arb/dirichlet/pairing.c

34 lines
843 B
C

/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "dirichlet.h"
ulong
dirichlet_pairing(const dirichlet_group_t G, ulong m, ulong n)
{
ulong x;
dirichlet_char_t a, b;
if (n_gcd(G->q, m) > 1 || n_gcd(G->q, n) > 1)
return DIRICHLET_CHI_NULL;
dirichlet_char_init(a, G);
dirichlet_char_init(b, G);
dirichlet_char_log(a, G, m);
dirichlet_char_log(b, G, n);
x = dirichlet_pairing_char(G, a, b);
dirichlet_char_clear(a);
dirichlet_char_clear(b);
return x;
}