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Diffstat (limited to 'src/armadillo/include/armadillo_bits/op_cond_meat.hpp')
-rw-r--r-- | src/armadillo/include/armadillo_bits/op_cond_meat.hpp | 174 |
1 files changed, 174 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/op_cond_meat.hpp b/src/armadillo/include/armadillo_bits/op_cond_meat.hpp new file mode 100644 index 0000000..f73ef9a --- /dev/null +++ b/src/armadillo/include/armadillo_bits/op_cond_meat.hpp @@ -0,0 +1,174 @@ +// 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); + } + + + +//! @} |