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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 | // file fixc6.h: declaration of class for "fixing" large c6 values
//////////////////////////////////////////////////////////////////////////
//
// 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
//
//////////////////////////////////////////////////////////////////////////
// Background: for curves with large c6, the value cannot be computed
// with sufficient precision without using multiprecision floating
// point arithmetic, which slows down all the other cases
// unnecessarily. To avoid this, after first computing the "correct"
// c6 value once in multiprecision, we add that value to a table
// indexed by (level, form#), and look up in the table when we need
// the value.
// The fixc6 class has two static data members, of type map<
// pair<long,int>, bigint> such that an entry ((N,i),c6) or ((N,i),c4)
// says that the c6 or c4 value for form i at level N is c6 or c4. Of
// course, for most (N,i) pairs this is blank -- and we must avoid
// inserting wrong dummy entries of the form ((N,i),0).
// April 2005: added facility for fixing c4 as well as c6, but the
// class name is unchanged
class fixc6 {
static map< pair<long,int>, bigint > fixc4table;
static map< pair<long,int>, bigint > fixc6table;
public:
fixc6(); // global initializer, see fixc6.cc
void operator()(long N, int i, bigint& c4, bigint& c6);
// look up value, changes c4 and/or c6 if there's an entry in the table,
// otherwise leaves unchanged
};
extern fixc6 c4c6fixer; // the one and only instance of the class
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