// SPDX-License-Identifier: Apache-2.0
// 
// Copyright 2008-2016 Conrad Sanderson (https://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
// https://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_orth_null
//! @{



template<typename T1>
arma_warn_unused
inline
typename enable_if2< is_blas_real<typename T1::pod_type>::value, const Op<T1, op_orth> >::result
orth(const Base<typename T1::elem_type, T1>& X, const typename T1::pod_type tol = 0.0)
  {
  arma_debug_sigprint();
  
  typedef typename T1::elem_type eT;
  
  return Op<T1, op_orth>(X.get_ref(), eT(tol));
  }



template<typename T1>
inline
typename enable_if2< is_blas_real<typename T1::pod_type>::value, bool >::result
orth(Mat<typename T1::elem_type>& out, const Base<typename T1::elem_type, T1>& X, const typename T1::pod_type tol = 0.0)
  {
  arma_debug_sigprint();
  
  const bool status = op_orth::apply_direct(out, X.get_ref(), tol);
  
  if(status == false)
    {
    out.soft_reset();
    arma_warn(3, "orth(): svd failed");
    }
  
  return status;
  }



//



template<typename T1>
arma_warn_unused
inline
typename enable_if2< is_blas_real<typename T1::pod_type>::value, const Op<T1, op_null> >::result
null(const Base<typename T1::elem_type, T1>& X, const typename T1::pod_type tol = 0.0)
  {
  arma_debug_sigprint();
  
  typedef typename T1::elem_type eT;
  
  return Op<T1, op_null>(X.get_ref(), eT(tol));
  }



template<typename T1>
inline
typename enable_if2< is_blas_real<typename T1::pod_type>::value, bool >::result
null(Mat<typename T1::elem_type>& out, const Base<typename T1::elem_type, T1>& X, const typename T1::pod_type tol = 0.0)
  {
  arma_debug_sigprint();
  
  const bool status = op_null::apply_direct(out, X.get_ref(), tol);
  
  if(status == false)
    {
    out.soft_reset();
    arma_warn(3, "null(): svd failed");
    }
  
  return status;
  }



//! @}