/usr/include/linbox/solutions/trace.inl is in liblinbox-dev 1.4.2-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 | /* linbox/solutions/trace.inl
* Copyright(C) LinBox
* Evolved from an earlier one by Bradford Hovinen <hovinen@cis.udel.edu>
* -bds
*
*
* ========LICENCE========
* This file is part of the library LinBox.
*
* LinBox is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
* ========LICENCE========
*.
*/
#ifndef __LINBOX_trace_INL
#define __LINBOX_trace_INL
#include <vector>
#include "linbox/blackbox/scalar-matrix.h"
#include "linbox/blackbox/toeplitz.h"
#include "linbox/solutions/getentry.h"
#include "linbox/solutions/solution-tags.h"
namespace LinBox
{
// the unspecialized trace category
template<class BB> struct TraceCategory { typedef SolutionTags::Generic Tag; };
template <class BB>
typename BB::Field::Element& trace(typename BB::Field::Element& t, const BB& A)
{
typename TraceCategory<BB>::Tag tt;
return trace(t, A, tt);
}
/* Generic approach. It will be efficient for BBs with efficient getEntry.
If getEntry is constant time on n by n BB's, trace will be in O(n).
*/
template <class BB>
typename BB::Field::Element& trace(typename BB::Field::Element& t, const BB& A, SolutionTags::Generic tt)
{
typename BB::Field::Element x;
A.field().assign(x, A.field().zero);
A.field().assign(t, A.field().zero);
for (size_t i = 0; i < A.coldim(); ++i)
A.field().addin(t, getEntry(x,A,i,i));
return t;
}
/* Specialization for BB's with local trace function.
Allows constant time trace for, eg., ScalarMatrix, Toeplitz.
*/
template <class BB>
typename BB::Field::Element & trace(typename BB::Field::Element & t, const BB& A, SolutionTags::Local tt)
{ return A.trace(t); }
} // namespace LinBox
#endif // __LINBOX_trace_INL
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