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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. */
#define BID_128RES
#include "bid_div_macros.h"
BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (UINT128, bid128_rem, x, y)
UINT256 P256;
UINT128 CX, CY, CX2, CQ, CR, T, CXS, P128, res;
UINT64 sign_x, sign_y, valid_y;
SINT64 D;
int_float f64, fx;
int exponent_x, exponent_y, diff_expon, bin_expon_cx, scale,
scale0;
// unpack arguments, check for NaN or Infinity
valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y);
if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
#ifdef SET_STATUS_FLAGS
if ((y.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
// test if x is NaN
if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
#ifdef SET_STATUS_FLAGS
if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res.w[1] = CX.w[1] & QUIET_MASK64;
res.w[0] = CX.w[0];
BID_RETURN (res);
}
// x is Infinity?
if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) {
// check if y is Inf.
if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull))
// return NaN
{
#ifdef SET_STATUS_FLAGS
// set status flags
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res.w[1] = 0x7c00000000000000ull;
res.w[0] = 0;
BID_RETURN (res);
}
}
// x is 0
if ((!CY.w[1]) && (!CY.w[0])) {
#ifdef SET_STATUS_FLAGS
// set status flags
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
// x=y=0, return NaN
res.w[1] = 0x7c00000000000000ull;
res.w[0] = 0;
BID_RETURN (res);
}
if (valid_y || ((y.w[1] & NAN_MASK64) == INFINITY_MASK64)) {
// return 0
if ((exponent_x > exponent_y)
&& ((y.w[1] & NAN_MASK64) != INFINITY_MASK64))
exponent_x = exponent_y;
res.w[1] = sign_x | (((UINT64) exponent_x) << 49);
res.w[0] = 0;
BID_RETURN (res);
}
}
if (!valid_y) {
// y is Inf. or NaN
// test if y is NaN
if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
#ifdef SET_STATUS_FLAGS
if ((y.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res.w[1] = CY.w[1] & QUIET_MASK64;
res.w[0] = CY.w[0];
BID_RETURN (res);
}
// y is Infinity?
if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) {
// return x
res.w[1] = x.w[1];
res.w[0] = x.w[0];
BID_RETURN (res);
}
// y is 0
#ifdef SET_STATUS_FLAGS
// set status flags
__set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
res.w[1] = 0x7c00000000000000ull;
res.w[0] = 0;
BID_RETURN (res);
}
diff_expon = exponent_x - exponent_y;
if (diff_expon <= 0) {
diff_expon = -diff_expon;
if (diff_expon > 34) {
// |x|<|y| in this case
res = x;
BID_RETURN (res);
}
// set exponent of y to exponent_x, scale coefficient_y
T = power10_table_128[diff_expon];
__mul_128x128_to_256 (P256, CY, T);
if (P256.w[2] || P256.w[3]) {
// |x|<|y| in this case
res = x;
BID_RETURN (res);
}
CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
CX2.w[0] = CX.w[0] << 1;
if (__unsigned_compare_ge_128 (P256, CX2)) {
// |x|<|y| in this case
res = x;
BID_RETURN (res);
}
P128.w[0] = P256.w[0];
P128.w[1] = P256.w[1];
__div_128_by_128 (&CQ, &CR, CX, P128);
CX2.w[1] = (CR.w[1] << 1) | (CR.w[0] >> 63);
CX2.w[0] = CR.w[0] << 1;
if ((__unsigned_compare_gt_128 (CX2, P256))
|| (CX2.w[1] == P256.w[1] && CX2.w[0] == P256.w[0]
&& (CQ.w[0] & 1))) {
__sub_128_128 (CR, P256, CR);
sign_x ^= 0x8000000000000000ull;
}
get_BID128_very_fast (&res, sign_x, exponent_x, CR);
BID_RETURN (res);
}
// 2^64
f64.i = 0x5f800000;
scale0 = 38;
if (!CY.w[1])
scale0 = 34;
while (diff_expon > 0) {
// get number of digits in CX and scale=38-digits
// fx ~ CX
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
scale = scale0 - estimate_decimal_digits[bin_expon_cx];
// scale = 38-estimate_decimal_digits[bin_expon_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]))
scale--;
if (diff_expon >= scale)
diff_expon -= scale;
else {
scale = diff_expon;
diff_expon = 0;
}
T = power10_table_128[scale];
__mul_128x128_low (CXS, CX, T);
__div_128_by_128 (&CQ, &CX, CXS, CY);
// check for remainder == 0
if (!CX.w[1] && !CX.w[0]) {
get_BID128_very_fast (&res, sign_x, exponent_y, CX);
BID_RETURN (res);
}
}
CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
CX2.w[0] = CX.w[0] << 1;
if ((__unsigned_compare_gt_128 (CX2, CY))
|| (CX2.w[1] == CY.w[1] && CX2.w[0] == CY.w[0] && (CQ.w[0] & 1))) {
__sub_128_128 (CX, CY, CX);
sign_x ^= 0x8000000000000000ull;
}
get_BID128_very_fast (&res, sign_x, exponent_y, CX);
BID_RETURN (res);
}
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