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/*
Copyright (C) 2012 Fredrik Johansson
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 "fmpr.h"
slong
fmpr_mul_fmpz(fmpr_t z, const fmpr_t x, const fmpz_t y, slong prec, fmpr_rnd_t rnd)
{
fmpz xv, yv;
fmpz yexp;
if (fmpr_is_special(x) || fmpz_is_zero(y))
{
if (fmpr_is_zero(x))
{
fmpr_zero(z);
}
else if (fmpz_is_zero(y) && fmpr_is_finite(x))
{
fmpr_zero(z);
}
else if (fmpr_is_inf(x) && !fmpz_is_zero(y))
{
if (fmpr_sgn(x) == fmpz_sgn(y))
fmpr_pos_inf(z);
else
fmpr_neg_inf(z);
}
else
{
fmpr_nan(z);
}
return FMPR_RESULT_EXACT;
}
xv = *fmpr_manref(x);
yv = *y;
if (!COEFF_IS_MPZ(xv) && !COEFF_IS_MPZ(yv))
{
mp_limb_t ytmp;
unsigned int bc;
ytmp = FLINT_ABS(yv);
count_trailing_zeros(bc, ytmp);
ytmp >>= bc;
yexp = bc;
return _fmpr_mul_1x1(z, FLINT_ABS(xv), fmpr_expref(x),
ytmp, &yexp, (xv ^ yv) < 0, prec, rnd);
}
else
{
slong xn, yn;
int xsign, ysign;
mp_limb_t xtmp, ytmp;
mp_ptr xptr, yptr;
yexp = 0;
FMPZ_GET_MPN_READONLY(xsign, xn, xptr, xtmp, xv)
FMPZ_GET_MPN_READONLY(ysign, yn, yptr, ytmp, yv)
if (xn >= yn)
return _fmpr_mul_mpn(z, xptr, xn, fmpr_expref(x),
yptr, yn, &yexp, xsign ^ ysign, prec, rnd);
else
return _fmpr_mul_mpn(z, yptr, yn, &yexp,
xptr, xn, fmpr_expref(x), ysign ^ xsign, prec, rnd);
}
}
slong
fmpr_mul_si(fmpr_t z, const fmpr_t x, slong y, slong prec, fmpr_rnd_t rnd)
{
fmpz xv;
fmpz yexp;
slong xn;
int xsign, ysign;
mp_limb_t xtmp, ytmp;
mp_ptr xptr;
if (fmpr_is_special(x) || (y == 0))
{
if (fmpr_is_zero(x))
{
fmpr_zero(z);
}
else if ((y == 0) && fmpr_is_finite(x))
{
fmpr_zero(z);
}
else if (fmpr_is_inf(x) && (y != 0))
{
if (fmpr_sgn(x) == ((y > 0) - (y < 0)))
fmpr_pos_inf(z);
else
fmpr_neg_inf(z);
}
else
{
fmpr_nan(z);
}
return FMPR_RESULT_EXACT;
}
xv = *fmpr_manref(x);
ytmp = FLINT_ABS(y);
ysign = y < 0;
yexp = 0;
if (!COEFF_IS_MPZ(xv))
{
unsigned int bc;
count_trailing_zeros(bc, ytmp);
ytmp >>= bc;
yexp = bc;
return _fmpr_mul_1x1(z, FLINT_ABS(xv), fmpr_expref(x),
ytmp, &yexp, (xv < 0) ^ ysign, prec, rnd);
}
else
{
FMPZ_GET_MPN_READONLY(xsign, xn, xptr, xtmp, xv)
return _fmpr_mul_mpn(z, xptr, xn, fmpr_expref(x),
&ytmp, 1, &yexp, xsign ^ ysign, prec, rnd);
}
}
slong
fmpr_mul_ui(fmpr_t z, const fmpr_t x, ulong y, slong prec, fmpr_rnd_t rnd)
{
fmpz xv;
fmpz yexp;
slong xn;
int xsign;
mp_limb_t xtmp, ytmp;
mp_ptr xptr;
if (fmpr_is_special(x) || (y == 0))
{
if (fmpr_is_zero(x))
{
fmpr_zero(z);
}
else if ((y == 0) && fmpr_is_finite(x))
{
fmpr_zero(z);
}
else if (fmpr_is_inf(x) && (y != 0))
{
if (fmpr_sgn(x) == (y != 0))
fmpr_pos_inf(z);
else
fmpr_neg_inf(z);
}
else
{
fmpr_nan(z);
}
return FMPR_RESULT_EXACT;
}
xv = *fmpr_manref(x);
ytmp = y;
yexp = 0;
if (!COEFF_IS_MPZ(xv))
{
unsigned int bc;
count_trailing_zeros(bc, ytmp);
ytmp >>= bc;
yexp = bc;
return _fmpr_mul_1x1(z, FLINT_ABS(xv), fmpr_expref(x),
ytmp, &yexp, xv < 0, prec, rnd);
}
else
{
FMPZ_GET_MPN_READONLY(xsign, xn, xptr, xtmp, xv)
return _fmpr_mul_mpn(z, xptr, xn, fmpr_expref(x),
&ytmp, 1, &yexp, xsign, prec, rnd);
}
}
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