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66 lines
2.1 KiB
C
66 lines
2.1 KiB
C
/* Compute x * y + z as ternary operation.
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Copyright (C) 2010-2018 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Jakub Jelinek <jakub@redhat.com>, 2010.
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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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<http://www.gnu.org/licenses/>. */
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#include <math.h>
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#include <fenv.h>
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#include <ieee754.h>
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#include <math_private.h>
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#include <libm-alias-float.h>
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/* This implementation relies on double being more than twice as
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precise as float and uses rounding to odd in order to avoid problems
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with double rounding.
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See a paper by Boldo and Melquiond:
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http://www.lri.fr/~melquion/doc/08-tc.pdf */
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float
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__fmaf (float x, float y, float z)
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{
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fenv_t env;
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/* Multiplication is always exact. */
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double temp = (double) x * (double) y;
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/* Ensure correct sign of an exact zero result by performing the
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addition in the original rounding mode in that case. */
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if (temp == -z)
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return (float) temp + z;
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union ieee754_double u;
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libc_feholdexcept_setround (&env, FE_TOWARDZERO);
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/* Perform addition with round to odd. */
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u.d = temp + (double) z;
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/* Ensure the addition is not scheduled after fetestexcept call. */
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math_force_eval (u.d);
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/* Reset rounding mode and test for inexact simultaneously. */
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int j = libc_feupdateenv_test (&env, FE_INEXACT) != 0;
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if ((u.ieee.mantissa1 & 1) == 0 && u.ieee.exponent != 0x7ff)
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u.ieee.mantissa1 |= j;
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/* And finally truncation with round to nearest. */
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return (float) u.d;
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}
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#ifndef __fmaf
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libm_alias_float (__fma, fma)
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#endif
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