Upgrade libm.
This brings us up to date with FreeBSD HEAD, fixes various bugs, unifies
the set of functions we support on ARM, MIPS, and x86, fixes "long double",
adds ISO C99 support, and adds basic unit tests.
It turns out that our "long double" functions have always been broken
for non-normal numbers. This patch fixes that by not using the upstream
implementations and just forwarding to the regular "double" implementation
instead (since "long double" on Android is just "double" anyway, which is
what BSD doesn't support).
All the tests pass on ARM, MIPS, and x86, plus glibc on x86-64.
Bug: 3169850
Bug: 8012787
Bug: https://code.google.com/p/android/issues/detail?id=6697
Change-Id: If0c343030959c24bfc50d4d21c9530052c581837
diff --git a/libm/upstream-freebsd/lib/msun/src/s_csqrtl.c b/libm/upstream-freebsd/lib/msun/src/s_csqrtl.c
new file mode 100644
index 0000000..dd18e1e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_csqrtl.c
@@ -0,0 +1,108 @@
+/*-
+ * Copyright (c) 2007-2008 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 <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+#include "math_private.h"
+
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+#pragma STDC CX_LIMITED_RANGE ON
+
+/* We risk spurious overflow for components >= LDBL_MAX / (1 + sqrt(2)). */
+#define THRESH (LDBL_MAX / 2.414213562373095048801688724209698L)
+
+long double complex
+csqrtl(long double complex z)
+{
+ long double complex result;
+ long double a, b;
+ long double t;
+ int scale;
+
+ a = creall(z);
+ b = cimagl(z);
+
+ /* Handle special cases. */
+ if (z == 0)
+ return (cpackl(0, b));
+ if (isinf(b))
+ return (cpackl(INFINITY, b));
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return (cpackl(a, t)); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrt(inf + NaN i) = inf + NaN i
+ * csqrt(inf + y i) = inf + 0 i
+ * csqrt(-inf + NaN i) = NaN +- inf i
+ * csqrt(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return (cpackl(fabsl(b - b), copysignl(a, b)));
+ else
+ return (cpackl(a, copysignl(b - b, b)));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /* Scale to avoid overflow. */
+ if (fabsl(a) >= THRESH || fabsl(b) >= THRESH) {
+ a *= 0.25;
+ b *= 0.25;
+ scale = 1;
+ } else {
+ scale = 0;
+ }
+
+ /* Algorithm 312, CACM vol 10, Oct 1967. */
+ if (a >= 0) {
+ t = sqrtl((a + hypotl(a, b)) * 0.5);
+ result = cpackl(t, b / (2 * t));
+ } else {
+ t = sqrtl((-a + hypotl(a, b)) * 0.5);
+ result = cpackl(fabsl(b) / (2 * t), copysignl(t, b));
+ }
+
+ /* Rescale. */
+ if (scale)
+ return (result * 2);
+ else
+ return (result);
+}