forked from KolibriOS/kolibrios
565 lines
14 KiB
C
565 lines
14 KiB
C
|
/* Copyright (C) 2007-2015 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 3, or (at your option) any later
|
||
|
version.
|
||
|
|
||
|
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.
|
||
|
|
||
|
Under Section 7 of GPL version 3, you are granted additional
|
||
|
permissions described in the GCC Runtime Library Exception, version
|
||
|
3.1, as published by the Free Software Foundation.
|
||
|
|
||
|
You should have received a copy of the GNU General Public License and
|
||
|
a copy of the GCC Runtime Library Exception along with this program;
|
||
|
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
|
||
|
<http://www.gnu.org/licenses/>. */
|
||
|
|
||
|
#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);
|
||
|
|
||
|
|
||
|
}
|