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// 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::cond(const Base<typename T1::elem_type, T1>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Col<T> S;
const bool status = auxlib::svd_dc(S, X);
if(status == false)
{
arma_debug_warn("cond(): svd failed");
return T(0);
}
return (S.n_elem > 0) ? T( max(S) / min(S) ) : T(0);
}
template<typename T1>
inline
typename T1::pod_type
op_cond::rcond(const Base<typename T1::elem_type, T1>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
typedef typename T1::pod_type T;
if(strip_trimat<T1>::do_trimat)
{
const strip_trimat<T1> S(X.get_ref());
const quasi_unwrap<typename strip_trimat<T1>::stored_type> U(S.M);
arma_debug_check( (U.M.is_square() == false), "rcond(): matrix must be square sized" );
const uword layout = (S.do_triu) ? uword(0) : uword(1);
return auxlib::rcond_trimat(U.M, layout);
}
Mat<eT> A = X.get_ref();
arma_debug_check( (A.is_square() == false), "rcond(): matrix must be square sized" );
if(A.is_empty()) { return Datum<T>::inf; }
const bool is_triu = trimat_helper::is_triu(A);
const bool is_tril = (is_triu) ? false : trimat_helper::is_tril(A);
if(is_triu || is_tril)
{
const uword layout = (is_triu) ? uword(0) : uword(1);
return auxlib::rcond_trimat(A, layout);
}
#if defined(ARMA_OPTIMISE_SYMPD)
const bool try_sympd = auxlib::crippled_lapack(A) ? false : sympd_helper::guess_sympd_anysize(A);
#else
const bool try_sympd = false;
#endif
if(try_sympd)
{
bool calc_ok = false;
const T out_val = auxlib::rcond_sympd(A, calc_ok);
if(calc_ok) { return out_val; }
// auxlib::rcond_sympd() may have failed because A isn't really sympd
// restore A, as auxlib::rcond_sympd() may have destroyed it
A = X.get_ref();
// fallthrough to the next return statement
}
return auxlib::rcond(A);
}
//! @}
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