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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 op_cond
+//! @{
+
+
+
+template<typename T1>
+inline
+typename T1::pod_type
+op_cond::apply(const Base<typename T1::elem_type, T1>& X)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+ typedef typename T1::pod_type T;
+
+ Mat<eT> A(X.get_ref());
+
+ if(A.n_elem == 0) { return T(0); }
+
+ if(is_op_diagmat<T1>::value || A.is_diagmat())
+ {
+ arma_extra_debug_print("op_cond::apply(): detected diagonal matrix");
+
+ return op_cond::apply_diag(A);
+ }
+
+ bool is_approx_sym = false;
+ bool is_approx_sympd = false;
+
+ sym_helper::analyse_matrix(is_approx_sym, is_approx_sympd, A);
+
+ const bool do_sym = (is_cx<eT>::no) ? (is_approx_sym) : (is_approx_sym && is_approx_sympd);
+
+ if(do_sym)
+ {
+ arma_extra_debug_print("op_cond: symmetric/hermitian optimisation");
+
+ return op_cond::apply_sym(A);
+ }
+
+ return op_cond::apply_gen(A);
+ }
+
+
+
+template<typename eT>
+inline
+typename get_pod_type<eT>::result
+op_cond::apply_diag(const Mat<eT>& A)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename get_pod_type<eT>::result T;
+
+ const uword N = (std::min)(A.n_rows, A.n_cols);
+
+ T abs_min = Datum<T>::inf;
+ T abs_max = T(0);
+
+ for(uword i=0; i < N; ++i)
+ {
+ const T abs_val = std::abs(A.at(i,i));
+
+ if(arma_isnan(abs_val))
+ {
+ arma_debug_warn_level(3, "cond(): failed");
+
+ return Datum<T>::nan;
+ }
+
+ abs_min = (abs_val < abs_min) ? abs_val : abs_min;
+ abs_max = (abs_val > abs_max) ? abs_val : abs_max;
+ }
+
+ if((abs_min == T(0)) || (abs_max == T(0))) { return Datum<T>::inf; }
+
+ return T(abs_max / abs_min);
+ }
+
+
+
+template<typename eT>
+inline
+typename get_pod_type<eT>::result
+op_cond::apply_sym(Mat<eT>& A)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename get_pod_type<eT>::result T;
+
+ Col<T> eigval;
+
+ const bool status = auxlib::eig_sym(eigval, A);
+
+ if(status == false)
+ {
+ arma_debug_warn_level(3, "cond(): failed");
+
+ return Datum<T>::nan;
+ }
+
+ if(eigval.n_elem == 0) { return T(0); }
+
+ const T* eigval_mem = eigval.memptr();
+
+ T abs_min = std::abs(eigval_mem[0]);
+ T abs_max = abs_min;
+
+ for(uword i=1; i < eigval.n_elem; ++i)
+ {
+ const T abs_val = std::abs(eigval_mem[i]);
+
+ abs_min = (abs_val < abs_min) ? abs_val : abs_min;
+ abs_max = (abs_val > abs_max) ? abs_val : abs_max;
+ }
+
+ if((abs_min == T(0)) || (abs_max == T(0))) { return Datum<T>::inf; }
+
+ return T(abs_max / abs_min);
+ }
+
+
+
+template<typename eT>
+inline
+typename get_pod_type<eT>::result
+op_cond::apply_gen(Mat<eT>& A)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename get_pod_type<eT>::result T;
+
+ Col<T> S;
+
+ const bool status = auxlib::svd_dc(S, A);
+
+ if(status == false)
+ {
+ arma_debug_warn_level(3, "cond(): failed");
+
+ return Datum<T>::nan;
+ }
+
+ if(S.n_elem == 0) { return T(0); }
+
+ const T S_max = S[0];
+ const T S_min = S[S.n_elem-1];
+
+ if((S_max == T(0)) || (S_min == T(0))) { return Datum<T>::inf; }
+
+ return T(S_max / S_min);
+ }
+
+
+
+//! @}