/usr/include/eclib/msubspace.h is in libec-dev 2013-01-01-1.
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 83 84 85 86 87 88 89 | // msubspace.h: declarations of multiprecision subspace class
//////////////////////////////////////////////////////////////////////////
//
// Copyright 1990-2012 John Cremona
//
// This file is part of the mwrank package.
//
// mwrank is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by the
// Free Software Foundation; either version 2 of the License, or (at your
// option) any later version.
//
// mwrank 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 General Public License
// for more details.
//
// You should have received a copy of the GNU General Public License
// along with mwrank; if not, write to the Free Software Foundation,
// Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
//
//////////////////////////////////////////////////////////////////////////
#if !defined(_MSUBSPACE_H)
#define _MSUBSPACE_H 1 //flags that this file has been included
#include "mmatrix.h"
class msubspace {
public:
// constructors
msubspace(int n=0)
:pivots(iota(n)),basis(midmat(n)) {denom=1;}
msubspace(const mat_m& b, const vec_i& p, const bigint& d)
:denom(d),pivots(p),basis(b) {}
msubspace(const msubspace& s)
:denom(s.denom),pivots(s.pivots),basis(s.basis) {}
// destructor
~msubspace() {;}
// assignment
void operator=(const msubspace& s)
{pivots=s.pivots; basis=s.basis; denom=s.denom;}
// member functions & operators
void clear() { pivots.init(); basis.init();}
// non-member (friend) functions and operators
friend int dim(const msubspace& s); // the dimension
friend bigint denom(const msubspace& s); // the denominator
friend vec_i pivots(const msubspace& s);// the pivot vector
friend mat_m basis(const msubspace& s) ;// the basis matrix
friend msubspace combine(const msubspace& s1, const msubspace& s2);
friend mat_m restrict_mat(const mat_m& m, const msubspace& s);
friend msubspace pcombine(const msubspace& s1, const msubspace& s2, const bigint& pr);
friend mat_m prestrict(const mat_m& m, const msubspace& s, const bigint& pr);
friend msubspace lift(const msubspace& s, const bigint& pr, int trace);
// Implementation
private:
bigint denom;
vec_i pivots;
mat_m basis;
};
// Declarations of nonmember, nonfriend operators and functions:
msubspace kernel(const mat_m& mat, int method=0);
msubspace image(const mat_m& mat, int method=0);
msubspace eigenspace(const mat_m& mat, const bigint& lambda, int method=0);
msubspace subeigenspace(const mat_m& mat, const bigint& l, const msubspace& s, int method=0);
//The following work with msubspaces "mod p" using "echmodp" from
//mmatrix.h/cc to do gaussian elimination. The "denom" of each is 1.
msubspace pkernel(const mat_m& mat, const bigint& pr);
msubspace pimage(const mat_m& mat, const bigint& pr);
msubspace peigenspace(const mat_m& mat, const bigint& lambda, const bigint& pr);
msubspace psubeigenspace(const mat_m& mat, const bigint& l, const msubspace& s, const bigint& pr);
inline int dim(const msubspace& s) {return ncols(s.basis);} // the dimension
inline bigint denom(const msubspace& s) {return s.denom;} // the denominator
inline vec_i pivots(const msubspace& s) {return s.pivots;} // the pivot vector
inline mat_m basis(const msubspace& s) {return s.basis;} // the basis matrix
#endif
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