// 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 fn_log_det
//! @{

//! log determinant of mat
template <typename T1>
inline bool log_det(
    typename T1::elem_type& out_val, typename T1::pod_type& out_sign,
    const Base<typename T1::elem_type, T1>& X,
    const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr) {
  arma_extra_debug_sigprint();
  arma_ignore(junk);

  typedef typename T1::elem_type eT;
  typedef typename T1::pod_type T;

  const bool status = op_log_det::apply_direct(out_val, out_sign, X.get_ref());

  if (status == false) {
    out_val = eT(Datum<T>::nan);
    out_sign = T(0);

    arma_debug_warn_level(3, "log_det(): failed to find determinant");
  }

  return status;
}

template <typename T1>
arma_warn_unused inline std::complex<typename T1::pod_type> log_det(
    const Base<typename T1::elem_type, T1>& X,
    const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr) {
  arma_extra_debug_sigprint();
  arma_ignore(junk);

  typedef typename T1::elem_type eT;
  typedef typename T1::pod_type T;

  eT out_val = eT(0);
  T out_sign = T(0);

  const bool status = op_log_det::apply_direct(out_val, out_sign, X.get_ref());

  if (status == false) {
    out_val = eT(Datum<T>::nan);
    out_sign = T(0);

    arma_stop_runtime_error("log_det(): failed to find determinant");
  }

  return (out_sign >= T(1)) ? std::complex<T>(out_val)
                            : (out_val + std::complex<T>(T(0), Datum<T>::pi));
}

//

template <typename T1>
inline bool log_det_sympd(
    typename T1::pod_type& out_val, const Base<typename T1::elem_type, T1>& X,
    const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr) {
  arma_extra_debug_sigprint();
  arma_ignore(junk);

  typedef typename T1::pod_type T;

  out_val = T(0);

  const bool status = op_log_det_sympd::apply_direct(out_val, X.get_ref());

  if (status == false) {
    out_val = Datum<T>::nan;

    arma_debug_warn_level(
        3, "log_det_sympd(): given matrix is not symmetric positive definite");
  }

  return status;
}

template <typename T1>
arma_warn_unused inline typename T1::pod_type log_det_sympd(
    const Base<typename T1::elem_type, T1>& X,
    const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr) {
  arma_extra_debug_sigprint();
  arma_ignore(junk);

  typedef typename T1::pod_type T;

  T out_val = T(0);

  const bool status = op_log_det_sympd::apply_direct(out_val, X.get_ref());

  if (status == false) {
    out_val = Datum<T>::nan;

    arma_stop_runtime_error(
        "log_det_sympd(): given matrix is not symmetric positive definite");
  }

  return out_val;
}

//! @}
