128 lines
3.7 KiB
C
128 lines
3.7 KiB
C
|
/*=============================================================================
|
||
|
|
|
||
|
|
This file is part of FLINT.
|
||
|
|
|
||
|
|
FLINT 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.
|
||
|
|
|
||
|
|
FLINT 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 FLINT; if not, write to the Free Software
|
||
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||
|
|
|
||
|
|
=============================================================================*/
|
||
|
|
/******************************************************************************
|
||
|
|
|
||
|
|
Copyright (C) 2011, 2012 Sebastian Pancratz
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include "padic.h"
|
||
|
|
|
||
|
|
void padic_add(padic_t rop, const padic_t op1, const padic_t op2,
|
||
|
|
const padic_ctx_t ctx)
|
||
|
|
{
|
||
|
|
if (padic_prec(rop) <= FLINT_MIN(padic_val(op1), padic_val(op2)))
|
||
|
|
{
|
||
|
|
padic_zero(rop);
|
||
|
|
return;
|
||
|
|
}
|
||
|
|
|
||
|
|
if (padic_is_zero(op1))
|
||
|
|
{
|
||
|
|
padic_set(rop, op2, ctx);
|
||
|
|
}
|
||
|
|
else if (padic_is_zero(op2))
|
||
|
|
{
|
||
|
|
padic_set(rop, op1, ctx);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if (padic_val(op1) == padic_val(op2))
|
||
|
|
{
|
||
|
|
|
||
|
|
fmpz_add(padic_unit(rop), padic_unit(op1), padic_unit(op2));
|
||
|
|
padic_val(rop) = padic_val(op1);
|
||
|
|
|
||
|
|
_padic_canonicalise(rop, ctx);
|
||
|
|
|
||
|
|
if (padic_prec(rop) <= padic_val(rop))
|
||
|
|
{
|
||
|
|
padic_zero(rop);
|
||
|
|
return;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if (padic_val(op1) < padic_val(op2))
|
||
|
|
{
|
||
|
|
fmpz_t f;
|
||
|
|
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_pow_ui(f, ctx->p, padic_val(op2) - padic_val(op1));
|
||
|
|
if (rop != op2)
|
||
|
|
{
|
||
|
|
fmpz_set(padic_unit(rop), padic_unit(op1));
|
||
|
|
fmpz_addmul(padic_unit(rop), f, padic_unit(op2));
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fmpz_mul(padic_unit(rop), f, padic_unit(op2));
|
||
|
|
fmpz_add(padic_unit(rop), padic_unit(rop), padic_unit(op1));
|
||
|
|
}
|
||
|
|
fmpz_clear(f);
|
||
|
|
|
||
|
|
padic_val(rop) = padic_val(op1);
|
||
|
|
}
|
||
|
|
else /* padic_val(op1) > padic_val(op2) */
|
||
|
|
{
|
||
|
|
fmpz_t f;
|
||
|
|
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_pow_ui(f, ctx->p, padic_val(op1) - padic_val(op2));
|
||
|
|
if (rop != op1)
|
||
|
|
{
|
||
|
|
fmpz_set(padic_unit(rop), padic_unit(op2));
|
||
|
|
fmpz_addmul(padic_unit(rop), f, padic_unit(op1));
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fmpz_mul(padic_unit(rop), f, padic_unit(op1));
|
||
|
|
fmpz_add(padic_unit(rop), padic_unit(rop), padic_unit(op2));
|
||
|
|
}
|
||
|
|
fmpz_clear(f);
|
||
|
|
|
||
|
|
padic_val(rop) = padic_val(op2);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Reduce */
|
||
|
|
{
|
||
|
|
int alloc;
|
||
|
|
fmpz_t pow;
|
||
|
|
|
||
|
|
alloc = _padic_ctx_pow_ui(pow, padic_prec(rop) - padic_val(rop), ctx);
|
||
|
|
|
||
|
|
if (padic_prec(rop) >= FLINT_MAX(padic_prec(op1), padic_prec(op2)))
|
||
|
|
{
|
||
|
|
if (fmpz_cmpabs(padic_unit(rop), pow) >= 0)
|
||
|
|
fmpz_sub(padic_unit(rop), padic_unit(rop), pow);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fmpz_mod(padic_unit(rop), padic_unit(rop), pow);
|
||
|
|
}
|
||
|
|
|
||
|
|
if (fmpz_is_zero(padic_unit(rop)))
|
||
|
|
padic_val(rop) = 0;
|
||
|
|
|
||
|
|
if (alloc)
|
||
|
|
fmpz_clear(pow);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|