/*
Copyright (C) 2020 William Hart
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "fq_zech.h"
int
fq_zech_sqrt(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx)
{
if (fq_zech_is_zero(op1, ctx) || fq_zech_is_one(op1, ctx))
{
rop->value = op1->value;
} else if (ctx->p == 2)
{
rop->value = op1->value & 1 ? (op1->value + ctx->qm1)/2 : op1->value/2;
} else
{
if (op1->value & 1) /* not a square */
return 0;
rop->value = op1->value/2;
}
return 1;
}