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authorUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
commitabfbdde177c3a7155070dda1b2cdc8292054cc26 (patch)
treee021306b596381fbf8311d2b7eb294e918ff17c8 /sysdeps/ieee754/ldbl-96/s_cbrtl.c
parent86421aa57ecfd70963ae66848bd6a6dd3b8e0fe6 (diff)
downloadglibc-abfbdde177c3a7155070dda1b2cdc8292054cc26.tar.gz
Update.
Diffstat (limited to 'sysdeps/ieee754/ldbl-96/s_cbrtl.c')
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diff --git a/sysdeps/ieee754/ldbl-96/s_cbrtl.c b/sysdeps/ieee754/ldbl-96/s_cbrtl.c
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+++ b/sysdeps/ieee754/ldbl-96/s_cbrtl.c
@@ -0,0 +1,78 @@
+/* Compute cubic root of double value.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Dirk Alboth <dirka@uni-paderborn.de> and
+ Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#define CBRT2 1.2599210498948731648 /* 2^(1/3) */
+#define SQR_CBRT2 1.5874010519681994748 /* 2^(2/3) */
+
+/* We don't use long double values here since U need not be computed
+ with full precision. */
+static const double factor[5] =
+{
+ 1.0 / SQR_CBRT2,
+ 1.0 / CBRT2,
+ 1.0,
+ CBRT2,
+ SQR_CBRT2
+};
+
+
+long double
+__cbrtl (long double x)
+{
+ long double xm, ym, u, t2;
+ int xe;
+
+ /* Reduce X. XM now is an range 1.0 to 0.5. */
+ xm = __frexpl (fabs (x), &xe);
+
+ /* If X is not finite or is null return it (with raising exceptions
+ if necessary.
+ Note: *Our* version of `frexp' sets XE to zero if the argument is
+ Inf or NaN. This is not portable but faster. */
+ if (xe == 0 && fpclassify (x) <= FP_ZERO)
+ return x + x;
+
+ u = (0.338058687610520237
+ + (1.67595307700780102
+ + (-2.82414939754975962
+ + (4.09559907378707839 +
+ (-4.11151425200350531
+ + (2.65298938441952296 +
+ (-0.988553671195413709
+ + 0.161617097923756032 * xm)
+ * xm)
+ * xm)
+ * xm)
+ * xm)
+ * xm)
+ *xm);
+
+ t2 = u * u * u;
+
+ ym = u * (t2 + 2.0 * xm) / (2.0 * t2 + xm) * factor[2 + xe % 3];
+
+ return __ldexpl (x > 0.0 ? ym : -ym, xe / 3);
+}
+weak_alias (__cbrtl, cbrtl)