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authorBruno Haible <bruno@clisp.org>2007-10-05 03:43:42 +0200
committerBruno Haible <bruno@clisp.org>2007-10-05 03:43:42 +0200
commitb064d497f3f612ba40acccbe3dcaccec7980ee39 (patch)
tree6d5eabe902bc313221aa2011b15f9b88dedd0913 /lib/ceil.c
parent3b63293b88852539e9df5eab6e4e056878cfb650 (diff)
downloadgnulib-b064d497f3f612ba40acccbe3dcaccec7980ee39.tar.gz
New module 'ceilf'.
Diffstat (limited to 'lib/ceil.c')
-rw-r--r--lib/ceil.c83
1 files changed, 83 insertions, 0 deletions
diff --git a/lib/ceil.c b/lib/ceil.c
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+++ b/lib/ceil.c
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+/* Round towards positive infinity.
+ Copyright (C) 2007 Free Software Foundation, Inc.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2, or (at your option)
+ any later version.
+
+ This program 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 General Public License for more details.
+
+ You should have received a copy of the GNU General Public License along
+ with this program; if not, write to the Free Software Foundation,
+ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */
+
+/* Written by Bruno Haible <bruno@clisp.org>, 2007. */
+
+#include <config.h>
+
+/* Specification. */
+#include <math.h>
+
+#include <float.h>
+
+#ifdef USE_LONG_DOUBLE
+# define FUNC ceill
+# define DOUBLE long double
+# define MANT_DIG LDBL_MANT_DIG
+# define L_(literal) literal##L
+#elif ! defined USE_FLOAT
+# define FUNC ceil
+# define DOUBLE double
+# define MANT_DIG DBL_MANT_DIG
+# define L_(literal) literal
+#else /* defined USE_FLOAT */
+# define FUNC ceilf
+# define DOUBLE float
+# define MANT_DIG FLT_MANT_DIG
+# define L_(literal) literal##f
+#endif
+
+/* 2^(MANT_DIG-1). */
+static const double TWO_MANT_DIG =
+ /* Assume MANT_DIG <= 5 * 31.
+ Use the identity
+ n = floor(n/5) + floor((n+1)/5) + ... + floor((n+4)/5). */
+ (DOUBLE) (1U << ((MANT_DIG - 1) / 5))
+ * (DOUBLE) (1U << ((MANT_DIG - 1 + 1) / 5))
+ * (DOUBLE) (1U << ((MANT_DIG - 1 + 2) / 5))
+ * (DOUBLE) (1U << ((MANT_DIG - 1 + 3) / 5))
+ * (DOUBLE) (1U << ((MANT_DIG - 1 + 4) / 5));
+
+DOUBLE
+FUNC (DOUBLE x)
+{
+ /* The use of 'volatile' guarantees that excess precision bits are dropped
+ at each addition step and before the following comparison at the caller's
+ site. It is necessary on x86 systems where double-floats are not IEEE
+ compliant by default, to avoid that the results become platform and compiler
+ option dependent. 'volatile' is a portable alternative to gcc's
+ -ffloat-store option. */
+ volatile DOUBLE y = x;
+ volatile DOUBLE z = y;
+
+ /* Round to the next integer (nearest or up or down, doesn't matter). */
+ if (z > L_(0.0))
+ {
+ z += TWO_MANT_DIG;
+ z -= TWO_MANT_DIG;
+ }
+ else if (z < L_(0.0))
+ {
+ z -= TWO_MANT_DIG;
+ z += TWO_MANT_DIG;
+ }
+ /* Enforce rounding up. */
+ if (z < y)
+ z += L_(1.0);
+
+ return z;
+}