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gcc/libgcc/config/libbid/bid128_sqrt.c
H.J. Lu b2a00c8984 Makefile.in (dfp-filenames): Replace decimal_globals... 
libgcc/

2007-09-27  H.J. Lu  <hongjiu.lu@intel.com>

	* Makefile.in (dfp-filenames): Replace decimal_globals,
	decimal_data, binarydecimal and convert_data with
	bid_decimal_globals, bid_decimal_data, bid_binarydecimal
	and bid_convert_data, respectively.

libgcc/config/libbid/

2007-09-27  H.J. Lu  <hongjiu.lu@intel.com>

	* bid128_fromstring.c: Removed.

	* bid_dpd.c: New from libbid 2007-09-26.
	* bid128_to_int16.c: Likewise.
	* bid128_to_int8.c: Likewise.
	* bid128_to_uint8.c: Likewise.
	* bid128_to_uint16.c: Likewise.
	* bid64_to_int16.c: Likewise.
	* bid64_to_int8.c: Likewise.
	* bid64_to_uint16.c: Likewise.
	* bid64_to_uint8.c: Likewise.

	* bid128_2_str.h: Updated from libbid 2007-09-26.
	* bid128_2_str_macros.h: Likewise.
	* bid128_2_str_tables.c: Likewise.
	* bid128_add.c: Likewise.
	* bid128.c: Likewise.
	* bid128_compare.c: Likewise.
	* bid128_div.c: Likewise.
	* bid128_fma.c: Likewise.
	* bid128_logb.c: Likewise.
	* bid128_minmax.c: Likewise.
	* bid128_mul.c: Likewise.
	* bid128_next.c: Likewise.
	* bid128_noncomp.c: Likewise.
	* bid128_quantize.c: Likewise.
	* bid128_rem.c: Likewise.
	* bid128_round_integral.c: Likewise.
	* bid128_scalb.c: Likewise.
	* bid128_sqrt.c: Likewise.
	* bid128_string.c: Likewise.
	* bid128_to_int32.c: Likewise.
	* bid128_to_int64.c: Likewise.
	* bid128_to_uint32.c: Likewise.
	* bid128_to_uint64.c: Likewise.
	* bid32_to_bid128.c: Likewise.
	* bid32_to_bid64.c: Likewise.
	* bid64_add.c: Likewise.
	* bid64_compare.c: Likewise.
	* bid64_div.c: Likewise.
	* bid64_fma.c: Likewise.
	* bid64_logb.c: Likewise.
	* bid64_minmax.c: Likewise.
	* bid64_mul.c: Likewise.
	* bid64_next.c: Likewise.
	* bid64_noncomp.c: Likewise.
	* bid64_quantize.c: Likewise.
	* bid64_rem.c: Likewise.
	* bid64_round_integral.c: Likewise.
	* bid64_scalb.c: Likewise.
	* bid64_sqrt.c: Likewise.
	* bid64_string.c: Likewise.
	* bid64_to_bid128.c: Likewise.
	* bid64_to_int32.c: Likewise.
	* bid64_to_int64.c: Likewise.
	* bid64_to_uint32.c: Likewise.
	* bid64_to_uint64.c: Likewise.
	* bid_b2d.h: Likewise.
	* bid_binarydecimal.c: Likewise.
	* bid_conf.h: Likewise.
	* bid_convert_data.c: Likewise.
	* bid_decimal_data.c: Likewise.
	* bid_decimal_globals.c: Likewise.
	* bid_div_macros.h: Likewise.
	* bid_flag_operations.c: Likewise.
	* bid_from_int.c: Likewise.
	* bid_functions.h: Likewise.
	* bid_gcc_intrinsics.h: Likewise.
	* bid_inline_add.h: Likewise.
	* bid_internal.h: Likewise.
	* bid_round.c: Likewise.
	* bid_sqrt_macros.h: Likewise.
	* _addsub_dd.c: Likewise.
	* _addsub_sd.c: Likewise.
	* _addsub_td.c: Likewise.
	* _dd_to_df.c: Likewise.
	* _dd_to_di.c: Likewise.
	* _dd_to_sd.c: Likewise.
	* _dd_to_sf.c: Likewise.
	* _dd_to_si.c: Likewise.
	* _dd_to_td.c: Likewise.
	* _dd_to_tf.c: Likewise.
	* _dd_to_udi.c: Likewise.
	* _dd_to_usi.c: Likewise.
	* _dd_to_xf.c: Likewise.
	* _df_to_dd.c: Likewise.
	* _df_to_sd.c: Likewise.
	* _df_to_td.c: Likewise.
	* _di_to_dd.c: Likewise.
	* _di_to_sd.c: Likewise.
	* _di_to_td.c: Likewise.
	* _div_dd.c: Likewise.
	* _div_sd.c: Likewise.
	* _div_td.c: Likewise.
	* _eq_dd.c: Likewise.
	* _eq_sd.c: Likewise.
	* _eq_td.c: Likewise.
	* _ge_dd.c: Likewise.
	* _ge_sd.c: Likewise.
	* _ge_td.c: Likewise.
	* _gt_dd.c: Likewise.
	* _gt_sd.c: Likewise.
	* _gt_td.c: Likewise.
	* _isinfd128.c: Likewise.
	* _isinfd32.c: Likewise.
	* _isinfd64.c: Likewise.
	* _le_dd.c: Likewise.
	* _le_sd.c: Likewise.
	* _le_td.c: Likewise.
	* _lt_dd.c: Likewise.
	* _lt_sd.c: Likewise.
	* _lt_td.c: Likewise.
	* _mul_dd.c: Likewise.
	* _mul_sd.c: Likewise.
	* _mul_td.c: Likewise.
	* _ne_dd.c: Likewise.
	* _ne_sd.c: Likewise.
	* _ne_td.c: Likewise.
	* _sd_to_dd.c: Likewise.
	* _sd_to_df.c: Likewise.
	* _sd_to_di.c: Likewise.
	* _sd_to_sf.c: Likewise.
	* _sd_to_si.c: Likewise.
	* _sd_to_td.c: Likewise.
	* _sd_to_tf.c: Likewise.
	* _sd_to_udi.c: Likewise.
	* _sd_to_usi.c: Likewise.
	* _sd_to_xf.c: Likewise.
	* _sf_to_dd.c: Likewise.
	* _sf_to_sd.c: Likewise.
	* _sf_to_td.c: Likewise.
	* _si_to_dd.c: Likewise.
	* _si_to_sd.c: Likewise.
	* _si_to_td.c: Likewise.
	* _td_to_dd.c: Likewise.
	* _td_to_df.c: Likewise.
	* _td_to_di.c: Likewise.
	* _td_to_sd.c: Likewise.
	* _td_to_sf.c: Likewise.
	* _td_to_si.c: Likewise.
	* _td_to_tf.c: Likewise.
	* _td_to_udi.c: Likewise.
	* _td_to_usi.c: Likewise.
	* _td_to_xf.c: Likewise.
	* _tf_to_dd.c: Likewise.
	* _tf_to_sd.c: Likewise.
	* _tf_to_td.c: Likewise.
	* _udi_to_dd.c: Likewise.
	* _udi_to_sd.c: Likewise.
	* _udi_to_td.c: Likewise.
	* _unord_dd.c: Likewise.
	* _unord_sd.c: Likewise.
	* _unord_td.c: Likewise.
	* _usi_to_dd.c: Likewise.
	* _usi_to_sd.c: Likewise.
	* _usi_to_td.c: Likewise.
	* _xf_to_dd.c: Likewise.
	* _xf_to_sd.c: Likewise.
	* _xf_to_td.c: Likewise.

2007-09-27  H.J. Lu  <hongjiu.lu@intel.com>

	* b2d.h: Renamed to ...
	* bid_b2d.h: This.

	* bid128_to_string.c: Renamed to ...
	* bid128_string.c: This.

	* bid_intrinsics.h: Renamed to ...
	* bid_gcc_intrinsics.h: This.

	* bid_string.c: Renamed to ...
	* bid64_string.c: This.

	* binarydecimal.c: Renamed to ...
	* bid_decimal_globals.c: This.

	* convert_data.c: Renamed to ...
	* bid_convert_data.c: This.

	* decimal_data.c: Renamed to ...
	* bid_decimal_data.c: This.

	* decimal_globals.c: Renamed to ...
	* bid_decimal_globals.c: This.

	* div_macros.h: Renamed to ...
	* bid_div_macros.h: This.

	* inline_bid_add.h: Renamed to ...
	* bid_inline_add.h: This.

	* sqrt_macros.h: Renamed to ...
	* bid_sqrt_macros.h: This.

From-SVN: r128841
2007-09-27 10:47:23 -07:00

570 lines
14 KiB
C
Raw Blame History

/* 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. */
#define BID_128RES
#include "bid_internal.h"
#include "bid_sqrt_macros.h"
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#include <fenv.h>
#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT
#endif
BID128_FUNCTION_ARG1 (bid128_sqrt, x)
UINT256 M256, C256, C4, C8;
UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res;
UINT64 sign_x, Carry;
SINT64 D;
int_float fx, f64;
int exponent_x, bin_expon_cx;
int digits, scale, exponent_q;
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
fexcept_t binaryflags = 0;
#endif
// unpack arguments, check for NaN or Infinity
if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
res.w[1] = CX.w[1];
res.w[0] = CX.w[0];
// NaN ?
if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
#ifdef SET_STATUS_FLAGS
if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res.w[1] = CX.w[1] & QUIET_MASK64;
BID_RETURN (res);
}
// x is Infinity?
if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) {
res.w[1] = CX.w[1];
if (sign_x) {
// -Inf, return NaN
res.w[1] = 0x7c00000000000000ull;
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
}
BID_RETURN (res);
}
// x is 0 otherwise
res.w[1] =
sign_x |
((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1) << 49);
res.w[0] = 0;
BID_RETURN (res);
}
if (sign_x) {
res.w[1] = 0x7c00000000000000ull;
res.w[0] = 0;
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
BID_RETURN (res);
}
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
// 2^64
f64.i = 0x5f800000;
// fx ~ CX
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
digits = estimate_decimal_digits[bin_expon_cx];
A10 = CX;
if (exponent_x & 1) {
A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61);
A10.w[0] = CX.w[0] << 3;
CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
CX2.w[0] = CX.w[0] << 1;
__add_128_128 (A10, A10, CX2);
}
CS.w[0] = short_sqrt128 (A10);
CS.w[1] = 0;
// check for exact result
if (CS.w[0] * CS.w[0] == A10.w[0]) {
__mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]);
if (S2.w[1] == A10.w[1]) // && S2.w[0]==A10.w[0])
{
get_BID128_very_fast (&res, 0,
(exponent_x +
DECIMAL_EXPONENT_BIAS_128) >> 1, CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
BID_RETURN (res);
}
}
// get number of digits in CX
D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
if (D > 0
|| (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
digits++;
// if exponent is odd, scale coefficient by 10
scale = 67 - digits;
exponent_q = exponent_x - scale;
scale += (exponent_q & 1); // exp. bias is even
if (scale > 38) {
T128 = power10_table_128[scale - 37];
__mul_128x128_low (CX1, CX, T128);
TP128 = power10_table_128[37];
__mul_128x128_to_256 (C256, CX1, TP128);
} else {
T128 = power10_table_128[scale];
__mul_128x128_to_256 (C256, CX, T128);
}
// 4*C256
C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62);
C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62);
C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62);
C4.w[0] = C256.w[0] << 2;
long_sqrt128 (&CS, C256);
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
if (!((rnd_mode) & 3)) {
#endif
#endif
// compare to midpoints
CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
CSM.w[0] = (CS.w[0] + CS.w[0]) | 1;
// CSM^2
//__mul_128x128_to_256(M256, CSM, CSM);
__sqr128_to_256 (M256, CSM);
if (C4.w[3] > M256.w[3]
|| (C4.w[3] == M256.w[3]
&& (C4.w[2] > M256.w[2]
|| (C4.w[2] == M256.w[2]
&& (C4.w[1] > M256.w[1]
|| (C4.w[1] == M256.w[1]
&& C4.w[0] > M256.w[0])))))) {
// round up
CS.w[0]++;
if (!CS.w[0])
CS.w[1]++;
} else {
C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61);
C8.w[0] = CS.w[0] << 3;
// M256 - 8*CSM
__sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
__sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
__sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
M256.w[3] = M256.w[3] - Carry;
// if CSM' > C256, round up
if (M256.w[3] > C4.w[3]
|| (M256.w[3] == C4.w[3]
&& (M256.w[2] > C4.w[2]
|| (M256.w[2] == C4.w[2]
&& (M256.w[1] > C4.w[1]
|| (M256.w[1] == C4.w[1]
&& M256.w[0] > C4.w[0])))))) {
// round down
if (!CS.w[0])
CS.w[1]--;
CS.w[0]--;
}
}
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
} else {
__sqr128_to_256 (M256, CS);
C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
C8.w[0] = CS.w[0] << 1;
if (M256.w[3] > C256.w[3]
|| (M256.w[3] == C256.w[3]
&& (M256.w[2] > C256.w[2]
|| (M256.w[2] == C256.w[2]
&& (M256.w[1] > C256.w[1]
|| (M256.w[1] == C256.w[1]
&& M256.w[0] > C256.w[0])))))) {
__sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
__sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
__sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
M256.w[3] = M256.w[3] - Carry;
M256.w[0]++;
if (!M256.w[0]) {
M256.w[1]++;
if (!M256.w[1]) {
M256.w[2]++;
if (!M256.w[2])
M256.w[3]++;
}
}
if (!CS.w[0])
CS.w[1]--;
CS.w[0]--;
if (M256.w[3] > C256.w[3]
|| (M256.w[3] == C256.w[3]
&& (M256.w[2] > C256.w[2]
|| (M256.w[2] == C256.w[2]
&& (M256.w[1] > C256.w[1]
|| (M256.w[1] == C256.w[1]
&& M256.w[0] > C256.w[0])))))) {
if (!CS.w[0])
CS.w[1]--;
CS.w[0]--;
}
}
else {
__add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
__add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
__add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
M256.w[3] = M256.w[3] + Carry;
M256.w[0]++;
if (!M256.w[0]) {
M256.w[1]++;
if (!M256.w[1]) {
M256.w[2]++;
if (!M256.w[2])
M256.w[3]++;
}
}
if (M256.w[3] < C256.w[3]
|| (M256.w[3] == C256.w[3]
&& (M256.w[2] < C256.w[2]
|| (M256.w[2] == C256.w[2]
&& (M256.w[1] < C256.w[1]
|| (M256.w[1] == C256.w[1]
&& M256.w[0] <= C256.w[0])))))) {
CS.w[0]++;
if (!CS.w[0])
CS.w[1]++;
}
}
// RU?
if ((rnd_mode) == ROUNDING_UP) {
CS.w[0]++;
if (!CS.w[0])
CS.w[1]++;
}
}
#endif
#endif
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
#endif
get_BID128_fast (&res, 0,
(exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1, CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
BID_RETURN (res);
}
BID128_FUNCTION_ARGTYPE1 (bid128d_sqrt, UINT64, x)
UINT256 M256, C256, C4, C8;
UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res;
UINT64 sign_x, Carry;
SINT64 D;
int_float fx, f64;
int exponent_x, bin_expon_cx;
int digits, scale, exponent_q;
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
fexcept_t binaryflags = 0;
#endif
// unpack arguments, check for NaN or Infinity
// unpack arguments, check for NaN or Infinity
CX.w[1] = 0;
if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], x)) {
res.w[1] = CX.w[0];
res.w[0] = 0;
// NaN ?
if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
#ifdef SET_STATUS_FLAGS
if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res.w[0] = (CX.w[0] & 0x0003ffffffffffffull);
__mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]);
res.w[1] |= ((CX.w[0]) & 0xfc00000000000000ull);
BID_RETURN (res);
}
// x is Infinity?
if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
if (sign_x) {
// -Inf, return NaN
res.w[1] = 0x7c00000000000000ull;
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
}
BID_RETURN (res);
}
// x is 0 otherwise
exponent_x =
exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128;
res.w[1] =
sign_x | ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1)
<< 49);
res.w[0] = 0;
BID_RETURN (res);
}
if (sign_x) {
res.w[1] = 0x7c00000000000000ull;
res.w[0] = 0;
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
BID_RETURN (res);
}
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
exponent_x =
exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128;
// 2^64
f64.i = 0x5f800000;
// fx ~ CX
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
digits = estimate_decimal_digits[bin_expon_cx];
A10 = CX;
if (exponent_x & 1) {
A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61);
A10.w[0] = CX.w[0] << 3;
CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
CX2.w[0] = CX.w[0] << 1;
__add_128_128 (A10, A10, CX2);
}
CS.w[0] = short_sqrt128 (A10);
CS.w[1] = 0;
// check for exact result
if (CS.w[0] * CS.w[0] == A10.w[0]) {
__mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]);
if (S2.w[1] == A10.w[1]) {
get_BID128_very_fast (&res, 0,
(exponent_x + DECIMAL_EXPONENT_BIAS_128) >> 1,
CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
BID_RETURN (res);
}
}
// get number of digits in CX
D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
if (D > 0
|| (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
digits++;
// if exponent is odd, scale coefficient by 10
scale = 67 - digits;
exponent_q = exponent_x - scale;
scale += (exponent_q & 1); // exp. bias is even
if (scale > 38) {
T128 = power10_table_128[scale - 37];
__mul_128x128_low (CX1, CX, T128);
TP128 = power10_table_128[37];
__mul_128x128_to_256 (C256, CX1, TP128);
} else {
T128 = power10_table_128[scale];
__mul_128x128_to_256 (C256, CX, T128);
}
// 4*C256
C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62);
C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62);
C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62);
C4.w[0] = C256.w[0] << 2;
long_sqrt128 (&CS, C256);
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
if (!((rnd_mode) & 3)) {
#endif
#endif
// compare to midpoints
CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
CSM.w[0] = (CS.w[0] + CS.w[0]) | 1;
// CSM^2
//__mul_128x128_to_256(M256, CSM, CSM);
__sqr128_to_256 (M256, CSM);
if (C4.w[3] > M256.w[3]
|| (C4.w[3] == M256.w[3]
&& (C4.w[2] > M256.w[2]
|| (C4.w[2] == M256.w[2]
&& (C4.w[1] > M256.w[1]
|| (C4.w[1] == M256.w[1]
&& C4.w[0] > M256.w[0])))))) {
// round up
CS.w[0]++;
if (!CS.w[0])
CS.w[1]++;
} else {
C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61);
C8.w[0] = CS.w[0] << 3;
// M256 - 8*CSM
__sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
__sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
__sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
M256.w[3] = M256.w[3] - Carry;
// if CSM' > C256, round up
if (M256.w[3] > C4.w[3]
|| (M256.w[3] == C4.w[3]
&& (M256.w[2] > C4.w[2]
|| (M256.w[2] == C4.w[2]
&& (M256.w[1] > C4.w[1]
|| (M256.w[1] == C4.w[1]
&& M256.w[0] > C4.w[0])))))) {
// round down
if (!CS.w[0])
CS.w[1]--;
CS.w[0]--;
}
}
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
} else {
__sqr128_to_256 (M256, CS);
C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
C8.w[0] = CS.w[0] << 1;
if (M256.w[3] > C256.w[3]
|| (M256.w[3] == C256.w[3]
&& (M256.w[2] > C256.w[2]
|| (M256.w[2] == C256.w[2]
&& (M256.w[1] > C256.w[1]
|| (M256.w[1] == C256.w[1]
&& M256.w[0] > C256.w[0])))))) {
__sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
__sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
__sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
M256.w[3] = M256.w[3] - Carry;
M256.w[0]++;
if (!M256.w[0]) {
M256.w[1]++;
if (!M256.w[1]) {
M256.w[2]++;
if (!M256.w[2])
M256.w[3]++;
}
}
if (!CS.w[0])
CS.w[1]--;
CS.w[0]--;
if (M256.w[3] > C256.w[3]
|| (M256.w[3] == C256.w[3]
&& (M256.w[2] > C256.w[2]
|| (M256.w[2] == C256.w[2]
&& (M256.w[1] > C256.w[1]
|| (M256.w[1] == C256.w[1]
&& M256.w[0] > C256.w[0])))))) {
if (!CS.w[0])
CS.w[1]--;
CS.w[0]--;
}
}
else {
__add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
__add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
__add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
M256.w[3] = M256.w[3] + Carry;
M256.w[0]++;
if (!M256.w[0]) {
M256.w[1]++;
if (!M256.w[1]) {
M256.w[2]++;
if (!M256.w[2])
M256.w[3]++;
}
}
if (M256.w[3] < C256.w[3]
|| (M256.w[3] == C256.w[3]
&& (M256.w[2] < C256.w[2]
|| (M256.w[2] == C256.w[2]
&& (M256.w[1] < C256.w[1]
|| (M256.w[1] == C256.w[1]
&& M256.w[0] <= C256.w[0])))))) {
CS.w[0]++;
if (!CS.w[0])
CS.w[1]++;
}
}
// RU?
if ((rnd_mode) == ROUNDING_UP) {
CS.w[0]++;
if (!CS.w[0])
CS.w[1]++;
}
}
#endif
#endif
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
#endif
get_BID128_fast (&res, 0, (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1,
CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
BID_RETURN (res);
}
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