gcc/libgcc/config/libbid/bid64_quantize.c

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/* Copyright (C) 2007 Free Software Foundation, Inc.
This file is part of GCC.
GCC 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, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License, the
Free Software Foundation gives you unlimited permission to link the
compiled version of this file into combinations with other programs,
and to distribute those combinations without any restriction coming
from the use of this file. (The General Public License restrictions
do apply in other respects; for example, they cover modification of
the file, and distribution when not linked into a combine
executable.)
GCC 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 GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
#include "bid_internal.h"
#define MAX_FORMAT_DIGITS 16
#define DECIMAL_EXPONENT_BIAS 398
#define MAX_DECIMAL_EXPONENT 767
#if DECIMAL_CALL_BY_REFERENCE
void
__bid64_quantize (UINT64 * pres, UINT64 * px,
UINT64 *
py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
_EXC_INFO_PARAM) {
UINT64 x, y;
#else
UINT64
__bid64_quantize (UINT64 x,
UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM
_EXC_MASKS_PARAM _EXC_INFO_PARAM) {
#endif
UINT128 CT;
UINT64 sign_x, sign_y, coefficient_x, coefficient_y, remainder_h, C64;
UINT64 tmp, carry, res;
int_float tempx;
int exponent_x, exponent_y = 0, digits_x, extra_digits, amount, amount2;
int expon_diff, total_digits, bin_expon_cx;
unsigned rmode, status;
#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
_IDEC_round rnd_mode = *prnd_mode;
#endif
x = *px;
y = *py;
#endif
// unpack arguments, check for NaN or Infinity
if (!unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y)) {
// Inf. or NaN or 0
#ifdef SET_STATUS_FLAGS
if ((x & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
// x=Inf, y=Inf?
if (((x << 1) == 0xf000000000000000ull)
&& ((y << 1) == 0xf000000000000000ull)) {
res = x;
BID_RETURN (res);
}
// Inf or NaN?
if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) {
#ifdef SET_STATUS_FLAGS
if (((y & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
|| (((y & 0x7c00000000000000ull) == 0x7800000000000000ull) && //Inf
((x & 0x7c00000000000000ull) < 0x7800000000000000ull)))
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res = 0x7c00000000000000ull;
BID_RETURN (res);
}
}
// unpack arguments, check for NaN or Infinity
if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) {
// x is Inf. or NaN or 0
// Inf or NaN?
if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
#ifdef SET_STATUS_FLAGS
if (((x & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
|| ((x & 0x7c00000000000000ull) == 0x7800000000000000ull)) //Inf
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res = 0x7c00000000000000ull;
BID_RETURN (res);
}
res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, 0);
BID_RETURN (res);
}
// get number of decimal digits in coefficient_x
tempx.d = (float) coefficient_x;
bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
digits_x = __bid_estimate_decimal_digits[bin_expon_cx];
if (coefficient_x >= __bid_power10_table_128[digits_x].w[0])
digits_x++;
expon_diff = exponent_x - exponent_y;
total_digits = digits_x + expon_diff;
// check range of scaled coefficient
if ((UINT32) (total_digits + 1) <= 17) {
if (expon_diff >= 0) {
coefficient_x *= __bid_power10_table_128[expon_diff].w[0];
res = very_fast_get_BID64 (sign_x, exponent_y, coefficient_x);
BID_RETURN (res);
}
// must round off -expon_diff digits
extra_digits = -expon_diff;
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST
rmode = rnd_mode;
if (sign_x && (unsigned) (rmode - 1) < 2)
rmode = 3 - rmode;
#else
rmode = 0;
#endif
#else
rmode = 0;
#endif
coefficient_x += __bid_round_const_table[rmode][extra_digits];
// get P*(2^M[extra_digits])/10^extra_digits
__mul_64x64_to_128 (CT, coefficient_x,
__bid_reciprocals10_64[extra_digits]);
// now get P/10^extra_digits: shift C64 right by M[extra_digits]-128
amount = __bid_short_recip_scale[extra_digits];
C64 = CT.w[1] >> amount;
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST
if (rnd_mode == 0)
#endif
if (C64 & 1) {
// check whether fractional part of initial_P/10^extra_digits
// is exactly .5
// this is the same as fractional part of
// (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero
// get remainder
amount2 = 64 - amount;
remainder_h = 0;
remainder_h--;
remainder_h >>= amount2;
remainder_h = remainder_h & CT.w[1];
// test whether fractional part is 0
if (!remainder_h && (CT.w[0] < __bid_reciprocals10_64[extra_digits])) {
C64--;
}
}
#endif
#ifdef SET_STATUS_FLAGS
status = INEXACT_EXCEPTION;
// get remainder
remainder_h = CT.w[1] << (64 - amount);
switch (rmode) {
case ROUNDING_TO_NEAREST:
case ROUNDING_TIES_AWAY:
// test whether fractional part is 0
if ((remainder_h == 0x8000000000000000ull)
&& (CT.w[0] < __bid_reciprocals10_64[extra_digits]))
status = EXACT_STATUS;
break;
case ROUNDING_DOWN:
case ROUNDING_TO_ZERO:
if (!remainder_h && (CT.w[0] < __bid_reciprocals10_64[extra_digits]))
status = EXACT_STATUS;
//if(!C64 && rmode==ROUNDING_DOWN) sign_s=sign_y;
break;
default:
// round up
__add_carry_out (tmp, carry, CT.w[0],
__bid_reciprocals10_64[extra_digits]);
if ((remainder_h >> (64 - amount)) + carry >=
(((UINT64) 1) << amount))
status = EXACT_STATUS;
break;
}
__set_status_flags (pfpsf, status);
#endif
res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
BID_RETURN (res);
}
if (total_digits < 0) {
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
#endif
C64 = 0;
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST
rmode = rnd_mode;
if (sign_x && (unsigned) (rmode - 1) < 2)
rmode = 3 - rmode;
if (rmode == ROUNDING_UP)
C64 = 1;
#endif
#endif
res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
BID_RETURN (res);
}
// else more than 16 digits in coefficient
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res = 0x7c00000000000000ull;
BID_RETURN (res);
}