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148 lines
3.7 KiB
C
148 lines
3.7 KiB
C
/* Round to integer type. ldbl-128ibm version.
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Copyright (C) 2016-2020 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include <errno.h>
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#include <fenv.h>
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#include <math.h>
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#include <math_private.h>
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#include <stdbool.h>
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#include <stdint.h>
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#define BIAS 0x3ff
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#define MANT_DIG 53
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#if UNSIGNED
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# define RET_TYPE uintmax_t
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#else
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# define RET_TYPE intmax_t
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#endif
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#include <fromfp.h>
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RET_TYPE
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FUNC (long double x, int round, unsigned int width)
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{
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double hi, lo;
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if (width > INTMAX_WIDTH)
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width = INTMAX_WIDTH;
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uint64_t hx, lx;
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ldbl_unpack (x, &hi, &lo);
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EXTRACT_WORDS64 (hx, hi);
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EXTRACT_WORDS64 (lx, lo);
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bool negative = (hx & 0x8000000000000000ULL) != 0;
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bool lo_negative = (lx & 0x8000000000000000ULL) != 0;
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if (width == 0)
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return fromfp_domain_error (negative, width);
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hx &= 0x7fffffffffffffffULL;
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lx &= 0x7fffffffffffffffULL;
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if ((hx | lx) == 0)
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return 0;
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int hi_exponent = hx >> (MANT_DIG - 1);
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hi_exponent -= BIAS;
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int exponent = hi_exponent;
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hx &= ((1ULL << (MANT_DIG - 1)) - 1);
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if (hx == 0 && lx != 0 && lo_negative != negative)
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exponent--;
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int max_exponent = fromfp_max_exponent (negative, width);
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if (exponent > max_exponent)
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return fromfp_domain_error (negative, width);
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int lo_exponent = lx >> (MANT_DIG - 1);
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lo_exponent -= BIAS;
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/* Convert the high part to integer. */
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hx |= 1ULL << (MANT_DIG - 1);
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uintmax_t uret;
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bool half_bit, more_bits;
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if (hi_exponent >= MANT_DIG - 1)
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{
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uret = hx;
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uret <<= hi_exponent - (MANT_DIG - 1);
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half_bit = false;
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more_bits = false;
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}
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else if (hi_exponent >= -1)
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{
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uint64_t h = 1ULL << (MANT_DIG - 2 - hi_exponent);
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half_bit = (hx & h) != 0;
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more_bits = (hx & (h - 1)) != 0;
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uret = hx >> (MANT_DIG - 1 - hi_exponent);
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}
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else
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{
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uret = 0;
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half_bit = false;
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more_bits = true;
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}
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/* Likewise, the low part. */
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if (lx != 0)
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{
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uintmax_t lo_uret;
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bool lo_half_bit, lo_more_bits;
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lx &= ((1ULL << (MANT_DIG - 1)) - 1);
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lx |= 1ULL << (MANT_DIG - 1);
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/* The high part exponent is at most 64, so the low part
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exponent is at most 11. */
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if (lo_exponent >= -1)
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{
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uint64_t h = 1ULL << (MANT_DIG - 2 - lo_exponent);
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lo_half_bit = (lx & h) != 0;
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lo_more_bits = (lx & (h - 1)) != 0;
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lo_uret = lx >> (MANT_DIG - 1 - lo_exponent);
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}
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else
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{
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lo_uret = 0;
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lo_half_bit = false;
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lo_more_bits = true;
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}
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if (lo_negative == negative)
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{
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uret += lo_uret;
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half_bit |= lo_half_bit;
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more_bits |= lo_more_bits;
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}
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else
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{
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uret -= lo_uret;
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if (lo_half_bit)
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{
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uret--;
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half_bit = true;
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}
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if (lo_more_bits && !more_bits)
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{
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if (half_bit)
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{
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half_bit = false;
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more_bits = true;
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}
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else
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{
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uret--;
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half_bit = true;
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more_bits = true;
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}
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}
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}
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}
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return fromfp_round_and_return (negative, uret, half_bit, more_bits, round,
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exponent, max_exponent, width);
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}
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