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// tegr.cc -- test for finding egr subgroup from a set of points
//////////////////////////////////////////////////////////////////////////
//
// Copyright 1990-2012 John Cremona
//
// This file is part of the eclib package.
//
// eclib 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.
//
// eclib 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 eclib; if not, write to the Free Software Foundation,
// Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
//
//////////////////////////////////////////////////////////////////////////
//
#include <eclib/matrix.h>
#include <eclib/cperiods.h>
#include <eclib/points.h>
#include <eclib/sieve_search.h>
#include <eclib/cperiods.h>
#include <eclib/elog.h>
#include <eclib/egr.h>
#include <eclib/htconst.h>
#include <eclib/curvesort.h>
int main()
{
// set_precision("Enter precision in bits");
initprimes("PRIMES",0);
int j, npts;
long N, nclass, ncurve;
Curve E;
while(1) {
cin >> N; if(N==0) exit(0);
cin >> nclass >> ncurve;
cin >> E;
Curvedata C(E);
cout<<endl;
cout<<"==============================================================="<<endl;
cout<<endl;
cout << N<<codeletter(nclass-1)<<ncurve<<" = "<< E << endl;
Point P(C);
cin >> npts;
vector<Point> points; points.reserve(npts);
j=0;
while(j<npts)
{
cin >> P;
if ( P.isvalid() ) {points.push_back(P); j++;}
else {cout<<"point "<<P<<" not on curve.\n\n"; }
}
cout<<npts<<" points entered:"<<points<<endl;
// bigfloat reg = regulator(points);
// cout<<"Regulator = "<<reg<<endl;
bigint tam = Tamagawa_exponent(C);
cout<<"Tamagawa exponent = "<<tam<<endl;
vector<Point> egr_points=points;
bigint egri = egr_index(egr_points);
cout<<"Index of egr subgroup = "<<egri<<endl;
}
}
//end of file tegr.cc
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