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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 fn_eigs_gen
//! @{
//! eigenvalues of general sparse matrix X
template<typename T1>
arma_warn_unused
inline
typename enable_if2< is_real<typename T1::pod_type>::value, Col< std::complex<typename T1::pod_type> > >::result
eigs_gen
(
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const char* form = "lm",
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Mat< std::complex<T> > eigvec;
Col< std::complex<T> > eigval;
sp_auxlib::form_type form_val = sp_auxlib::interpret_form_str(form);
const bool status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, form_val, opts);
if(status == false)
{
eigval.soft_reset();
arma_stop_runtime_error("eigs_gen(): decomposition failed");
}
return eigval;
}
//! this form is deprecated; use eigs_gen(X, n_eigvals, form, opts) instead
template<typename T1>
arma_deprecated
inline
typename enable_if2< is_real<typename T1::pod_type>::value, Col< std::complex<typename T1::pod_type> > >::result
eigs_gen
(
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const char* form,
const typename T1::pod_type tol
)
{
arma_extra_debug_sigprint();
eigs_opts opts;
opts.tol = tol;
return eigs_gen(X, n_eigvals, form, opts);
}
template<typename T1>
arma_warn_unused
inline
typename enable_if2< is_real<typename T1::pod_type>::value, Col< std::complex<typename T1::pod_type> > >::result
eigs_gen
(
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const std::complex<typename T1::pod_type> sigma,
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Mat< std::complex<T> > eigvec;
Col< std::complex<T> > eigval;
bool status = false;
// If X is real and sigma is truly complex, treat X as complex.
// The reason is that we are still not able to apply truly complex shifts to real matrices
if( (is_real<typename T1::elem_type>::yes) && (std::imag(sigma) != T(0)) )
{
status = sp_auxlib::eigs_gen(eigval, eigvec, conv_to< SpMat< std::complex<T> > >::from(X), n_eigvals, sigma, opts);
}
else
{
status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, sigma, opts);
}
if(status == false)
{
eigval.soft_reset();
arma_stop_runtime_error("eigs_gen(): decomposition failed");
}
return eigval;
}
template<typename T1>
arma_warn_unused
inline
typename enable_if2< is_real<typename T1::pod_type>::value, Col< std::complex<typename T1::pod_type> > >::result
eigs_gen
(
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const double sigma,
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Mat< std::complex<T> > eigvec;
Col< std::complex<T> > eigval;
const bool status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, std::complex<T>(T(sigma)), opts);
if(status == false)
{
eigval.soft_reset();
arma_stop_runtime_error("eigs_gen(): decomposition failed");
}
return eigval;
}
//! eigenvalues of general sparse matrix X
template<typename T1>
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const char* form = "lm",
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Mat< std::complex<T> > eigvec;
sp_auxlib::form_type form_val = sp_auxlib::interpret_form_str(form);
const bool status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, form_val, opts);
if(status == false)
{
eigval.soft_reset();
arma_debug_warn_level(3, "eigs_gen(): decomposition failed");
}
return status;
}
//! this form is deprecated; use eigs_gen(eigval, X, n_eigvals, form, opts) instead
template<typename T1>
arma_deprecated
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const char* form,
const typename T1::pod_type tol
)
{
arma_extra_debug_sigprint();
eigs_opts opts;
opts.tol = tol;
return eigs_gen(eigval, X, n_eigvals, form, opts);
}
template<typename T1>
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const std::complex<typename T1::pod_type> sigma,
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Mat< std::complex<T> > eigvec;
bool status = false;
// If X is real and sigma is truly complex, treat X as complex.
// The reason is that we are still not able to apply truly complex shifts to real matrices
if( (is_real<typename T1::elem_type>::yes) && (std::imag(sigma) != T(0)) )
{
status = sp_auxlib::eigs_gen(eigval, eigvec, conv_to< SpMat< std::complex<T> > >::from(X), n_eigvals, sigma, opts);
}
else
{
status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, sigma, opts);
}
if(status == false)
{
eigval.soft_reset();
arma_debug_warn_level(3, "eigs_gen(): decomposition failed");
}
return status;
}
template<typename T1>
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const double sigma,
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
Mat< std::complex<T> > eigvec;
const bool status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, std::complex<T>(T(sigma)), opts);
if(status == false)
{
eigval.soft_reset();
arma_debug_warn_level(3, "eigs_gen(): decomposition failed");
}
return status;
}
//! eigenvalues and eigenvectors of general sparse matrix X
template<typename T1>
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
Mat< std::complex<typename T1::pod_type> >& eigvec,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const char* form = "lm",
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
// typedef typename T1::pod_type T;
arma_debug_check( void_ptr(&eigval) == void_ptr(&eigvec), "eigs_gen(): parameter 'eigval' is an alias of parameter 'eigvec'" );
sp_auxlib::form_type form_val = sp_auxlib::interpret_form_str(form);
const bool status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, form_val, opts);
if(status == false)
{
eigval.soft_reset();
eigvec.soft_reset();
arma_debug_warn_level(3, "eigs_gen(): decomposition failed");
}
return status;
}
//! this form is deprecated; use eigs_gen(eigval, eigvec, X, n_eigvals, form, opts) instead
template<typename T1>
arma_deprecated
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
Mat< std::complex<typename T1::pod_type> >& eigvec,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const char* form,
const typename T1::pod_type tol
)
{
arma_extra_debug_sigprint();
eigs_opts opts;
opts.tol = tol;
return eigs_gen(eigval, eigvec, X, n_eigvals, form, opts);
}
template<typename T1>
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
Mat< std::complex<typename T1::pod_type> >& eigvec,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const std::complex<typename T1::pod_type> sigma,
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
arma_debug_check( void_ptr(&eigval) == void_ptr(&eigvec), "eigs_gen(): parameter 'eigval' is an alias of parameter 'eigvec'" );
bool status = false;
// If X is real and sigma is truly complex, treat X as complex.
// The reason is that we are still not able to apply truly complex shifts to real matrices
if( (is_real<typename T1::elem_type>::yes) && (std::imag(sigma) != T(0)) )
{
status = sp_auxlib::eigs_gen(eigval, eigvec, conv_to< SpMat< std::complex<T> > >::from(X), n_eigvals, sigma, opts);
}
else
{
status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, sigma, opts);
}
if(status == false)
{
eigval.soft_reset();
eigvec.soft_reset();
arma_debug_warn_level(3, "eigs_gen(): decomposition failed");
}
return status;
}
template<typename T1>
inline
typename enable_if2< is_real<typename T1::pod_type>::value, bool >::result
eigs_gen
(
Col< std::complex<typename T1::pod_type> >& eigval,
Mat< std::complex<typename T1::pod_type> >& eigvec,
const SpBase<typename T1::elem_type, T1>& X,
const uword n_eigvals,
const double sigma,
const eigs_opts opts = eigs_opts()
)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
arma_debug_check( void_ptr(&eigval) == void_ptr(&eigvec), "eigs_gen(): parameter 'eigval' is an alias of parameter 'eigvec'" );
const bool status = sp_auxlib::eigs_gen(eigval, eigvec, X, n_eigvals, std::complex<T>(T(sigma)), opts);
if(status == false)
{
eigval.soft_reset();
eigvec.soft_reset();
arma_debug_warn_level(3, "eigs_gen(): decomposition failed");
}
return status;
}
//! @}
|
