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arb/dirichlet/ui_parity.c

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update licence
2016-09-06 15:32:23 +02:00
/*
huge refactor - split files, one for each function - use acb_dirichlet prefix everywhere - distinguish pairing / character value + fix bug on exponent
2016-03-22 11:29:21 +01:00
Copyright (C) 2016 Pascal Molin
[dirichlet] add conrey type to handle logs + char type - try to handle even and odd components the same way in the dirichlet group - switch from phi_q_odd to smaller expo = exponent of the group all character orders divide this number, and a character of that order exists - use conrey logarithm to reuse log and to loop efficiently over the group (see the diff on l.c, only 1 log in computed instead of 2 * q) - NOT TESTED, for the moment it just compiles, I know some errors (e.g. the FIXME in group_init.c : the generators have to be lifted mod q) this commit is just a proof of concept.
2016-02-24 11:06:49 +01:00
update licence
2016-09-06 15:32:23 +02:00
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/>.
*/
[dirichlet] add conrey type to handle logs + char type - try to handle even and odd components the same way in the dirichlet group - switch from phi_q_odd to smaller expo = exponent of the group all character orders divide this number, and a character of that order exists - use conrey logarithm to reuse log and to loop efficiently over the group (see the diff on l.c, only 1 log in computed instead of 2 * q) - NOT TESTED, for the moment it just compiles, I know some errors (e.g. the FIXME in group_init.c : the generators have to be lifted mod q) this commit is just a proof of concept.
2016-02-24 11:06:49 +01:00
separate dirichlet/acb_dirichlet
2016-10-06 14:19:39 +02:00
#include "dirichlet.h"
[dirichlet] add conrey type to handle logs + char type - try to handle even and odd components the same way in the dirichlet group - switch from phi_q_odd to smaller expo = exponent of the group all character orders divide this number, and a character of that order exists - use conrey logarithm to reuse log and to loop efficiently over the group (see the diff on l.c, only 1 log in computed instead of 2 * q) - NOT TESTED, for the moment it just compiles, I know some errors (e.g. the FIXME in group_init.c : the generators have to be lifted mod q) this commit is just a proof of concept.
2016-02-24 11:06:49 +01:00
parity
2016-06-15 14:04:27 +02:00
int
remove all conrey
2016-10-08 17:22:19 +02:00
dirichlet_parity_ui(const dirichlet_group_t G, ulong a)
[dirichlet] add conrey type to handle logs + char type - try to handle even and odd components the same way in the dirichlet group - switch from phi_q_odd to smaller expo = exponent of the group all character orders divide this number, and a character of that order exists - use conrey logarithm to reuse log and to loop efficiently over the group (see the diff on l.c, only 1 log in computed instead of 2 * q) - NOT TESTED, for the moment it just compiles, I know some errors (e.g. the FIXME in group_init.c : the generators have to be lifted mod q) this commit is just a proof of concept.
2016-02-24 11:06:49 +01:00
{
parity
2016-06-15 14:04:27 +02:00
int par;
par = 0;
if (G->neven && a % 4 == 3)
par++;
change interface to switch acb / ui output
2016-04-05 12:18:39 +02:00
refactor to use product of prime groups
2016-07-06 18:39:29 +02:00
if (n_jacobi_unsigned(a, G->rad_q) == -1)
par++;
change interface to switch acb / ui output
2016-04-05 12:18:39 +02:00
parity
2016-06-15 14:04:27 +02:00
return par % 2;
[dirichlet] add conrey type to handle logs + char type - try to handle even and odd components the same way in the dirichlet group - switch from phi_q_odd to smaller expo = exponent of the group all character orders divide this number, and a character of that order exists - use conrey logarithm to reuse log and to loop efficiently over the group (see the diff on l.c, only 1 log in computed instead of 2 * q) - NOT TESTED, for the moment it just compiles, I know some errors (e.g. the FIXME in group_init.c : the generators have to be lifted mod q) this commit is just a proof of concept.
2016-02-24 11:06:49 +01:00
}
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