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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 | // divpol.h: declaration of functions for division polynomials
//////////////////////////////////////////////////////////////////////////
//
// 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
//
//////////////////////////////////////////////////////////////////////////
// allow for multiple includes
#ifndef _DIVPOL_
#define _DIVPOL_
// These functions return the vector of coefficients (starting with
// the constant term) rather than polynomial types
// div_pol_odd(a1,a2,a3,a4,a6,n) returns the coefficients of the
// polynomial in x whose zeros are the (x-coordinates of the) non-zero
// points P on E=[a1,a2,a3,a4,a6] satisfying nP=0 (odd n)
// The poly itself is found recursively
vector<bigint> div_pol_odd(const bigint& a1,const bigint& a2,const bigint& a3,const bigint& a4,
const bigint& a6,int n);
vector<bigint> makepdivpol(Curvedata* EE, int p);
#endif // #define _DIVPOL_
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