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-rw-r--r--gcc-4.4.3/libgcc/config/libbid/bid128_div.c1851
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diff --git a/gcc-4.4.3/libgcc/config/libbid/bid128_div.c b/gcc-4.4.3/libgcc/config/libbid/bid128_div.c
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+++ b/gcc-4.4.3/libgcc/config/libbid/bid128_div.c
@@ -0,0 +1,1851 @@
+/* Copyright (C) 2007, 2009 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_div_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
+
+extern UINT32 convert_table[5][128][2];
+extern SINT8 factors[][2];
+extern UINT8 packed_10000_zeros[];
+
+BID128_FUNCTION_ARG2 (bid128_div, x, y)
+
+ UINT256 CA4, CA4r, P256;
+ UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, Ql, res;
+ UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, PD,
+ valid_y;
+ int_float fx, fy, f64;
+ UINT32 QX32, tdigit[3], digit, digit_h, digit_low;
+ int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2,
+ digits_q, amount;
+ int nzeros, i, j, k, d5;
+ unsigned rmode;
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ fexcept_t binaryflags = 0;
+#endif
+
+valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y);
+
+ // unpack arguments, check for NaN or Infinity
+if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
+ // test if x is NaN
+if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
+#ifdef SET_STATUS_FLAGS
+ if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull || // sNaN
+ (y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull)
+ __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) == 0x7800000000000000ull))
+ // return NaN
+ {
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+ res.w[1] = 0x7c00000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ // y is NaN?
+ if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull))
+ // return NaN
+ {
+ // return +/-Inf
+ res.w[1] = ((x.w[1] ^ y.w[1]) & 0x8000000000000000ull) |
+ 0x7800000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+}
+ // x is 0
+if ((y.w[1] & 0x7800000000000000ull) < 0x7800000000000000ull) {
+ if ((!CY.w[0]) && !(CY.w[1] & 0x0001ffffffffffffull)) {
+#ifdef 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);
+ }
+ // return 0
+ res.w[1] = (x.w[1] ^ y.w[1]) & 0x8000000000000000ull;
+ exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128;
+ if (exponent_x > DECIMAL_MAX_EXPON_128)
+ exponent_x = DECIMAL_MAX_EXPON_128;
+ else if (exponent_x < 0)
+ exponent_x = 0;
+ res.w[1] |= (((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] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // 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 +/-0
+ res.w[1] = sign_x ^ sign_y;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ // y is 0, return +/-Inf
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION);
+#endif
+ res.w[1] =
+ ((x.w[1] ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+}
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128;
+
+if (__unsigned_compare_gt_128 (CY, CX)) {
+ // CX < CY
+
+ // 2^64
+ f64.i = 0x5f800000;
+
+ // fx ~ CX, fy ~ CY
+ fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
+ fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0];
+ // expon_cy - expon_cx
+ bin_index = (fy.i - fx.i) >> 23;
+
+ if (CX.w[1]) {
+ T = power10_index_binexp_128[bin_index].w[0];
+ __mul_64x128_short (CA, T, CX);
+ } else {
+ T128 = power10_index_binexp_128[bin_index];
+ __mul_64x128_short (CA, CX.w[0], T128);
+ }
+
+ ed2 = 33;
+ if (__unsigned_compare_gt_128 (CY, CA))
+ ed2++;
+
+ T128 = power10_table_128[ed2];
+ __mul_128x128_to_256 (CA4, CA, T128);
+
+ ed2 += estimate_decimal_digits[bin_index];
+ CQ.w[0] = CQ.w[1] = 0;
+ diff_expon = diff_expon - ed2;
+
+} else {
+ // get CQ = CX/CY
+ __div_128_by_128 (&CQ, &CR, CX, CY);
+
+ if (!CR.w[1] && !CR.w[0]) {
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,
+ pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+ // get number of decimal digits in CQ
+ // 2^64
+ f64.i = 0x5f800000;
+ fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0];
+ // binary expon. of CQ
+ bin_expon = (fx.i - 0x3f800000) >> 23;
+
+ digits_q = estimate_decimal_digits[bin_expon];
+ TP128.w[0] = power10_index_binexp_128[bin_expon].w[0];
+ TP128.w[1] = power10_index_binexp_128[bin_expon].w[1];
+ if (__unsigned_compare_ge_128 (CQ, TP128))
+ digits_q++;
+
+ ed2 = 34 - digits_q;
+ T128.w[0] = power10_table_128[ed2].w[0];
+ T128.w[1] = power10_table_128[ed2].w[1];
+ __mul_128x128_to_256 (CA4, CR, T128);
+ diff_expon = diff_expon - ed2;
+ __mul_128x128_low (CQ, CQ, T128);
+
+}
+
+__div_256_by_128 (&CQ, &CA4, CY);
+
+#ifdef SET_STATUS_FLAGS
+if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+}
+#ifndef LEAVE_TRAILING_ZEROS
+else
+#endif
+#else
+#ifndef LEAVE_TRAILING_ZEROS
+if (!CA4.w[0] && !CA4.w[1])
+#endif
+#endif
+#ifndef LEAVE_TRAILING_ZEROS
+ // check whether result is exact
+{
+ // check whether CX, CY are short
+ if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) {
+ i = (int) CY.w[0] - 1;
+ j = (int) CX.w[0] - 1;
+ // difference in powers of 2 factors for Y and X
+ nzeros = ed2 - factors[i][0] + factors[j][0];
+ // difference in powers of 5 factors
+ d5 = ed2 - factors[i][1] + factors[j][1];
+ if (d5 < nzeros)
+ nzeros = d5;
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128_long (CQ, Qh, amount);
+
+ diff_expon += nzeros;
+ } else {
+ // decompose Q as Qh*10^17 + Ql
+ //T128 = reciprocals10_128[17];
+ T128.w[0] = 0x44909befeb9fad49ull;
+ T128.w[1] = 0x000b877aa3236a4bull;
+ __mul_128x128_to_256 (P256, CQ, T128);
+ //amount = recip_scale[17];
+ Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44));
+ Q_low = CQ.w[0] - Q_high * 100000000000000000ull;
+
+ if (!Q_low) {
+ diff_expon += 17;
+
+ tdigit[0] = Q_high & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_high >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]);
+
+ // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64
+ amount = short_recip_scale[nzeros];
+ CQ.w[0] = CQ.w[1] >> amount;
+ } else
+ CQ.w[0] = Q_high;
+ CQ.w[1] = 0;
+
+ diff_expon += nzeros;
+ } else {
+ tdigit[0] = Q_low & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_low >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+
+ //now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128 (CQ, Qh, amount);
+ }
+ diff_expon += nzeros;
+
+ }
+ }
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+}
+#endif
+
+if (diff_expon >= 0) {
+#ifdef IEEE_ROUND_NEAREST
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+#ifdef IEEE_ROUND_NEAREST_TIES_AWAY
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+ rmode = rnd_mode;
+ if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2)
+ rmode = 3 - rmode;
+ switch (rmode) {
+ case ROUNDING_TO_NEAREST: // round to nearest code
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_TIES_AWAY:
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_DOWN:
+ case ROUNDING_TO_ZERO:
+ break;
+ default: // rounding up
+ CQ.w[0]++;
+ if (!CQ.w[0])
+ CQ.w[1]++;
+ break;
+ }
+#endif
+#endif
+
+} else {
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#endif
+
+ handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ,
+ CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+
+}
+
+get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+BID_RETURN (res);
+}
+
+
+//#define LEAVE_TRAILING_ZEROS
+
+TYPE0_FUNCTION_ARGTYPE1_ARGTYPE2 (UINT128, bid128dd_div, UINT64, x,
+ UINT64, y)
+
+ UINT256 CA4, CA4r, P256;
+ UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, Ql, res;
+ UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, PD,
+ valid_y;
+ int_float fx, fy, f64;
+ UINT32 QX32, tdigit[3], digit, digit_h, digit_low;
+ int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2,
+ digits_q, amount;
+ int nzeros, i, j, k, d5;
+ unsigned rmode;
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ fexcept_t binaryflags = 0;
+#endif
+
+valid_y = unpack_BID64 (&sign_y, &exponent_y, &CY.w[0], y);
+
+ // unpack arguments, check for NaN or Infinity
+CX.w[1] = 0;
+if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], (x))) {
+#ifdef SET_STATUS_FLAGS
+if ((y & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+
+ // test if x is NaN
+if ((x & NAN_MASK64) == NAN_MASK64) {
+#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) {
+ // check if y is Inf.
+ if ((((y) & 0x7c00000000000000ull) == 0x7800000000000000ull))
+ // return NaN
+ {
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+ res.w[1] = 0x7c00000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ if ((((y) & 0x7c00000000000000ull) != 0x7c00000000000000ull)) {
+ // otherwise return +/-Inf
+ res.w[1] =
+ (((x) ^ (y)) & 0x8000000000000000ull) | 0x7800000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+}
+ // x is 0
+if ((((y) & 0x7800000000000000ull) != 0x7800000000000000ull)) {
+ if(!CY.w[0]) {
+#ifdef 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);
+}
+ // return 0
+res.w[1] = ((x) ^ (y)) & 0x8000000000000000ull;
+if (((y) & 0x6000000000000000ull) == 0x6000000000000000ull)
+ exponent_y = ((UINT32) ((y) >> 51)) & 0x3ff;
+else
+ exponent_y = ((UINT32) ((y) >> 53)) & 0x3ff;
+exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128;
+if (exponent_x > DECIMAL_MAX_EXPON_128)
+ exponent_x = DECIMAL_MAX_EXPON_128;
+else if (exponent_x < 0)
+ exponent_x = 0;
+res.w[1] |= (((UINT64) exponent_x) << 49);
+res.w[0] = 0;
+BID_RETURN (res);
+}
+}
+
+CY.w[1] = 0;
+if (!valid_y) {
+ // y is Inf. or NaN
+
+ // test if y is NaN
+ if ((y & NAN_MASK64) == NAN_MASK64) {
+#ifdef SET_STATUS_FLAGS
+ if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+ res.w[0] = (CY.w[0] & 0x0003ffffffffffffull);
+ __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]);
+ res.w[1] |= ((CY.w[0]) & 0xfc00000000000000ull);
+ BID_RETURN (res);
+ }
+ // y is Infinity?
+ if (((y) & 0x7800000000000000ull) == 0x7800000000000000ull) {
+ // return +/-0
+ res.w[1] = sign_x ^ sign_y;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ // y is 0, return +/-Inf
+ res.w[1] =
+ (((x) ^ (y)) & 0x8000000000000000ull) | 0x7800000000000000ull;
+ res.w[0] = 0;
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION);
+#endif
+ BID_RETURN (res);
+}
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128;
+
+if (__unsigned_compare_gt_128 (CY, CX)) {
+ // CX < CY
+
+ // 2^64
+ f64.i = 0x5f800000;
+
+ // fx ~ CX, fy ~ CY
+ fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
+ fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0];
+ // expon_cy - expon_cx
+ bin_index = (fy.i - fx.i) >> 23;
+
+ if (CX.w[1]) {
+ T = power10_index_binexp_128[bin_index].w[0];
+ __mul_64x128_short (CA, T, CX);
+ } else {
+ T128 = power10_index_binexp_128[bin_index];
+ __mul_64x128_short (CA, CX.w[0], T128);
+ }
+
+ ed2 = 33;
+ if (__unsigned_compare_gt_128 (CY, CA))
+ ed2++;
+
+ T128 = power10_table_128[ed2];
+ __mul_128x128_to_256 (CA4, CA, T128);
+
+ ed2 += estimate_decimal_digits[bin_index];
+ CQ.w[0] = CQ.w[1] = 0;
+ diff_expon = diff_expon - ed2;
+
+} else {
+ // get CQ = CX/CY
+ __div_128_by_128 (&CQ, &CR, CX, CY);
+
+ if (!CR.w[1] && !CR.w[0]) {
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,
+ pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+ // get number of decimal digits in CQ
+ // 2^64
+ f64.i = 0x5f800000;
+ fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0];
+ // binary expon. of CQ
+ bin_expon = (fx.i - 0x3f800000) >> 23;
+
+ digits_q = estimate_decimal_digits[bin_expon];
+ TP128.w[0] = power10_index_binexp_128[bin_expon].w[0];
+ TP128.w[1] = power10_index_binexp_128[bin_expon].w[1];
+ if (__unsigned_compare_ge_128 (CQ, TP128))
+ digits_q++;
+
+ ed2 = 34 - digits_q;
+ T128.w[0] = power10_table_128[ed2].w[0];
+ T128.w[1] = power10_table_128[ed2].w[1];
+ __mul_128x128_to_256 (CA4, CR, T128);
+ diff_expon = diff_expon - ed2;
+ __mul_128x128_low (CQ, CQ, T128);
+
+}
+
+__div_256_by_128 (&CQ, &CA4, CY);
+
+
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#ifndef LEAVE_TRAILING_ZEROS
+ else
+#endif
+#else
+#ifndef LEAVE_TRAILING_ZEROS
+ if (!CA4.w[0] && !CA4.w[1])
+#endif
+#endif
+#ifndef LEAVE_TRAILING_ZEROS
+ // check whether result is exact
+ {
+ // check whether CX, CY are short
+ if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) {
+ i = (int) CY.w[0] - 1;
+ j = (int) CX.w[0] - 1;
+ // difference in powers of 2 factors for Y and X
+ nzeros = ed2 - factors[i][0] + factors[j][0];
+ // difference in powers of 5 factors
+ d5 = ed2 - factors[i][1] + factors[j][1];
+ if (d5 < nzeros)
+ nzeros = d5;
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+ //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2];
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128_long (CQ, Qh, amount);
+
+ diff_expon += nzeros;
+ } else {
+ // decompose Q as Qh*10^17 + Ql
+ //T128 = reciprocals10_128[17];
+ T128.w[0] = 0x44909befeb9fad49ull;
+ T128.w[1] = 0x000b877aa3236a4bull;
+ __mul_128x128_to_256 (P256, CQ, T128);
+ //amount = recip_scale[17];
+ Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44));
+ Q_low = CQ.w[0] - Q_high * 100000000000000000ull;
+
+ if (!Q_low) {
+ diff_expon += 17;
+
+ tdigit[0] = Q_high & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_high >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]);
+
+ // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64
+ amount = short_recip_scale[nzeros];
+ CQ.w[0] = CQ.w[1] >> amount;
+ } else
+ CQ.w[0] = Q_high;
+ CQ.w[1] = 0;
+
+ diff_expon += nzeros;
+ } else {
+ tdigit[0] = Q_low & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_low >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128 (CQ, Qh, amount);
+ }
+ diff_expon += nzeros;
+
+ }
+ }
+ get_BID128(&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+#endif
+
+if (diff_expon >= 0) {
+#ifdef IEEE_ROUND_NEAREST
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+#ifdef IEEE_ROUND_NEAREST_TIES_AWAY
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+ rmode = rnd_mode;
+ if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2)
+ rmode = 3 - rmode;
+ switch (rmode) {
+ case ROUNDING_TO_NEAREST: // round to nearest code
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_TIES_AWAY:
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_DOWN:
+ case ROUNDING_TO_ZERO:
+ break;
+ default: // rounding up
+ CQ.w[0]++;
+ if (!CQ.w[0])
+ CQ.w[1]++;
+ break;
+ }
+#endif
+#endif
+
+} else {
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#endif
+ handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ,
+ CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+
+}
+
+get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+BID_RETURN (res);
+}
+
+
+BID128_FUNCTION_ARGTYPE1_ARG128 (bid128dq_div, UINT64, x, y)
+ UINT256 CA4, CA4r, P256;
+ UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, Ql, res;
+ UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, valid_y,
+ PD;
+ int_float fx, fy, f64;
+ UINT32 QX32, tdigit[3], digit, digit_h, digit_low;
+ int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2,
+ digits_q, amount;
+ int nzeros, i, j, k, d5;
+ unsigned rmode;
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ fexcept_t binaryflags = 0;
+#endif
+
+valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y);
+
+ // unpack arguments, check for NaN or Infinity
+CX.w[1] = 0;
+if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], 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 & NAN_MASK64) == NAN_MASK64) {
+#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) {
+ // check if y is Inf.
+ if (((y.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull))
+ // return NaN
+ {
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+ res.w[1] = 0x7c00000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull)) {
+ // otherwise return +/-Inf
+ res.w[1] =
+ ((x ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+}
+ // x is 0
+if ((y.w[1] & INFINITY_MASK64) != INFINITY_MASK64) {
+ if ((!CY.w[0]) && !(CY.w[1] & 0x0001ffffffffffffull)) {
+#ifdef 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);
+ }
+ // return 0
+ res.w[1] = (x ^ y.w[1]) & 0x8000000000000000ull;
+ exponent_x = exponent_x - exponent_y + (DECIMAL_EXPONENT_BIAS_128<<1) - DECIMAL_EXPONENT_BIAS;
+ if (exponent_x > DECIMAL_MAX_EXPON_128)
+ exponent_x = DECIMAL_MAX_EXPON_128;
+ else if (exponent_x < 0)
+ exponent_x = 0;
+ res.w[1] |= (((UINT64) exponent_x) << 49);
+ res.w[0] = 0;
+ BID_RETURN (res);
+}
+}
+exponent_x += (DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS);
+
+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] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // 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 +/-0
+ res.w[1] = sign_x ^ sign_y;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ // y is 0, return +/-Inf
+ res.w[1] =
+ ((x ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull;
+ res.w[0] = 0;
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION);
+#endif
+ BID_RETURN (res);
+}
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128;
+
+if (__unsigned_compare_gt_128 (CY, CX)) {
+ // CX < CY
+
+ // 2^64
+ f64.i = 0x5f800000;
+
+ // fx ~ CX, fy ~ CY
+ fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
+ fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0];
+ // expon_cy - expon_cx
+ bin_index = (fy.i - fx.i) >> 23;
+
+ if (CX.w[1]) {
+ T = power10_index_binexp_128[bin_index].w[0];
+ __mul_64x128_short (CA, T, CX);
+ } else {
+ T128 = power10_index_binexp_128[bin_index];
+ __mul_64x128_short (CA, CX.w[0], T128);
+ }
+
+ ed2 = 33;
+ if (__unsigned_compare_gt_128 (CY, CA))
+ ed2++;
+
+ T128 = power10_table_128[ed2];
+ __mul_128x128_to_256 (CA4, CA, T128);
+
+ ed2 += estimate_decimal_digits[bin_index];
+ CQ.w[0] = CQ.w[1] = 0;
+ diff_expon = diff_expon - ed2;
+
+} else {
+ // get CQ = CX/CY
+ __div_128_by_128 (&CQ, &CR, CX, CY);
+
+ if (!CR.w[1] && !CR.w[0]) {
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,
+ pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+ // get number of decimal digits in CQ
+ // 2^64
+ f64.i = 0x5f800000;
+ fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0];
+ // binary expon. of CQ
+ bin_expon = (fx.i - 0x3f800000) >> 23;
+
+ digits_q = estimate_decimal_digits[bin_expon];
+ TP128.w[0] = power10_index_binexp_128[bin_expon].w[0];
+ TP128.w[1] = power10_index_binexp_128[bin_expon].w[1];
+ if (__unsigned_compare_ge_128 (CQ, TP128))
+ digits_q++;
+
+ ed2 = 34 - digits_q;
+ T128.w[0] = power10_table_128[ed2].w[0];
+ T128.w[1] = power10_table_128[ed2].w[1];
+ __mul_128x128_to_256 (CA4, CR, T128);
+ diff_expon = diff_expon - ed2;
+ __mul_128x128_low (CQ, CQ, T128);
+
+}
+
+__div_256_by_128 (&CQ, &CA4, CY);
+
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#ifndef LEAVE_TRAILING_ZEROS
+ else
+#endif
+#else
+#ifndef LEAVE_TRAILING_ZEROS
+ if (!CA4.w[0] && !CA4.w[1])
+#endif
+#endif
+#ifndef LEAVE_TRAILING_ZEROS
+ // check whether result is exact
+ {
+ //printf("ed2=%d,nz=%d,a=%d,CQ="LX16","LX16", RH="LX16", RL="LX16"\n",ed2,nzeros,amount,CQ.w[1],CQ.w[0],reciprocals10_128[nzeros].w[1],reciprocals10_128[nzeros].w[0]);fflush(stdout);
+ // check whether CX, CY are short
+ if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) {
+ i = (int) CY.w[0] - 1;
+ j = (int) CX.w[0] - 1;
+ // difference in powers of 2 factors for Y and X
+ nzeros = ed2 - factors[i][0] + factors[j][0];
+ // difference in powers of 5 factors
+ d5 = ed2 - factors[i][1] + factors[j][1];
+ if (d5 < nzeros)
+ nzeros = d5;
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+ //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2];
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128_long (CQ, Qh, amount);
+
+ diff_expon += nzeros;
+ } else {
+ // decompose Q as Qh*10^17 + Ql
+ //T128 = reciprocals10_128[17];
+ T128.w[0] = 0x44909befeb9fad49ull;
+ T128.w[1] = 0x000b877aa3236a4bull;
+ __mul_128x128_to_256 (P256, CQ, T128);
+ //amount = recip_scale[17];
+ Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44));
+ Q_low = CQ.w[0] - Q_high * 100000000000000000ull;
+
+ if (!Q_low) {
+ diff_expon += 17;
+
+ tdigit[0] = Q_high & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_high >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ //printf("i=%d, nz=%d, digit=%d (%d, %016I64x %016I64x)\n",i,nzeros,digit_h,digit,PD,digit_h);fflush(stdout);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]);
+
+ // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64
+ amount = short_recip_scale[nzeros];
+ CQ.w[0] = CQ.w[1] >> amount;
+ } else
+ CQ.w[0] = Q_high;
+ CQ.w[1] = 0;
+
+ diff_expon += nzeros;
+ } else {
+ tdigit[0] = Q_low & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_low >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ //printf("i=%d, nz=%d, digit=%d (%d, %016I64x %016I64x)\n",i,nzeros,digit_h,digit,PD,digit_h);fflush(stdout);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128 (CQ, Qh, amount);
+ }
+ diff_expon += nzeros;
+
+ }
+ }
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,
+ pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+#endif
+
+if (diff_expon >= 0) {
+#ifdef IEEE_ROUND_NEAREST
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+#ifdef IEEE_ROUND_NEAREST_TIES_AWAY
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+ rmode = rnd_mode;
+ if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2)
+ rmode = 3 - rmode;
+ switch (rmode) {
+ case ROUNDING_TO_NEAREST: // round to nearest code
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_TIES_AWAY:
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_DOWN:
+ case ROUNDING_TO_ZERO:
+ break;
+ default: // rounding up
+ CQ.w[0]++;
+ if (!CQ.w[0])
+ CQ.w[1]++;
+ break;
+ }
+#endif
+#endif
+
+} else {
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#endif
+ handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ,
+ CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+}
+
+get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+BID_RETURN (res);
+
+}
+
+
+BID128_FUNCTION_ARG128_ARGTYPE2 (bid128qd_div, x, UINT64, y)
+ UINT256 CA4, CA4r, P256;
+ UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, Ql, res;
+ UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, PD,
+ valid_y;
+ int_float fx, fy, f64;
+ UINT32 QX32, tdigit[3], digit, digit_h, digit_low;
+ int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2,
+ digits_q, amount;
+ int nzeros, i, j, k, d5, rmode;
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ fexcept_t binaryflags = 0;
+#endif
+
+
+valid_y = unpack_BID64 (&sign_y, &exponent_y, &CY.w[0], y);
+ // unpack arguments, check for NaN or Infinity
+if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
+ // test if x is NaN
+if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
+#ifdef SET_STATUS_FLAGS
+ if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull || // sNaN
+ (y & 0x7e00000000000000ull) == 0x7e00000000000000ull)
+ __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 & 0x7c00000000000000ull) == 0x7800000000000000ull))
+ // return NaN
+ {
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+ res.w[1] = 0x7c00000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ // y is NaN?
+ if (((y & 0x7c00000000000000ull) != 0x7c00000000000000ull))
+ // return NaN
+ {
+ // return +/-Inf
+ res.w[1] = ((x.w[1] ^ y) & 0x8000000000000000ull) |
+ 0x7800000000000000ull;
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+}
+ // x is 0
+if ((y & 0x7800000000000000ull) < 0x7800000000000000ull) {
+ if (!CY.w[0]) {
+#ifdef 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);
+ }
+ // return 0
+ res.w[1] = (x.w[1] ^ y) & 0x8000000000000000ull;
+ exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS;
+ if (exponent_x > DECIMAL_MAX_EXPON_128)
+ exponent_x = DECIMAL_MAX_EXPON_128;
+ else if (exponent_x < 0)
+ exponent_x = 0;
+ res.w[1] |= (((UINT64) exponent_x) << 49);
+ res.w[0] = 0;
+ BID_RETURN (res);
+}
+}
+CY.w[1] = 0;
+if (!valid_y) {
+ // y is Inf. or NaN
+
+ // test if y is NaN
+ if ((y & NAN_MASK64) == NAN_MASK64) {
+#ifdef SET_STATUS_FLAGS
+ if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN
+ __set_status_flags (pfpsf, INVALID_EXCEPTION);
+#endif
+ res.w[0] = (CY.w[0] & 0x0003ffffffffffffull);
+ __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]);
+ res.w[1] |= ((CY.w[0]) & 0xfc00000000000000ull);
+ BID_RETURN (res);
+ }
+ // y is Infinity?
+ if ((y & INFINITY_MASK64) == INFINITY_MASK64) {
+ // return +/-0
+ res.w[1] = ((x.w[1] ^ y) & 0x8000000000000000ull);
+ res.w[0] = 0;
+ BID_RETURN (res);
+ }
+ // y is 0
+#ifdef SET_STATUS_FLAGS
+ __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION);
+#endif
+ res.w[1] = (sign_x ^ sign_y) | INFINITY_MASK64;
+ res.w[0] = 0;
+ BID_RETURN (res);
+}
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS;
+
+if (__unsigned_compare_gt_128 (CY, CX)) {
+ // CX < CY
+
+ // 2^64
+ f64.i = 0x5f800000;
+
+ // fx ~ CX, fy ~ CY
+ fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
+ fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0];
+ // expon_cy - expon_cx
+ bin_index = (fy.i - fx.i) >> 23;
+
+ if (CX.w[1]) {
+ T = power10_index_binexp_128[bin_index].w[0];
+ __mul_64x128_short (CA, T, CX);
+ } else {
+ T128 = power10_index_binexp_128[bin_index];
+ __mul_64x128_short (CA, CX.w[0], T128);
+ }
+
+ ed2 = 33;
+ if (__unsigned_compare_gt_128 (CY, CA))
+ ed2++;
+
+ T128 = power10_table_128[ed2];
+ __mul_128x128_to_256 (CA4, CA, T128);
+
+ ed2 += estimate_decimal_digits[bin_index];
+ CQ.w[0] = CQ.w[1] = 0;
+ diff_expon = diff_expon - ed2;
+
+} else {
+ // get CQ = CX/CY
+ __div_128_by_128 (&CQ, &CR, CX, CY);
+
+ if (!CR.w[1] && !CR.w[0]) {
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,
+ pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+ // get number of decimal digits in CQ
+ // 2^64
+ f64.i = 0x5f800000;
+ fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0];
+ // binary expon. of CQ
+ bin_expon = (fx.i - 0x3f800000) >> 23;
+
+ digits_q = estimate_decimal_digits[bin_expon];
+ TP128.w[0] = power10_index_binexp_128[bin_expon].w[0];
+ TP128.w[1] = power10_index_binexp_128[bin_expon].w[1];
+ if (__unsigned_compare_ge_128 (CQ, TP128))
+ digits_q++;
+
+ ed2 = 34 - digits_q;
+ T128.w[0] = power10_table_128[ed2].w[0];
+ T128.w[1] = power10_table_128[ed2].w[1];
+ __mul_128x128_to_256 (CA4, CR, T128);
+ diff_expon = diff_expon - ed2;
+ __mul_128x128_low (CQ, CQ, T128);
+
+}
+
+__div_256_by_128 (&CQ, &CA4, CY);
+
+
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#ifndef LEAVE_TRAILING_ZEROS
+ else
+#endif
+#else
+#ifndef LEAVE_TRAILING_ZEROS
+ if (!CA4.w[0] && !CA4.w[1])
+#endif
+#endif
+#ifndef LEAVE_TRAILING_ZEROS
+ // check whether result is exact
+ {
+ // check whether CX, CY are short
+ if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) {
+ i = (int) CY.w[0] - 1;
+ j = (int) CX.w[0] - 1;
+ // difference in powers of 2 factors for Y and X
+ nzeros = ed2 - factors[i][0] + factors[j][0];
+ // difference in powers of 5 factors
+ d5 = ed2 - factors[i][1] + factors[j][1];
+ if (d5 < nzeros)
+ nzeros = d5;
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+ //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2];
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128_long (CQ, Qh, amount);
+
+ diff_expon += nzeros;
+ } else {
+ // decompose Q as Qh*10^17 + Ql
+ //T128 = reciprocals10_128[17];
+ T128.w[0] = 0x44909befeb9fad49ull;
+ T128.w[1] = 0x000b877aa3236a4bull;
+ __mul_128x128_to_256 (P256, CQ, T128);
+ //amount = recip_scale[17];
+ Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44));
+ Q_low = CQ.w[0] - Q_high * 100000000000000000ull;
+
+ if (!Q_low) {
+ diff_expon += 17;
+
+ tdigit[0] = Q_high & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_high >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]);
+
+ // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64
+ amount = short_recip_scale[nzeros];
+ CQ.w[0] = CQ.w[1] >> amount;
+ } else
+ CQ.w[0] = Q_high;
+ CQ.w[1] = 0;
+
+ diff_expon += nzeros;
+ } else {
+ tdigit[0] = Q_low & 0x3ffffff;
+ tdigit[1] = 0;
+ QX = Q_low >> 26;
+ QX32 = QX;
+ nzeros = 0;
+
+ for (j = 0; QX32; j++, QX32 >>= 7) {
+ k = (QX32 & 127);
+ tdigit[0] += convert_table[j][k][0];
+ tdigit[1] += convert_table[j][k][1];
+ if (tdigit[0] >= 100000000) {
+ tdigit[0] -= 100000000;
+ tdigit[1]++;
+ }
+ }
+
+ if (tdigit[1] >= 100000000) {
+ tdigit[1] -= 100000000;
+ if (tdigit[1] >= 100000000)
+ tdigit[1] -= 100000000;
+ }
+
+ digit = tdigit[0];
+ if (!digit && !tdigit[1])
+ nzeros += 16;
+ else {
+ if (!digit) {
+ nzeros += 8;
+ digit = tdigit[1];
+ }
+ // decompose digit
+ PD = (UINT64) digit *0x068DB8BBull;
+ digit_h = (UINT32) (PD >> 40);
+ digit_low = digit - digit_h * 10000;
+
+ if (!digit_low)
+ nzeros += 4;
+ else
+ digit_h = digit_low;
+
+ if (!(digit_h & 1))
+ nzeros +=
+ 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >>
+ (digit_h & 7));
+ }
+
+ if (nzeros) {
+ // get P*(2^M[extra_digits])/10^extra_digits
+ __mul_128x128_full (Qh, Ql, CQ, reciprocals10_128[nzeros]);
+
+ // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128
+ amount = recip_scale[nzeros];
+ __shr_128 (CQ, Qh, amount);
+ }
+ diff_expon += nzeros;
+
+ }
+ }
+ get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+ }
+#endif
+
+if (diff_expon >= 0) {
+#ifdef IEEE_ROUND_NEAREST
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+#ifdef IEEE_ROUND_NEAREST_TIES_AWAY
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+#else
+ rmode = rnd_mode;
+ if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2)
+ rmode = 3 - rmode;
+ switch (rmode) {
+ case ROUNDING_TO_NEAREST: // round to nearest code
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D);
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_TIES_AWAY:
+ // rounding
+ // 2*CA4 - CY
+ CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63);
+ CA4r.w[0] = CA4.w[0] + CA4.w[0];
+ __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]);
+ CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64;
+ D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1;
+ carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D;
+ CQ.w[0] += carry64;
+ if (CQ.w[0] < carry64)
+ CQ.w[1]++;
+ break;
+ case ROUNDING_DOWN:
+ case ROUNDING_TO_ZERO:
+ break;
+ default: // rounding up
+ CQ.w[0]++;
+ if (!CQ.w[0])
+ CQ.w[1]++;
+ break;
+ }
+#endif
+#endif
+
+} else {
+#ifdef SET_STATUS_FLAGS
+ if (CA4.w[0] || CA4.w[1]) {
+ // set status flags
+ __set_status_flags (pfpsf, INEXACT_EXCEPTION);
+ }
+#endif
+ handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ,
+ CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+ (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+ BID_RETURN (res);
+
+}
+
+get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf);
+#ifdef UNCHANGED_BINARY_STATUS_FLAGS
+(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
+#endif
+BID_RETURN (res);
+
+}
generated by cgit v1.2.3 (git 2.25.1) at 2024-04-25 06:39:12 +0000