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134 lines
3.5 KiB
C
134 lines
3.5 KiB
C
/* Round to int long double floating-point values.
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IBM extended format long double version.
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Copyright (C) 2006-2020 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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/* This has been coded in assembler because GCC makes such a mess of it
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when it's coded in C. */
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#define NO_MATH_REDIRECT
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#include <math.h>
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#include <fenv.h>
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#include <math-barriers.h>
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#include <math_private.h>
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#include <fenv_private.h>
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#include <math_ldbl_opt.h>
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#include <float.h>
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#include <ieee754.h>
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#ifdef USE_AS_NEARBYINTL
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# define rintl nearbyintl
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# define __rintl __nearbyintl
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#endif
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long double
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__rintl (long double x)
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{
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double xh, xl, hi, lo;
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ldbl_unpack (x, &xh, &xl);
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/* Return Inf, Nan, +/-0 unchanged. */
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if (__builtin_expect (xh != 0.0
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&& __builtin_isless (__builtin_fabs (xh),
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__builtin_inf ()), 1))
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{
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double orig_xh;
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int save_round = fegetround ();
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/* Long double arithmetic, including the canonicalisation below,
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only works in round-to-nearest mode. */
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#ifdef USE_AS_NEARBYINTL
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SET_RESTORE_ROUND_NOEX (FE_TONEAREST);
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#else
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fesetround (FE_TONEAREST);
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#endif
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/* Convert the high double to integer. */
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orig_xh = xh;
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hi = ldbl_nearbyint (xh);
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/* Subtract integral high part from the value. If the low double
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happens to be exactly 0.5 or -0.5, you might think that this
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subtraction could result in an incorrect conversion. For
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instance, subtracting an odd number would cause this function
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to round in the wrong direction. However, if we have a
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canonical long double with the low double 0.5 or -0.5, then the
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high double must be even. */
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xh -= hi;
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ldbl_canonicalize (&xh, &xl);
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/* Now convert the low double, adjusted for any remainder from the
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high double. */
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lo = ldbl_nearbyint (xh);
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xh -= lo;
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ldbl_canonicalize (&xh, &xl);
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switch (save_round)
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{
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case FE_TONEAREST:
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if (xl > 0.0 && xh == 0.5)
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lo += 1.0;
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else if (xl < 0.0 && -xh == 0.5)
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lo -= 1.0;
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break;
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case FE_TOWARDZERO:
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if (orig_xh < 0.0)
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goto do_up;
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/* Fall thru */
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case FE_DOWNWARD:
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if (xh < 0.0 || (xh == 0.0 && xl < 0.0))
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lo -= 1.0;
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break;
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case FE_UPWARD:
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do_up:
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if (xh > 0.0 || (xh == 0.0 && xl > 0.0))
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lo += 1.0;
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break;
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}
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/* Ensure the final value is canonical. In certain cases,
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rounding causes hi,lo calculated so far to be non-canonical. */
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xh = hi;
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xl = lo;
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ldbl_canonicalize (&xh, &xl);
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/* Ensure we return -0 rather than +0 when appropriate. */
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if (orig_xh < 0.0)
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xh = -__builtin_fabs (xh);
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#ifdef USE_AS_NEARBYINTL
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math_force_eval (xh);
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math_force_eval (xl);
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#else
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fesetround (save_round);
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#endif
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}
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else
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/* Quiet signaling NaN arguments. */
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xh += xh;
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return ldbl_pack (xh, xl);
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}
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long_double_symbol (libm, __rintl, rintl);
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