2017-01-01 00:14:16 +00:00
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/* Copyright (C) 1995-2017 Free Software Foundation, Inc.
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2006-01-28 00:15:15 +00:00
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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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2012-02-09 23:18:22 +00:00
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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2006-01-28 00:15:15 +00:00
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#include <ieee754.h>
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2015-11-13 12:03:46 +00:00
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#include <errno.h>
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2006-01-28 00:15:15 +00:00
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#include <float.h>
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#include <math.h>
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2015-11-17 18:27:39 +00:00
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/* Need to set this when including gmp headers after system headers. */
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#define HAVE_ALLOCA 1
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#include "gmp.h"
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#include "gmp-impl.h"
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2006-01-28 00:15:15 +00:00
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/* Convert a multi-precision integer of the needed number of bits (106
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for long double) and an integral power of two to a `long double' in
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IBM extended format. */
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long double
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__mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
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{
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union ibm_extended_long_double u;
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unsigned long lzcount;
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unsigned long long hi, lo;
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int exponent2;
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u.d[0].ieee.negative = sign;
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u.d[1].ieee.negative = sign;
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u.d[0].ieee.exponent = expt + IEEE754_DOUBLE_BIAS;
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u.d[1].ieee.exponent = 0;
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exponent2 = expt - 53 + IEEE754_DOUBLE_BIAS;
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2006-01-28 00:15:15 +00:00
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#if BITS_PER_MP_LIMB == 32
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/* The low order 53 bits (52 + hidden) go into the lower double */
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lo = frac_ptr[0];
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lo |= (frac_ptr[1] & ((1LL << (53 - 32)) - 1)) << 32;
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/* The high order 53 bits (52 + hidden) go into the upper double */
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hi = (frac_ptr[1] >> (53 - 32)) & ((1 << 11) - 1);
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hi |= ((unsigned long long) frac_ptr[2]) << 11;
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hi |= ((unsigned long long) frac_ptr[3]) << (32 + 11);
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#elif BITS_PER_MP_LIMB == 64
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/* The low order 53 bits (52 + hidden) go into the lower double */
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lo = frac_ptr[0] & (((mp_limb_t) 1 << 53) - 1);
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/* The high order 53 bits (52 + hidden) go into the upper double */
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hi = (frac_ptr[0] >> 53) & (((mp_limb_t) 1 << 11) - 1);
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hi |= (frac_ptr[1] << 11);
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#else
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#error "mp_limb size " BITS_PER_MP_LIMB "not accounted for"
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#endif
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if ((hi & (1LL << 52)) == 0 && (hi | lo) != 0)
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{
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/* denormal number */
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unsigned long long val = hi ? hi : lo;
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if (sizeof (val) == sizeof (long))
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lzcount = __builtin_clzl (val);
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else if ((val >> 32) != 0)
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lzcount = __builtin_clzl ((long) (val >> 32));
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else
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lzcount = __builtin_clzl ((long) val) + 32;
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if (hi)
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lzcount = lzcount - (64 - 53);
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else
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lzcount = lzcount + 53 - (64 - 53);
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if (lzcount > u.d[0].ieee.exponent)
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{
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lzcount = u.d[0].ieee.exponent;
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u.d[0].ieee.exponent = 0;
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exponent2 -= lzcount;
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}
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else
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{
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u.d[0].ieee.exponent -= (lzcount - 1);
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exponent2 -= (lzcount - 1);
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}
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if (lzcount <= 53)
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{
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hi = (hi << lzcount) | (lo >> (53 - lzcount));
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lo = (lo << lzcount) & ((1LL << 53) - 1);
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}
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else
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{
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hi = lo << (lzcount - 53);
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lo = 0;
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}
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}
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if (lo != 0)
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{
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/* hidden bit of low double controls rounding of the high double.
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If hidden is '1' and either the explicit mantissa is non-zero
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or hi is odd, then round up hi and adjust lo (2nd mantissa)
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plus change the sign of the low double to compensate. */
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if ((lo & (1LL << 52)) != 0
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&& ((hi & 1) != 0 || (lo & ((1LL << 52) - 1)) != 0))
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{
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hi++;
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if ((hi & (1LL << 53)) != 0)
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{
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hi >>= 1;
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u.d[0].ieee.exponent++;
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if (u.d[0].ieee.exponent == IEEE754_DOUBLE_BIAS + DBL_MAX_EXP)
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{
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/* Overflow. The appropriate overflowed result must
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be produced (if an infinity, that means the low
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part must be zero). */
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__set_errno (ERANGE);
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return (sign ? -LDBL_MAX : LDBL_MAX) * LDBL_MAX;
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}
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}
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u.d[1].ieee.negative = !sign;
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lo = (1LL << 53) - lo;
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}
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2013-08-17 08:49:44 +00:00
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/* Normalize the low double. Shift the mantissa left until
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the hidden bit is '1' and adjust the exponent accordingly. */
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2006-01-28 00:15:15 +00:00
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if (sizeof (lo) == sizeof (long))
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lzcount = __builtin_clzl (lo);
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else if ((lo >> 32) != 0)
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lzcount = __builtin_clzl ((long) (lo >> 32));
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else
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lzcount = __builtin_clzl ((long) lo) + 32;
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lzcount = lzcount - (64 - 53);
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lo <<= lzcount;
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exponent2 -= lzcount;
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2007-06-08 03:08:45 +00:00
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if (exponent2 > 0)
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u.d[1].ieee.exponent = exponent2;
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else if (exponent2 > -53)
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lo >>= 1 - exponent2;
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else
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lo = 0;
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}
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else
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u.d[1].ieee.negative = 0;
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u.d[1].ieee.mantissa1 = lo;
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u.d[1].ieee.mantissa0 = lo >> 32;
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u.d[0].ieee.mantissa1 = hi;
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u.d[0].ieee.mantissa0 = hi >> 32;
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return u.ld;
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}
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