comparison armadillo-2.4.4/include/armadillo_bits/fn_log_det.hpp @ 0:8b6102e2a9b0

Armadillo Library
author maxzanoni76 <max.zanoni@eecs.qmul.ac.uk>
date Wed, 11 Apr 2012 09:27:06 +0100
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1 // Copyright (C) 2010-2011 NICTA (www.nicta.com.au)
2 // Copyright (C) 2010-2011 Conrad Sanderson
3 //
4 // This file is part of the Armadillo C++ library.
5 // It is provided without any warranty of fitness
6 // for any purpose. You can redistribute this file
7 // and/or modify it under the terms of the GNU
8 // Lesser General Public License (LGPL) as published
9 // by the Free Software Foundation, either version 3
10 // of the License or (at your option) any later version.
11 // (see http://www.opensource.org/licenses for more info)
12
13
14 //! \addtogroup fn_log_det
15 //! @{
16
17
18
19 //! log determinant of mat
20 template<typename T1>
21 inline
22 bool
23 log_det
24 (
25 typename T1::elem_type& out_val,
26 typename T1::pod_type& out_sign,
27 const Base<typename T1::elem_type,T1>& X,
28 const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
29 )
30 {
31 arma_extra_debug_sigprint();
32 arma_ignore(junk);
33
34 return auxlib::log_det(out_val, out_sign, X);
35 }
36
37
38
39 template<typename T1>
40 inline
41 void
42 log_det
43 (
44 typename T1::elem_type& out_val,
45 typename T1::pod_type& out_sign,
46 const Op<T1,op_diagmat>& X,
47 const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
48 )
49 {
50 arma_extra_debug_sigprint();
51 arma_ignore(junk);
52
53 typedef typename T1::elem_type eT;
54 typedef typename T1::pod_type T;
55
56 const diagmat_proxy<T1> A(X.m);
57
58 const uword N = A.n_elem;
59
60 if(N == 0)
61 {
62 out_val = eT(0);
63 out_sign = T(1);
64
65 return;
66 }
67
68 const eT x = A[0];
69
70 T sign = (is_complex<eT>::value == false) ? ( (access::tmp_real(x) < T(0)) ? -1 : +1 ) : +1;
71 eT val = (is_complex<eT>::value == false) ? std::log( (access::tmp_real(x) < T(0)) ? x*T(-1) : x ) : std::log(x);
72
73 for(uword i=1; i<N; ++i)
74 {
75 const eT x = A[i];
76
77 sign *= (is_complex<eT>::value == false) ? ( (access::tmp_real(x) < T(0)) ? -1 : +1 ) : +1;
78 val += (is_complex<eT>::value == false) ? std::log( (access::tmp_real(x) < T(0)) ? x*T(-1) : x ) : std::log(x);
79 }
80
81 out_val = val;
82 out_sign = sign;
83 }
84
85
86
87 //! @}