }
+ else
+ if(dim == 1)
+ {
+ arma_debug_check( (N != Y.n_cols), "trapz(): length of X must equal the number of columns in Y when dim=1" );
+ }
+
+ if(N <= 1)
+ {
+ if(dim == 0) { out.zeros(1, Y.n_cols); }
+ else if(dim == 1) { out.zeros(Y.n_rows, 1); }
+
+ return;
+ }
+
+ const Col<eT> vec_X( const_cast<eT*>(X.memptr()), X.n_elem, false, true );
+
+ const Col<eT> diff_X = diff(vec_X);
+
+ if(dim == 0)
+ {
+ const Row<eT> diff_X_t( const_cast<eT*>(diff_X.memptr()), diff_X.n_elem, false, true );
+
+ out = diff_X_t * (0.5 * (Y.rows(0, N-2) + Y.rows(1, N-1)));
+ }
+ else
+ if(dim == 1)
+ {
+ out = (0.5 * (Y.cols(0, N-2) + Y.cols(1, N-1))) * diff_X;
+ }
+ }
+
+
+
+template<typename T1>
+inline
+void
+op_trapz::apply(Mat<typename T1::elem_type>& out, const Op<T1,op_trapz>& in)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const uword dim = in.aux_uword_a;
+
+ const quasi_unwrap<T1> UY(in.m);
+
+ if(UY.is_alias(out))
+ {
+ Mat<eT> tmp;
+
+ op_trapz::apply_noalias(tmp, UY.M, dim);
+
+ out.steal_mem(tmp);
+ }
+ else
+ {
+ op_trapz::apply_noalias(out, UY.M, dim);
+ }
+ }
+
+
+
+template<typename eT>
+inline
+void
+op_trapz::apply_noalias(Mat<eT>& out, const Mat<eT>& Y, const uword dim)
+ {
+ arma_extra_debug_sigprint();
+
+ arma_debug_check( (dim > 1), "trapz(): argument 'dim' must be 0 or 1" );
+
+ uword N = 0;
+
+ if(dim == 0) { N = Y.n_rows; }
+ else if(dim == 1) { N = Y.n_cols; }
+
+ if(N <= 1)
+ {
+ if(dim == 0) { out.zeros(1, Y.n_cols); }
+ else if(dim == 1) { out.zeros(Y.n_rows, 1); }
+
+ return;
+ }
+
+ if(dim == 0)
+ {
+ out = sum( (0.5 * (Y.rows(0, N-2) + Y.rows(1, N-1))), 0 );
+ }
+ else
+ if(dim == 1)
+ {
+ out = sum( (0.5 * (Y.cols(0, N-2) + Y.cols(1, N-1))), 1 );
+ }
+ }
+
+
+
+//! @}