/* mpfr_mul_1 -- internal function to perform a one-limb multiplication
This code was extracted by Kremlin from a formal proof in F*
done by Jianyang Pan in April-August 2018: do not modify it!
Source: https://github.com/project-everest/hacl-star/tree/dev_mpfr/code/mpfr
Copyright 2004-2023 Free Software Foundation, Inc.
Contributed by the AriC and Caramba projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The GNU MPFR Library 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#define int64_t long
#define uint32_t unsigned int
#define uint64_t mp_limb_t
#define bool int
typedef struct K___int64_t_uint64_t_uint64_t_s
{
int64_t fst;
uint64_t snd;
uint64_t thd;
}
K___int64_t_uint64_t_uint64_t;
#define MPFR_Lib_mpfr_struct __mpfr_struct
#define MPFR_Lib_mpfr_RET(I) (I) != 0 ? ((__gmpfr_flags |= MPFR_FLAGS_INEXACT), (I)) : 0
#define MPFR_Exceptions_mpfr_overflow mpfr_overflow
#define MPFR_Exceptions_mpfr_underflow mpfr_underflow
#define mpfr_prec _mpfr_prec
#define mpfr_exp _mpfr_exp
#define mpfr_d _mpfr_d
#define mpfr_sign _mpfr_sign
#define MPFR_Lib_gmp_NUMB_BITS GMP_NUMB_BITS
#define MPFR_Lib_mpfr_EMAX __gmpfr_emax
#define MPFR_Lib_mpfr_EMIN __gmpfr_emin
#define MPFR_RoundingMode_MPFR_RNDZ MPFR_RNDZ
#define MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode) (rnd_mode == MPFR_RNDN)
#define MPFR_RoundingMode_mpfr_IS_LIKE_RNDZ MPFR_IS_LIKE_RNDZ
#define MPFR_RoundingMode_mpfr_IS_LIKE_RNDA MPFR_IS_LIKE_RNDA
/* Special code for prec(a) < GMP_NUMB_BITS and
prec(b), prec(c) <= GMP_NUMB_BITS.
Note: this code was copied in sqr.c, function mpfr_sqr_1 (this saves a few cycles
with respect to have this function exported). As a consequence, any change here
should be reported in mpfr_sqr_1. */
static int
mpfr_mul_1 (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode,
mpfr_prec_t p)
{
uint64_t *ap = a->mpfr_d;
uint64_t *bp = b->mpfr_d;
uint64_t *cp = c->mpfr_d;
uint64_t b0 = bp[0U];
uint64_t c0 = cp[0U];
int64_t sh = MPFR_Lib_gmp_NUMB_BITS - p;
uint64_t mask = ((uint64_t)1U << (uint32_t)sh) - (uint64_t)1U;
int64_t ax = b->mpfr_exp + c->mpfr_exp;
//K___uint64_t_uint64_t scrut0 = MPFR_Umul_ppmm_umul_ppmm(b0, c0);
//uint64_t a0 = scrut0.fst;
//uint64_t sb = scrut0.snd;
uint64_t a0, sb;
umul_ppmm (a0, sb, b0, c0);
K___int64_t_uint64_t_uint64_t scrut;
if (a0 < (uint64_t)0x8000000000000000U)
scrut =
(
(K___int64_t_uint64_t_uint64_t){
.fst = ax - (int64_t)1,
.snd = a0 << (uint32_t)1U | sb >> (uint32_t)(MPFR_Lib_gmp_NUMB_BITS - (int64_t)1),
.thd = sb << (uint32_t)1U
}
);
else
scrut = ((K___int64_t_uint64_t_uint64_t){ .fst = ax, .snd = a0, .thd = sb });
int64_t ax1 = scrut.fst;
uint64_t a01 = scrut.snd;
uint64_t sb1 = scrut.thd;
uint64_t rb = a01 & (uint64_t)1U << (uint32_t)(sh - (int64_t)1);
uint64_t sb2 = sb1 | ((a01 & mask) ^ rb);
ap[0U] = a01 & ~mask;
MPFR_Lib_mpfr_struct uu___73_2756 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___73_2756.mpfr_prec,
.mpfr_sign = b->mpfr_sign * c->mpfr_sign,
.mpfr_exp = uu___73_2756.mpfr_exp,
.mpfr_d = uu___73_2756.mpfr_d
}
);
uint64_t *ap1 = a->mpfr_d;
uint64_t a02 = ap1[0U];
if (ax1 > MPFR_Lib_mpfr_EMAX)
return MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign);
else if (ax1 < MPFR_Lib_mpfr_EMIN)
{
bool aneg = a->mpfr_sign < (int32_t)0;
if
(
ax1
== MPFR_Lib_mpfr_EMIN - (int64_t)1
&& a02 == ~mask
&&
((MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode) && rb > (uint64_t)0U)
|| ((rb | sb2) > (uint64_t)0U && MPFR_RoundingMode_mpfr_IS_LIKE_RNDA(rnd_mode, aneg)))
)
{
uint64_t *ap2 = a->mpfr_d;
uint64_t a03 = ap2[0U];
MPFR_Lib_mpfr_struct uu___72_2907 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___72_2907.mpfr_prec,
.mpfr_sign = uu___72_2907.mpfr_sign,
.mpfr_exp = ax1,
.mpfr_d = uu___72_2907.mpfr_d
}
);
if (rb == (uint64_t)0U && sb2 == (uint64_t)0U)
return MPFR_Lib_mpfr_RET((int32_t)0);
else if (MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode))
if
(
rb
== (uint64_t)0U
|| (sb2 == (uint64_t)0U && (a03 & (uint64_t)1U << (uint32_t)sh) == (uint64_t)0U)
)
{
int32_t ite;
if (a->mpfr_sign == (int32_t)1)
ite = (int32_t)-1;
else
ite = (int32_t)1;
return MPFR_Lib_mpfr_RET(ite);
}
else
{
uint64_t *ap3 = a->mpfr_d;
ap3[0U] = ap3[0U] + ((uint64_t)1U << (uint32_t)sh);
if (ap3[0U] == (uint64_t)0U)
{
ap3[0U] = (uint64_t)0x8000000000000000U;
if (ax1 + (int64_t)1 > MPFR_Lib_mpfr_EMAX)
return MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign);
else
{
MPFR_Lib_mpfr_struct uu___72_3047 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___72_3047.mpfr_prec,
.mpfr_sign = uu___72_3047.mpfr_sign,
.mpfr_exp = ax1 + (int64_t)1,
.mpfr_d = uu___72_3047.mpfr_d
}
);
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
}
else
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
else if (MPFR_RoundingMode_mpfr_IS_LIKE_RNDZ(rnd_mode, a->mpfr_sign < (int32_t)0))
{
int32_t ite;
if (a->mpfr_sign == (int32_t)1)
ite = (int32_t)-1;
else
ite = (int32_t)1;
return MPFR_Lib_mpfr_RET(ite);
}
else
{
uint64_t *ap3 = a->mpfr_d;
ap3[0U] = ap3[0U] + ((uint64_t)1U << (uint32_t)sh);
if (ap3[0U] == (uint64_t)0U)
{
ap3[0U] = (uint64_t)0x8000000000000000U;
if (ax1 + (int64_t)1 > MPFR_Lib_mpfr_EMAX)
return MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign);
else
{
MPFR_Lib_mpfr_struct uu___72_3237 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___72_3237.mpfr_prec,
.mpfr_sign = uu___72_3237.mpfr_sign,
.mpfr_exp = ax1 + (int64_t)1,
.mpfr_d = uu___72_3237.mpfr_d
}
);
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
}
else
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
}
else if
(
MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode)
&&
(ax1
< MPFR_Lib_mpfr_EMIN - (int64_t)1
|| (a02 == (uint64_t)0x8000000000000000U && (rb | sb2) == (uint64_t)0U))
)
return MPFR_Exceptions_mpfr_underflow(a, MPFR_RoundingMode_MPFR_RNDZ, a->mpfr_sign);
else
return MPFR_Exceptions_mpfr_underflow(a, rnd_mode, a->mpfr_sign);
}
else
{
uint64_t *ap2 = a->mpfr_d;
uint64_t a03 = ap2[0U];
MPFR_Lib_mpfr_struct uu___72_3422 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___72_3422.mpfr_prec,
.mpfr_sign = uu___72_3422.mpfr_sign,
.mpfr_exp = ax1,
.mpfr_d = uu___72_3422.mpfr_d
}
);
if (rb == (uint64_t)0U && sb2 == (uint64_t)0U)
return MPFR_Lib_mpfr_RET((int32_t)0);
else if (MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode))
if
(
rb
== (uint64_t)0U
|| (sb2 == (uint64_t)0U && (a03 & (uint64_t)1U << (uint32_t)sh) == (uint64_t)0U)
)
{
int32_t ite;
if (a->mpfr_sign == (int32_t)1)
ite = (int32_t)-1;
else
ite = (int32_t)1;
return MPFR_Lib_mpfr_RET(ite);
}
else
{
uint64_t *ap3 = a->mpfr_d;
ap3[0U] = ap3[0U] + ((uint64_t)1U << (uint32_t)sh);
if (ap3[0U] == (uint64_t)0U)
{
ap3[0U] = (uint64_t)0x8000000000000000U;
if (ax1 + (int64_t)1 > MPFR_Lib_mpfr_EMAX)
return MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign);
else
{
MPFR_Lib_mpfr_struct uu___72_3562 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___72_3562.mpfr_prec,
.mpfr_sign = uu___72_3562.mpfr_sign,
.mpfr_exp = ax1 + (int64_t)1,
.mpfr_d = uu___72_3562.mpfr_d
}
);
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
}
else
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
else if (MPFR_RoundingMode_mpfr_IS_LIKE_RNDZ(rnd_mode, a->mpfr_sign < (int32_t)0))
{
int32_t ite;
if (a->mpfr_sign == (int32_t)1)
ite = (int32_t)-1;
else
ite = (int32_t)1;
return MPFR_Lib_mpfr_RET(ite);
}
else
{
uint64_t *ap3 = a->mpfr_d;
ap3[0U] = ap3[0U] + ((uint64_t)1U << (uint32_t)sh);
if (ap3[0U] == (uint64_t)0U)
{
ap3[0U] = (uint64_t)0x8000000000000000U;
if (ax1 + (int64_t)1 > MPFR_Lib_mpfr_EMAX)
return MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign);
else
{
MPFR_Lib_mpfr_struct uu___72_3752 = a[0U];
a[0U] =
(
(MPFR_Lib_mpfr_struct){
.mpfr_prec = uu___72_3752.mpfr_prec,
.mpfr_sign = uu___72_3752.mpfr_sign,
.mpfr_exp = ax1 + (int64_t)1,
.mpfr_d = uu___72_3752.mpfr_d
}
);
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
}
else
return MPFR_Lib_mpfr_RET(a->mpfr_sign);
}
}
}