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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 13:54:38 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 13:54:38 +0000
commit8c1ab65c0f548d20b7f177bdb736daaf603340e1 (patch)
treedf55b7e75bf43f2bf500845b105afe3ac3a5157e /libc-top-half/musl/src/math/fmaf.c
parentInitial commit. (diff)
downloadwasi-libc-8c1ab65c0f548d20b7f177bdb736daaf603340e1.tar.xz
wasi-libc-8c1ab65c0f548d20b7f177bdb736daaf603340e1.zip
Adding upstream version 0.0~git20221206.8b7148f.upstream/0.0_git20221206.8b7148f
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'libc-top-half/musl/src/math/fmaf.c')
-rw-r--r--libc-top-half/musl/src/math/fmaf.c92
1 files changed, 92 insertions, 0 deletions
diff --git a/libc-top-half/musl/src/math/fmaf.c b/libc-top-half/musl/src/math/fmaf.c
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+/* 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 && result - z == xy) || /* 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.
+ */
+ double err;
+ int neg = u.i >> 63;
+ if (neg == (z > xy))
+ err = xy - result + z;
+ else
+ err = z - result + xy;
+ if (neg == (err < 0))
+ u.i++;
+ else
+ u.i--;
+ z = u.f;
+ return z;
+}