143 lines
3.6 KiB
C++
143 lines
3.6 KiB
C++
// SPDX-License-Identifier: Apache-2.0
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//
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// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
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// Copyright 2008-2016 National ICT Australia (NICTA)
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// ------------------------------------------------------------------------
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//! \addtogroup fn_syl_lyap
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//! @{
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//! find the solution of the Sylvester equation AX + XB = C
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template<typename T1, typename T2, typename T3>
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inline
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bool
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sylvester
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(
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Mat <typename T1::elem_type> & out,
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const Base<typename T1::elem_type,T1>& in_A,
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const Base<typename T1::elem_type,T2>& in_B,
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const Base<typename T1::elem_type,T3>& in_C,
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const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr
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)
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{
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arma_debug_sigprint();
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arma_ignore(junk);
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typedef typename T1::elem_type eT;
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const unwrap_check<T1> tmp_A(in_A.get_ref(), out);
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const unwrap_check<T2> tmp_B(in_B.get_ref(), out);
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const unwrap_check<T3> tmp_C(in_C.get_ref(), out);
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const Mat<eT>& A = tmp_A.M;
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const Mat<eT>& B = tmp_B.M;
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const Mat<eT>& C = tmp_C.M;
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const bool status = auxlib::sylvester(out, A, B, C);
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if(status == false)
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{
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out.soft_reset();
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arma_warn(3, "sylvester(): solution not found");
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}
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return status;
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}
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// kept for compatibility with old user code
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template<typename T1, typename T2, typename T3>
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arma_frown("use sylvester() instead")
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inline
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bool
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syl
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(
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Mat <typename T1::elem_type> & out,
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const Base<typename T1::elem_type,T1>& in_A,
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const Base<typename T1::elem_type,T2>& in_B,
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const Base<typename T1::elem_type,T3>& in_C,
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const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr
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)
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{
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arma_ignore(junk);
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return sylvester(out, in_A, in_B, in_C);
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}
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template<typename T1, typename T2, typename T3>
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arma_warn_unused
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inline
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Mat<typename T1::elem_type>
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sylvester
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(
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const Base<typename T1::elem_type,T1>& in_A,
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const Base<typename T1::elem_type,T2>& in_B,
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const Base<typename T1::elem_type,T3>& in_C,
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const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr
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)
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{
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arma_debug_sigprint();
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arma_ignore(junk);
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typedef typename T1::elem_type eT;
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const unwrap<T1> tmp_A( in_A.get_ref() );
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const unwrap<T2> tmp_B( in_B.get_ref() );
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const unwrap<T3> tmp_C( in_C.get_ref() );
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const Mat<eT>& A = tmp_A.M;
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const Mat<eT>& B = tmp_B.M;
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const Mat<eT>& C = tmp_C.M;
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Mat<eT> out;
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const bool status = auxlib::sylvester(out, A, B, C);
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if(status == false)
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{
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out.soft_reset();
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arma_stop_runtime_error("sylvester(): solution not found");
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}
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return out;
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}
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// kept for compatibility with old user code
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template<typename T1, typename T2, typename T3>
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arma_frown("use sylvester() instead")
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inline
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Mat<typename T1::elem_type>
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syl
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(
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const Base<typename T1::elem_type,T1>& in_A,
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const Base<typename T1::elem_type,T2>& in_B,
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const Base<typename T1::elem_type,T3>& in_C,
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const typename arma_blas_type_only<typename T1::elem_type>::result* junk = nullptr
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)
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{
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arma_ignore(junk);
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return sylvester(in_A, in_B, in_C);
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}
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//! @}
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