| Index: fusl/src/math/fmaf.c
|
| diff --git a/fusl/src/math/fmaf.c b/fusl/src/math/fmaf.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..aa57feb69567c67a79aae02fc7ea18e07d22fd12
|
| --- /dev/null
|
| +++ b/fusl/src/math/fmaf.c
|
| @@ -0,0 +1,93 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/s_fmaf.c */
|
| +/*-
|
| + * Copyright (c) 2005-2011 David Schultz <das@FreeBSD.ORG>
|
| + * All rights reserved.
|
| + *
|
| + * Redistribution and use in source and binary forms, with or without
|
| + * modification, are permitted provided that the following conditions
|
| + * are met:
|
| + * 1. Redistributions of source code must retain the above copyright
|
| + * notice, this list of conditions and the following disclaimer.
|
| + * 2. Redistributions in binary form must reproduce the above copyright
|
| + * notice, this list of conditions and the following disclaimer in the
|
| + * documentation and/or other materials provided with the distribution.
|
| + *
|
| + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
|
| + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
| + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
| + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
|
| + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
| + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
| + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
| + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
| + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
| + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
| + * SUCH DAMAGE.
|
| + */
|
| +
|
| +#include <fenv.h>
|
| +#include <math.h>
|
| +#include <stdint.h>
|
| +
|
| +/*
|
| + * Fused multiply-add: Compute x * y + z with a single rounding error.
|
| + *
|
| + * A double has more than twice as much precision than a float, so
|
| + * direct double-precision arithmetic suffices, except where double
|
| + * rounding occurs.
|
| + */
|
| +float fmaf(float x, float y, float z)
|
| +{
|
| + #pragma STDC FENV_ACCESS ON
|
| + double xy, result;
|
| + union {double f; uint64_t i;} u;
|
| + int e;
|
| +
|
| + xy = (double)x * y;
|
| + result = xy + z;
|
| + u.f = result;
|
| + e = u.i>>52 & 0x7ff;
|
| + /* Common case: The double precision result is fine. */
|
| + if ((u.i & 0x1fffffff) != 0x10000000 || /* not a halfway case */
|
| + e == 0x7ff || /* NaN */
|
| + result - xy == z || /* exact */
|
| + fegetround() != FE_TONEAREST) /* not round-to-nearest */
|
| + {
|
| + /*
|
| + underflow may not be raised correctly, example:
|
| + fmaf(0x1p-120f, 0x1p-120f, 0x1p-149f)
|
| + */
|
| +#if defined(FE_INEXACT) && defined(FE_UNDERFLOW)
|
| + if (e < 0x3ff-126 && e >= 0x3ff-149 && fetestexcept(FE_INEXACT)) {
|
| + feclearexcept(FE_INEXACT);
|
| + /* TODO: gcc and clang bug workaround */
|
| + volatile float vz = z;
|
| + result = xy + vz;
|
| + if (fetestexcept(FE_INEXACT))
|
| + feraiseexcept(FE_UNDERFLOW);
|
| + else
|
| + feraiseexcept(FE_INEXACT);
|
| + }
|
| +#endif
|
| + z = result;
|
| + return z;
|
| + }
|
| +
|
| + /*
|
| + * If result is inexact, and exactly halfway between two float values,
|
| + * we need to adjust the low-order bit in the direction of the error.
|
| + */
|
| +#ifdef FE_TOWARDZERO
|
| + fesetround(FE_TOWARDZERO);
|
| +#endif
|
| + volatile double vxy = xy; /* XXX work around gcc CSE bug */
|
| + double adjusted_result = vxy + z;
|
| + fesetround(FE_TONEAREST);
|
| + if (result == adjusted_result) {
|
| + u.f = adjusted_result;
|
| + u.i++;
|
| + adjusted_result = u.f;
|
| + }
|
| + z = adjusted_result;
|
| + return z;
|
| +}
|
|
|