annotate armadillo-3.900.4/include/armadillo_bits/fn_solve.hpp @ 84:55a047986812 tip

Update library URI so as not to be document-local
author Chris Cannam
date Wed, 22 Apr 2020 14:21:57 +0100
parents 1ec0e2823891
children
rev   line source
Chris@49 1 // Copyright (C) 2009-2011 NICTA (www.nicta.com.au)
Chris@49 2 // Copyright (C) 2009-2011 Conrad Sanderson
Chris@49 3 //
Chris@49 4 // This Source Code Form is subject to the terms of the Mozilla Public
Chris@49 5 // License, v. 2.0. If a copy of the MPL was not distributed with this
Chris@49 6 // file, You can obtain one at http://mozilla.org/MPL/2.0/.
Chris@49 7
Chris@49 8
Chris@49 9 //! \addtogroup fn_solve
Chris@49 10 //! @{
Chris@49 11
Chris@49 12
Chris@49 13
Chris@49 14 //! Solve a system of linear equations, i.e., A*X = B, where X is unknown.
Chris@49 15 //! For a square matrix A, this function is conceptually the same as X = inv(A)*B,
Chris@49 16 //! but is done more efficiently.
Chris@49 17 //! The number of rows in A and B must be the same.
Chris@49 18 //! B can be either a column vector or a matrix.
Chris@49 19 //! This function will also try to provide approximate solutions
Chris@49 20 //! to under-determined as well as over-determined systems (non-square A matrices).
Chris@49 21
Chris@49 22 template<typename T1, typename T2>
Chris@49 23 inline
Chris@49 24 const Glue<T1, T2, glue_solve>
Chris@49 25 solve
Chris@49 26 (
Chris@49 27 const Base<typename T1::elem_type,T1>& A,
Chris@49 28 const Base<typename T1::elem_type,T2>& B,
Chris@49 29 const bool slow = false,
Chris@49 30 const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
Chris@49 31 )
Chris@49 32 {
Chris@49 33 arma_extra_debug_sigprint();
Chris@49 34 arma_ignore(junk);
Chris@49 35
Chris@49 36 return Glue<T1, T2, glue_solve>(A.get_ref(), B.get_ref(), ((slow == false) ? 0 : 1) );
Chris@49 37 }
Chris@49 38
Chris@49 39
Chris@49 40
Chris@49 41 template<typename T1, typename T2>
Chris@49 42 inline
Chris@49 43 const Glue<T1, T2, glue_solve_tr>
Chris@49 44 solve
Chris@49 45 (
Chris@49 46 const Op<T1, op_trimat>& A,
Chris@49 47 const Base<typename T1::elem_type,T2>& B,
Chris@49 48 const bool slow = false,
Chris@49 49 const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
Chris@49 50 )
Chris@49 51 {
Chris@49 52 arma_extra_debug_sigprint();
Chris@49 53 arma_ignore(slow);
Chris@49 54 arma_ignore(junk);
Chris@49 55
Chris@49 56 return Glue<T1, T2, glue_solve_tr>(A.m, B.get_ref(), A.aux_uword_a);
Chris@49 57 }
Chris@49 58
Chris@49 59
Chris@49 60
Chris@49 61 template<typename T1, typename T2>
Chris@49 62 inline
Chris@49 63 bool
Chris@49 64 solve
Chris@49 65 (
Chris@49 66 Mat<typename T1::elem_type>& out,
Chris@49 67 const Base<typename T1::elem_type,T1>& A,
Chris@49 68 const Base<typename T1::elem_type,T2>& B,
Chris@49 69 const bool slow = false,
Chris@49 70 const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
Chris@49 71 )
Chris@49 72 {
Chris@49 73 arma_extra_debug_sigprint();
Chris@49 74 arma_ignore(junk);
Chris@49 75
Chris@49 76 try
Chris@49 77 {
Chris@49 78 out = solve( A.get_ref(), B.get_ref(), slow );
Chris@49 79 }
Chris@49 80 catch(std::runtime_error&)
Chris@49 81 {
Chris@49 82 return false;
Chris@49 83 }
Chris@49 84
Chris@49 85 return true;
Chris@49 86 }
Chris@49 87
Chris@49 88
Chris@49 89
Chris@49 90 //! @}