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+/* 128-bit floating point to 32-bit floating point.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library 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
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <quad_float.h>
+
+/* float _q_qtos(const long double *a);
+ Convert 'a' to float. Round as per current rounding flags.
+
+ Input Rounding Output
+ +/-0 * +/-0
+ +/-Inf * +/-Inf
+ +/-NaN * +/-NaN (with mantissa truncated)
+ +/-SNaN * +/-NaN (with mantissa truncated, MSB of mantissa <- 1)
+ && raise VXSNAN
+ [Note: just truncating the mantissa may not give you
+ a SNaN!]
+ |a|>=2^128 Nearest +/-Inf && raise overflow && raise inexact
+ |a|>=2^128 Truncate +/-(2^128-2^104) && raise overflow && raise inexact
+ a>=2^128 +Inf +Inf && raise overflow && raise inexact
+ a<=-2^128 +Inf -(2^128-2^104) && raise overflow && raise inexact
+ a>=2^128 -Inf +(2^128-2^104) && raise overflow && raise inexact
+ a<=-2^128 -Inf -Inf && raise overflow && raise inexact
+
+ We also need to raise 'inexact' if the result will be inexact, which
+ depends on the current rounding mode.
+
+ To avoid having to deal with all that, we convert to a 'double'
+ that will round correctly (but is not itself rounded correctly),
+ and convert that to a float. This makes this procedure much
+ simpler and much faster. */
+
+float
+__q_qtos(const unsigned long long a[2])
+{
+ unsigned long long a0,d;
+ union {
+ double d;
+ unsigned long long ull;
+ } u;
+
+ a0 = a[0];
+
+ /* Truncate the mantissa to 48 bits. */
+ d = a0 << 4;
+ /* Set the low bit in the mantissa if any of the bits we are dropping
+ were 1. This ensures correct rounding, and also distinguishes
+ 0 and Inf from denormalised numbers and SNaN (respectively). */
+ d |= a[1] != 0;
+ /* Copy the sign bit. */
+ d = d & 0x7fffffffffffffffULL | a0 & 0x8000000000000000ULL;
+
+ /* Now, we need to fix the exponent. If the exponent of a was in
+ the range +127 to -152, or was +16384 or -16383, it is already
+ correct in 'd'. Otherwise, we need to ensure that the new
+ exponent is in the range +1023 to +128, or -153 to -1022, with
+ the same sign as the exponent of 'a'. We can do this by setting
+ bits 1-3 (the second through fourth-most significant bit) of 'd'
+ to 101 if bit 1 of 'a' is 1, or 010 if bit 1 of 'a' is 0. */
+ if ((a0 >> 56 & 0x7f) - 0x3f > 1)
+ {
+ unsigned t = (a0 >> 32+2 & 2 << 31-1-2)*3 + (2 << 31-2);
+ d = (d & 0x8fffffffffffffffULL
+ | (unsigned long long)t<<32 & 0x7000000000000000ULL);
+ }
+
+ u.ull = d;
+ return (float)u.d;
+}