/* Copyright (C) 2007, 2009 Free Software Foundation, Inc.
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/* Copyright (C) 2007, 2009 Free Software Foundation, Inc.
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This file is part of GCC.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 3, or (at your option) any later
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Software Foundation; either version 3, or (at your option) any later
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version.
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version.
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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for more details.
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Under Section 7 of GPL version 3, you are granted additional
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Under Section 7 of GPL version 3, you are granted additional
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permissions described in the GCC Runtime Library Exception, version
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permissions described in the GCC Runtime Library Exception, version
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3.1, as published by the Free Software Foundation.
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3.1, as published by the Free Software Foundation.
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You should have received a copy of the GNU General Public License and
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You should have received a copy of the GNU General Public License and
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a copy of the GCC Runtime Library Exception along with this program;
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a copy of the GCC Runtime Library Exception along with this program;
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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<http://www.gnu.org/licenses/>. */
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<http://www.gnu.org/licenses/>. */
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#include "bid_internal.h"
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#include "bid_internal.h"
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#define MAX_FORMAT_DIGITS 16
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#define MAX_FORMAT_DIGITS 16
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#define DECIMAL_EXPONENT_BIAS 398
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#define DECIMAL_EXPONENT_BIAS 398
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#define MAX_DECIMAL_EXPONENT 767
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#define MAX_DECIMAL_EXPONENT 767
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#if DECIMAL_CALL_BY_REFERENCE
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#if DECIMAL_CALL_BY_REFERENCE
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void
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void
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bid64_quantize (UINT64 * pres, UINT64 * px,
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bid64_quantize (UINT64 * pres, UINT64 * px,
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UINT64 *
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UINT64 *
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py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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_EXC_INFO_PARAM) {
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UINT64 x, y;
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UINT64 x, y;
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#else
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#else
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UINT64
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UINT64
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bid64_quantize (UINT64 x,
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bid64_quantize (UINT64 x,
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UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM
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UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM
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_EXC_MASKS_PARAM _EXC_INFO_PARAM) {
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_EXC_MASKS_PARAM _EXC_INFO_PARAM) {
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#endif
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#endif
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UINT128 CT;
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UINT128 CT;
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UINT64 sign_x, sign_y, coefficient_x, coefficient_y, remainder_h, C64,
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UINT64 sign_x, sign_y, coefficient_x, coefficient_y, remainder_h, C64,
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valid_x;
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valid_x;
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UINT64 tmp, carry, res;
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UINT64 tmp, carry, res;
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int_float tempx;
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int_float tempx;
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int exponent_x, exponent_y, digits_x, extra_digits, amount, amount2;
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int exponent_x, exponent_y, digits_x, extra_digits, amount, amount2;
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int expon_diff, total_digits, bin_expon_cx;
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int expon_diff, total_digits, bin_expon_cx;
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unsigned rmode, status;
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unsigned rmode, status;
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#if DECIMAL_CALL_BY_REFERENCE
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#if DECIMAL_CALL_BY_REFERENCE
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#if !DECIMAL_GLOBAL_ROUNDING
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#if !DECIMAL_GLOBAL_ROUNDING
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_IDEC_round rnd_mode = *prnd_mode;
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_IDEC_round rnd_mode = *prnd_mode;
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#endif
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#endif
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x = *px;
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x = *px;
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y = *py;
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y = *py;
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#endif
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#endif
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valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x);
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valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x);
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// unpack arguments, check for NaN or Infinity
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// unpack arguments, check for NaN or Infinity
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if (!unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y)) {
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if (!unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y)) {
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// Inf. or NaN or 0
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// Inf. or NaN or 0
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#ifdef SET_STATUS_FLAGS
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#ifdef SET_STATUS_FLAGS
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if ((x & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
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if ((x & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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#endif
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#endif
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// x=Inf, y=Inf?
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// x=Inf, y=Inf?
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if (((coefficient_x << 1) == 0xf000000000000000ull)
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if (((coefficient_x << 1) == 0xf000000000000000ull)
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&& ((coefficient_y << 1) == 0xf000000000000000ull)) {
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&& ((coefficient_y << 1) == 0xf000000000000000ull)) {
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res = coefficient_x;
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res = coefficient_x;
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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// Inf or NaN?
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// Inf or NaN?
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if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) {
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if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) {
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#ifdef SET_STATUS_FLAGS
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#ifdef SET_STATUS_FLAGS
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if (((y & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
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if (((y & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
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|| (((y & 0x7c00000000000000ull) == 0x7800000000000000ull) && //Inf
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|| (((y & 0x7c00000000000000ull) == 0x7800000000000000ull) && //Inf
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((x & 0x7c00000000000000ull) < 0x7800000000000000ull)))
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((x & 0x7c00000000000000ull) < 0x7800000000000000ull)))
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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#endif
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#endif
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if ((y & NAN_MASK64) != NAN_MASK64)
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if ((y & NAN_MASK64) != NAN_MASK64)
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coefficient_y = 0;
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coefficient_y = 0;
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if ((x & NAN_MASK64) != NAN_MASK64) {
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if ((x & NAN_MASK64) != NAN_MASK64) {
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res = 0x7c00000000000000ull | (coefficient_y & QUIET_MASK64);
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res = 0x7c00000000000000ull | (coefficient_y & QUIET_MASK64);
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if (((y & NAN_MASK64) != NAN_MASK64) && ((x & NAN_MASK64) == 0x7800000000000000ull))
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if (((y & NAN_MASK64) != NAN_MASK64) && ((x & NAN_MASK64) == 0x7800000000000000ull))
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res = x;
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res = x;
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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}
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}
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}
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}
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// unpack arguments, check for NaN or Infinity
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// unpack arguments, check for NaN or Infinity
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if (!valid_x) {
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if (!valid_x) {
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// x is Inf. or NaN or 0
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// x is Inf. or NaN or 0
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// Inf or NaN?
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// Inf or NaN?
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if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
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if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
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#ifdef SET_STATUS_FLAGS
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#ifdef SET_STATUS_FLAGS
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if (((x & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
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if (((x & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
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|| ((x & 0x7c00000000000000ull) == 0x7800000000000000ull)) //Inf
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|| ((x & 0x7c00000000000000ull) == 0x7800000000000000ull)) //Inf
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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#endif
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#endif
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if ((x & NAN_MASK64) != NAN_MASK64)
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if ((x & NAN_MASK64) != NAN_MASK64)
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coefficient_x = 0;
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coefficient_x = 0;
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res = 0x7c00000000000000ull | (coefficient_x & QUIET_MASK64);
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res = 0x7c00000000000000ull | (coefficient_x & QUIET_MASK64);
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, 0);
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res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, 0);
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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// get number of decimal digits in coefficient_x
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// get number of decimal digits in coefficient_x
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tempx.d = (float) coefficient_x;
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tempx.d = (float) coefficient_x;
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bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
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bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
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digits_x = estimate_decimal_digits[bin_expon_cx];
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digits_x = estimate_decimal_digits[bin_expon_cx];
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if (coefficient_x >= power10_table_128[digits_x].w[0])
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if (coefficient_x >= power10_table_128[digits_x].w[0])
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digits_x++;
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digits_x++;
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expon_diff = exponent_x - exponent_y;
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expon_diff = exponent_x - exponent_y;
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total_digits = digits_x + expon_diff;
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total_digits = digits_x + expon_diff;
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// check range of scaled coefficient
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// check range of scaled coefficient
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if ((UINT32) (total_digits + 1) <= 17) {
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if ((UINT32) (total_digits + 1) <= 17) {
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if (expon_diff >= 0) {
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if (expon_diff >= 0) {
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coefficient_x *= power10_table_128[expon_diff].w[0];
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coefficient_x *= power10_table_128[expon_diff].w[0];
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res = very_fast_get_BID64 (sign_x, exponent_y, coefficient_x);
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res = very_fast_get_BID64 (sign_x, exponent_y, coefficient_x);
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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// must round off -expon_diff digits
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// must round off -expon_diff digits
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extra_digits = -expon_diff;
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extra_digits = -expon_diff;
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#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
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#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
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#ifndef IEEE_ROUND_NEAREST
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#ifndef IEEE_ROUND_NEAREST
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rmode = rnd_mode;
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rmode = rnd_mode;
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if (sign_x && (unsigned) (rmode - 1) < 2)
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if (sign_x && (unsigned) (rmode - 1) < 2)
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rmode = 3 - rmode;
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rmode = 3 - rmode;
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#else
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#else
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rmode = 0;
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rmode = 0;
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#endif
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#endif
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#else
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#else
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rmode = 0;
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rmode = 0;
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#endif
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#endif
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coefficient_x += round_const_table[rmode][extra_digits];
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coefficient_x += round_const_table[rmode][extra_digits];
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// get P*(2^M[extra_digits])/10^extra_digits
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// get P*(2^M[extra_digits])/10^extra_digits
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__mul_64x64_to_128 (CT, coefficient_x,
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__mul_64x64_to_128 (CT, coefficient_x,
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reciprocals10_64[extra_digits]);
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reciprocals10_64[extra_digits]);
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// now get P/10^extra_digits: shift C64 right by M[extra_digits]-128
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// now get P/10^extra_digits: shift C64 right by M[extra_digits]-128
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amount = short_recip_scale[extra_digits];
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amount = short_recip_scale[extra_digits];
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C64 = CT.w[1] >> amount;
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C64 = CT.w[1] >> amount;
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#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
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#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
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#ifndef IEEE_ROUND_NEAREST
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#ifndef IEEE_ROUND_NEAREST
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if (rnd_mode == 0)
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if (rnd_mode == 0)
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#endif
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#endif
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if (C64 & 1) {
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if (C64 & 1) {
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// check whether fractional part of initial_P/10^extra_digits
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// check whether fractional part of initial_P/10^extra_digits
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// is exactly .5
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// is exactly .5
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// this is the same as fractional part of
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// this is the same as fractional part of
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// (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero
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// (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero
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// get remainder
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// get remainder
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amount2 = 64 - amount;
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amount2 = 64 - amount;
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remainder_h = 0;
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remainder_h = 0;
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remainder_h--;
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remainder_h--;
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remainder_h >>= amount2;
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remainder_h >>= amount2;
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remainder_h = remainder_h & CT.w[1];
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remainder_h = remainder_h & CT.w[1];
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// test whether fractional part is 0
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// test whether fractional part is 0
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if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) {
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if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) {
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C64--;
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C64--;
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}
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}
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}
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}
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#endif
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#endif
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#ifdef SET_STATUS_FLAGS
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#ifdef SET_STATUS_FLAGS
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status = INEXACT_EXCEPTION;
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status = INEXACT_EXCEPTION;
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// get remainder
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// get remainder
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remainder_h = CT.w[1] << (64 - amount);
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remainder_h = CT.w[1] << (64 - amount);
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switch (rmode) {
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switch (rmode) {
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case ROUNDING_TO_NEAREST:
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case ROUNDING_TO_NEAREST:
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case ROUNDING_TIES_AWAY:
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case ROUNDING_TIES_AWAY:
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// test whether fractional part is 0
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// test whether fractional part is 0
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if ((remainder_h == 0x8000000000000000ull)
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if ((remainder_h == 0x8000000000000000ull)
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&& (CT.w[0] < reciprocals10_64[extra_digits]))
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&& (CT.w[0] < reciprocals10_64[extra_digits]))
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status = EXACT_STATUS;
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status = EXACT_STATUS;
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break;
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break;
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case ROUNDING_DOWN:
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case ROUNDING_DOWN:
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case ROUNDING_TO_ZERO:
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case ROUNDING_TO_ZERO:
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if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits]))
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if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits]))
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status = EXACT_STATUS;
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status = EXACT_STATUS;
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//if(!C64 && rmode==ROUNDING_DOWN) sign_s=sign_y;
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//if(!C64 && rmode==ROUNDING_DOWN) sign_s=sign_y;
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break;
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break;
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default:
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default:
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// round up
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// round up
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__add_carry_out (tmp, carry, CT.w[0],
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__add_carry_out (tmp, carry, CT.w[0],
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reciprocals10_64[extra_digits]);
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reciprocals10_64[extra_digits]);
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if ((remainder_h >> (64 - amount)) + carry >=
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if ((remainder_h >> (64 - amount)) + carry >=
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(((UINT64) 1) << amount))
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(((UINT64) 1) << amount))
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status = EXACT_STATUS;
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status = EXACT_STATUS;
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break;
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break;
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}
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}
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__set_status_flags (pfpsf, status);
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__set_status_flags (pfpsf, status);
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#endif
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#endif
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res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
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res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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if (total_digits < 0) {
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if (total_digits < 0) {
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#ifdef SET_STATUS_FLAGS
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#ifdef SET_STATUS_FLAGS
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__set_status_flags (pfpsf, INEXACT_EXCEPTION);
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__set_status_flags (pfpsf, INEXACT_EXCEPTION);
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#endif
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#endif
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C64 = 0;
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C64 = 0;
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#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
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#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
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#ifndef IEEE_ROUND_NEAREST
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#ifndef IEEE_ROUND_NEAREST
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rmode = rnd_mode;
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rmode = rnd_mode;
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if (sign_x && (unsigned) (rmode - 1) < 2)
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if (sign_x && (unsigned) (rmode - 1) < 2)
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rmode = 3 - rmode;
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rmode = 3 - rmode;
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if (rmode == ROUNDING_UP)
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if (rmode == ROUNDING_UP)
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C64 = 1;
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C64 = 1;
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#endif
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#endif
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#endif
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#endif
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res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
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res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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// else more than 16 digits in coefficient
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// else more than 16 digits in coefficient
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#ifdef SET_STATUS_FLAGS
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#ifdef SET_STATUS_FLAGS
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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__set_status_flags (pfpsf, INVALID_EXCEPTION);
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#endif
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#endif
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res = 0x7c00000000000000ull;
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res = 0x7c00000000000000ull;
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BID_RETURN (res);
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BID_RETURN (res);
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}
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}
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