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authorNao Pross <np@0hm.ch>2024-02-12 14:52:43 +0100
committerNao Pross <np@0hm.ch>2024-02-12 14:52:43 +0100
commiteda5bc26f44ee9a6f83dcf8c91f17296d7fc509d (patch)
treebc2efa38ff4e350f9a111ac87065cd7ae9a911c7 /src/armadillo/include/armadillo_bits/fn_eigs_gen.hpp
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Move into version control
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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;
+ }
+
+
+
+//! @}